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411 Cards in this Set
- Front
- Back
Who are all of the firm's stakeholders that contract with the firm? (There are 6)
|
-customers
-suppliers -creditors -shareholders -managers -employees |
|
Who, among those contracting with the firm, are looking out for the firm's best interests?
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none of them
|
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Whose interest do managers look out for?
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their own
|
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What are agency costs?
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the costs of hiring people to do your work for you
|
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Whose interest are managers hired to look out for?
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shareholders
|
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What are two examples of agency costs?
|
-the agent doesn't do your work as well as you would
-the cost of monitoring the agent to make sure they're doing what they're supposed to do (ex. nanny cam) |
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What are three costs of management agents acting in their own best interests?
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-consumption of prerequisites (perks)
-shirking -maximizing firm size |
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What is shirking?
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not working as hard as the shareholders would if they were managing the company themselves
|
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What is the most costly of the three costs of management agents acting in their own best interests?
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maximizing firm size
|
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What is the usual cause of managers' maximizing firm size?
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overconfidence
|
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When is maximizing firm size a problem?
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if FCF is kept in the firm by investing in poor projects
|
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What are three costs of monitoring management?
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-board of directors
-auditors -inefficient compensation and financial policies |
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Who watches out for shareholder interest above the level of management?
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the board of directors
|
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Who is the objective third party that ensures a company is managed properly?
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auditors
|
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What are two options companies have to try to avoid inefficient compensation and financial policies?
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-you could borrow a lot
-you could pay managers with options so they are more concerned with stock price |
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What would be the result if the company borrowed a lot to avoid inefficient compensation and financial policies?
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the risk of bankruptcy would increase
|
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What would be the result if the company paid managers in options so they would be interested in stock price, in order to avoid inefficient compensation and financial policies?
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-this could result in game playing to inflate earnings
-they would want to be paid more because their compensation is tied to a risky asset |
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What effect do agency costs have on the value of the firm?
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agency costs decrease the value of the firm
|
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What happens to stock price, with the sudden death of a CEO? When is this effect greater?
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-it goes up
-this is more true, the more entrenched the CEO is |
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What are two reasons stock price increases with the sudden death of a CEO?
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-the new CEO is less able to waste money and empire build
-the board exerts more control |
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What does the announcement of an investment do to the value of the firm?
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decreases it
|
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Why did oil companies invest in department stores, office supplies, etc, in the 1980s? What effect did this have on their stock price?
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-oil companies in the 1980's had excess cash, and exploration wasn't sensible at the time
-the investments caused the companies' stock prices to fall |
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How do shares with superior voting rights trade? What is this indicative of?
|
-they trade at a premium
-this indicates the benefits of control, and gives a rough indication of the value you can extract from a firm if you can control it |
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What are three ways to minimize agency costs?
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-align managers' interests through compensation
-borrow (increase debt) -make sure free cash is paid out in dividends |
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What is free cash?
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what's left over after required payments and worthwhile investments
|
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How do you align mangers' interests through compensation?
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stocks
|
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What are three limits to how effective paying managers with stock options is?
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-they want more compensation, because stock is risky
-they only bear 1% of the costs of shirking or perks, so this isn't much of a deterrent -they only reap 1% of the benefits of wise decisions, so that's not much of an incentive |
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If a call is out of the money, under which conditions can it still have value? Why?
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-if there is still time left
-there's still a chance that it will move into the money |
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Why is a call less risky than a stock?
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if you buy a call at $30, and the stock price falls off, you lose only the call price; if you bought stock, you would lose everything
|
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Is a call worth more at expiration, or before it?
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a call is worth more prior to expiration
|
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What does time do for a call?
|
provides insurance
|
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What is the difference between American and European options?
|
-with American options, you can exercise at expiration or before?
-this isn't the case with European options |
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What is the essential insight of Black-Scholes?
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-you can replicate the call option by borrowing and buying stock in proper proportions
-you can change the value of the portfolio, which changes the value of the call -the value of the portfolio = the value of the call |
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The value of the portfolio ____ the value of the call, according to Black-Scholes.
|
=
|
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With Black-Scholes, how should you measure time?
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it doesn't matter, as long as you're consistent with the time, interest rate, and volatility
|
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What happens to the price of the call, when stock price increases?
|
it increases, but it can be by a smaller dollar amount
|
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If there is a 100% of exercise, if the stock price goes up by $1, by how much would the call price go up? Why?
|
-$1
-because you get that $1 at expiration |
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If there is no chance of exercise, if the stock price goes up by $1, by how much would the call price go up?
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-the call price wouldn't be affected at all
|
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Because the chance of exercise is between 0% and 100%, how much does the call price increase when stock price increases?
|
-by a percentage of the stock price increase
-in line with the percentage chance of exercise |
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As the likelihood of exercise increases, call price increases _______ with stock price increases, and vice versa.
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more in line
|
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The option provides a bigger return on the call, on which of the following: the upside or the downside?
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both
|
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What happens to the value of the call if you increase the price? Why?
|
-decreases the value of the call
-the right to buy something at a higher price is worth less |
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Is a call worth more or less when you increase volatility?
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more
|
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Why is a call ALWAYS worth more if you increase volatility?
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-stock price goes up
-call is further in the money |
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Is a call worth more or less when you increase volatility?
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less
|
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Why is a call ALWAYS worth less if you decrease volatility?
|
-stock price goes down
-call is further out of the money |
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You gain on the ______ of volatility, with calls.
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upside
|
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Does the probability of exercise increase when volatility increases?
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-it can, but not necessarily
|
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If you are out of the money, and have low volatility do you exercise?
|
no
|
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If you are out of the money and have low volatility, you wouldn't exercise; what happens if you increase volatility?
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there is a chance of exercise
|
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If you are in the money, and have low volatility, do you exercise?
|
yes
|
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If you are in the money and have low volatility, you would exercise; what happens if you increase volatility?
|
you may decrease the chance of exercise
|
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The call is priced relative to what?
|
the stock
|
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What do you get to do with the exercise price, when you buy a call?
|
you get to save the exercise price and earn interest on it in the meantime
|
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What happens to the value of the call when you increase the interest rate? Is this always the case?
|
-increasing the interest rate increases the value of the call
-yes, this is always the case |
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What happens to the value of the call when you increase the time to expiration? Is this always the case?
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-increasing time to expiration increases the value of the call
-yes, this is always the case |
|
What are two reasons increasing time to expiration always increases the value of the call?
|
-you delay paying the exercise price longer, so you are earning more interest on the money
-over a longer time period, you have a greater range of possible stock prices |
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Why shouldn't you exercise call options early? Is this always the case?
|
-this reduces the time to expiration, which reduces the value of the call
-essentially, you are reducing T to zero -no, there are exceptions to this rule |
|
What is one circumstance in which exercising a call option early may be a good idea?
|
after a dividend is announced, before it is paid - before the stock price is reduced
|
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Increase S means _____ C
|
increase
|
|
Increase X means _______ C
|
decrease
|
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Increase r means ______ C
|
increase
|
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Increase sigma means ____ C
|
increase
|
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Increase T means ______ C
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increase
|
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How many trading days are there in a year?
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252
|
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With call options, you ____ on the upside, and ______ on the downside.
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-gain
-don't lose |
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What is the main benefit of call options?
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you gain on the upside, and don't lose on the downside
|
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What is the implication if model price is higher than market price?
|
market price is a little low
|
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How does employee options vesting usually work?
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-annual
-usually over four years |
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How is vesting of employee options an important retention tool?
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employees don't usually leave if they have unvested options
|
|
Why is vesting especially useful when the company is doing well?
|
-options are worth more
-when the company is doing well, this is the time they will want to hold on to employees |
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Why don't you want to exercise early when stock is volatile?
|
the option is worth more
|
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Why do people exercise early when volatile stock is up, even though it isn't advisable?
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people are risk averse
|
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What gives the implied volatilities for S&P 500 options?
|
VIX
|
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What is the method to get a handle on the volatility expectations for the market?
|
VIX
|
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Why doesn't exercising call options affect the company?
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you are just buying someone else's shares from them
|
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What are two ways warrants affect the company?
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-company gets cash
-more shares outstanding |
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Are warrants more common in Europe or the US?
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Europe
|
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What are two instances in which warrants have been issued in the US?
|
-IPOs
-TARP issued warrants to the federal government |
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If you increase the number of warrants, what happens to the value of each warrant? Why?
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-the value of each warrant goes down
-you have increased dilution |
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What happens if you use the Black-Scholes price for the value of the conversion feature?
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you will over-value it
|
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What is the only instance in which you would want to convert a warrant early?
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if there's a large dividend
|
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What is the implication if you call a bond (warrant)?
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-bad news
-indicates you don't think the dividends will be large enough for you to want to convert |
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At low prices, how many perks do you get per share of stock?
|
one
|
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As you reach cap prices, how many perks do you get per share of stock?
|
cap price divided by market price
|
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When stock price is less than cap price, would the firm rather have issued stock or perks?
|
stock
|
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Why, when stock price is less than cap price, would the firm rather have issued stock?
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because the holder of the perk has one share of stock either way, but the perk has more dividends
|
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When stock price is more than cap price, would the firm rather have issued stock or perks?
|
perks
|
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What is the implication, if a company issues perks rather than equity?
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-positive signal
-offsets information asymmetry that comes with issuing equity -means you think stock price will be more than cap price |
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When was the floating price convertible popular?
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the 90's
|
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What are two features of the floating price convertible?
|
-convert at a discount to the average price over the last six months
-the dollar amount of the stock you get is set, but not the price that you pay (if the price per share goes down, you will get more shares at the lower price) |
|
What is a death spiral convertible?
|
floating price convertible
|
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Why is the floating price convertible called the death spiral convertible?
|
-if you are buying these, you are incentivized to short the stock, so you can get more shares at the lower price
-then you are incentivized to short that stock -eventually, you could drive the stock price all the way down |
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What is the implication if stock price goes up when you take on a long-term project?
|
the market thinks the project will have positive long-term consequences
|
|
What are 9 typical compensation package features?
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-stock options
-bonuses -retirement -loans -perks -commissions -base pay/salary -restricted stock -golden parachutes |
|
What three compensation package features incentivize risk taking?
|
-stock options
-bonuses -golden parachutes |
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If management doesn't have options, what is the impact on risk taking?
|
you aren't incentivized to take enough risk
|
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Do stock options always lead managers to take on risky projects?
|
no
|
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If a firm has a lot of debt, does it pay off to increase volatility?
|
yes
|
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What do you look at, when considering real options?
|
-incremental cash flow
-not accounting profit |
|
What are incremental cash flows?
|
cash flows that result as a result of your decision to take on an investment
|
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How do sunk costs factor in to incremental cash flows?
|
you ignore them
|
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What are three considerations, in figuring out incremental cash flows?
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-dont' ignore working capital needs
-be careful about how overhead is calculated -consider incidental effects on the remainder of the business |
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How do you incorporate overhead in determining incremental cash flows?
|
only incorporate the change in overhead that occurs as a result of of taking on this project
|
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Opportunity gains are _____ the incremental cash flows.
|
included in
|
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Opportunity costs are _____ incremental cash flows.
|
subtracted from
|
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What do you give up, when you take a project now?
|
the opportunity to take it at a later date
|
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If there is no competition, do we expand or abandon the project?
|
expand
|
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Could delaying a project land you a higher NPV?
|
-yes, sometimes
-ex. Timber |
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Why does the value at which you increase your option go up when you increase the variance?
|
you're giving up a more valuable option
|
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What is Delta?
|
the yield on a project
|
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What do some companies do to avoid taking projects?
|
use hurdle rates that are way too high
|
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With a stock, as time to expiration increases, what happens to total variance?
|
it increases
|
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What are the uses for the Perpetual American Call?
|
options to purchase that do not expire
|
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What do you give up by delaying exercise, with the Perpetual American Call?
|
cash flow
|
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What is the primary suggestion when deciding whether to use the Perpetual American Call?
|
if you don't have sole rights to a project, it isn't a perpetuity
|
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What is the most important consideration when deciding whether to use the Perpetual American Call? What is the implication of this consideration?
|
-is the value of the project, minus cost of the project, and minus the value of foregone opportunity to take the project later, positive?
-you will only tend to take on the project when the value is pretty high |
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If you increase volatility, what happens to the value of the real option?
|
it increases
|
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If volatility increases, should you take on a project? Why?
|
-you should wait until the project value is higher
-otherwise, you will give up the more valuable option to take it at a later date |
|
What is yield?
|
-the actual income we get from taking a project
-ex: rents on a building |
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If interest rates increase, what happens to the value of the real option? Why?
|
-it increases
-because we will earn more interest on the cost of implementing the project, so we'll wait |
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If there is competition, when should you take on a project?
|
as soon as NPV is positive
|
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When should a company exercise the real option to go public?
|
you should wait a long time, until the value is high
|
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What does greater volatility mean in the world of real options?
|
greater volatility means the greater the value the project has to be before you will take it
|
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As the market goes up, which firms exercise their option to go public?
|
crappier firms with higher volatility
|
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What type of option is the option to abandon production?
|
put option
|
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What three things do you give up when you decide to abandon a project?
|
-losses
-cost of abandoning -option |
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What is P*, in the option to abandon production?
|
the revenue level at which we stop production
|
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What are two reasons companies will operate at a loss for a period of time?
|
-there's always a chance that revenues will return
-you always have the real option to abandon later, but once you do that, it's all over |
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If variance in revenues increases, what happens to the real option to abandon production (and thus, any real put option)?
|
-it increases
|
|
When will you give up the real put option, in terms of revenues?
|
When revenues are lower
|
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All else equal, do we like the project more or less, the more volatile the cashflows? Why?
|
-the more volatile the cash flows, the more we like the project
-because we gain on the upside, and on the downside, we just stop producing |
|
When it's cheaper to abandon a project, is the project worth more or less? What about the value of the put option to abandon?
|
-more
-we can abandon at a higher value -the value of the put option increases, as well |
|
With higher volatility, what happens to the value of the put option to abandon?
|
increases
|
|
With higher interest rates, what happens to the likelihood of exercising of the put option to abandon? Why?
|
-decreases
-when you exercise a put, you get cash, so increasing the interest rate means you will wait to exercise so you can get more cash later |
|
As price increases, what happens to the value of the put option to abandon a project?
|
decreases
|
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When revenues increase, what happens to the value of the option to abandon? What happens to the value of the project?
|
-value of the option falls
-value of the project increases |
|
When variance increases, what happens to the value of the option to abandon? What happens to the value of the project?
|
they both increase
|
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When interest rates increase, what happens to the value of the option to abandon? What happens to the value of the project? (Why?)
|
-value of the option falls
-value of the project increases (because you can discount your costs at a higher rate) |
|
When yield decreases, what happens to the value of the option to abandon? What happens to the value of the project?
|
-value of the option falls
-value of the project increases |
|
What dictates the cost of arbitrage?
|
risk-free interest rate
|
|
If we decrease revenues, what happens to the value of the option to stop production costlessly and restart?
|
-we will stop producing
-value of the project remains equal |
|
What is the relationship between correlation of two inputs and epsilon?
|
-positive
-higher correlation = higher epsilon |
|
If correlation is higher, what happens to the value of the option to switch between inputs?
|
decreases
|
|
With regards to the option to switch between inputs, if the current cost of the alternative increases, what happens to the value of the project? Why?
|
-value of the project decreases
-because, even though we aren't using the alternative at this time, the value of the option to switch between the two has decreased |
|
With regards to the value of the option to switch between inputs, if variance decreases, what happens to the value of the project?
|
decreases
|
|
When you take on projects, what options are you acquiring? What options are you giving up?
|
-you are acquiring opportunities, which is the same as acquiring options
-there are opportunity costs, which are the same as giving up options |
|
What do we consider variance of debt to be, for the sake of ease of calculation, in option pricing and capital budgeting in practice?
|
0
|
|
For what purpose are credit ratings most being used, currently?
|
regulatory purposes
|
|
What is the lowest possible investment grade?
|
BBB-
|
|
What two ratings are assigned to speculative, or junk bonds?
|
BB or B
|
|
What is Moody's primary concern, in the event of default? Is S&P concerned about this, as well?
|
-rate of recovery in the event of default
-S&P is less concerned |
|
Are credit agency ratings defined as qualitative or quantitative?
|
-qualitative
-to protect themselves from liability |
|
How can credit rating agencies claim that only one AAA rated bond has defaulted over the last ten years?
|
they downgrade bonds once they recognize a chance of default
|
|
When a bond is downgraded, what is the abnormal return of the stock?
|
-2.67%
|
|
In the 300 days prior to the downgrade of a stock, what is the abnormal return of the stock? What is the implication?
|
--21%
-in large part, bond downgrade is reactionary; because the abnormal returns after downgrade are -2.67% -rating agencies are sometimes criticized for taking too long to downgrade bonds |
|
Why is bond rating important to companies?
|
it is a big part of capital structure decisions
|
|
Is a company with A- rating more or less likely to issue debt than a company with A rating? Why?
|
-less likely
-bond ratings have a significant effect on interest rates |
|
Can interest rates change automatically with changes in your credit ratings?
|
yes
|
|
What did the 1973 SEC Net Capital Rule state?
|
-brokerage firms have to hold on to a certain amount of capital
-the amount of capital required depends on the ratings of the bonds they hold -ratings have to be provided by a nationally recognized statistical rating organization |
|
What effect did the 1973 SEC Net Capital Rule have on the bond rating industry?
|
-created barriers to entry
-the only way to become nationally recognized was to rate bonds, but no one wanted you to rate their bonds if you weren't nationally recognized -there were only 3 rating agencies |
|
What portion of all corporate bonds are held by insurance companies?
|
about 40%
|
|
Who controls who is allowed to hold bonds?
|
credit rating agencies have a great deal of control over this
|
|
What is the problem with charging users of credit ratings? Who do agencies sell to instead, in order to avoid this problem?
|
-credit information is expensive to produce and cheap to reproduce
-agencies now sell to issuers of bonds instead -they have done this for the last 30 years |
|
Why does charging issuers of bonds for credit ratings work?
|
-AAA holders will want to distinguish themselves from the next rating level down, and so on...
-all but the lowest quality bonds will find it worthwhile to pay to be rated |
|
Why would bond buyers want ratings to be inflated?
|
higher rated bonds have lower capital requirements
|
|
What was the biggest problem with rating mortgage backed securities?
|
correlations between performance of individual mortgages were higher than agencies thought
|
|
Other than correlation misconception, what was another problem with ratings of mortgage back securities?
|
-ratings shopping
-people would shop around to find who would give them the best rating |
|
What percentage of mortgage backed securities only had one agency rate them? What was the implication there?
|
-20%
-these were more likely to default |
|
What is the current push regarding rating agencies?
|
-more regulation of the agencies
-make it easier to sue agencies for inaccurate information |
|
Are credit default spreads a good alternative to credit ratings?
|
-not really
-if spreads increased rapidly, response would be quick - you would see massive selling at the same time, which could have catastrophic effects -bond rating reductions take more time, and thus spread out the selling |
|
If stock price goes up by $1, what happens to the call price?
|
it goes up by less than $1
|
|
If exercise price increases, what happens to the value of the call option?
|
decreases
|
|
If volatility decreases, what happens to the value of the call option? Why?
|
-increases
-if volatility goes up, if stock price increases, you are further in the money, and the call option is worth more; if stock price decreases, you are further out of the money, but the call option is worth the same |
|
If interest rates increase, what happens to the value of the call option?
|
increases
|
|
A call is priced relative to what?
|
stock
|
|
What should you do with your call option if the stock goes down?
|
hold on to the call, and invest at the higher interest rate
|
|
If time to expiration increases, what happens to the value of the call?
|
increases
|
|
What are the two reasons that the value of the call increases as time to expiration increases?
|
-more time to accrue interest
-over the year, you gain on the upside and only lose a little on the downside; with more time to expiration, you have more time to capture the upside |
|
________ exercise the option early
|
don't
|
|
Why are stock options the exception to the don't exercise early rule?
|
you can't sell them
|
|
How do you find out the price of a put?
|
-find the price of the call using Black-Scholes
-plug that number into the put-call parody formula |
|
What is a convertible bond similar to?
|
it's like a straight call plus a warrant
|
|
Convertible bond =
|
= straight call + warrant
|
|
What is the difference between a warrant and a call option?
|
-a warrant is like a call option except for dilution
-company gets cash AND issues more shares with a warrant |
|
What is a bad reason for issuing convertibles?
|
lower yield means they're cheaper
|
|
What are three good reasons for issuing convertibles?
|
-minimizes the conflict of interest between debt & equity
-indirect way of issuing equity -staged financing argument |
|
How do convertibles minimize the conflict of interest between debt & equity?
|
-equity prefers risky investments
-when you issue convertibles, you have to share the upside, so there's less incentive for risk |
|
What makes options valuable?
|
volatility
|
|
In what cases should you use Black-Scholes?
|
-in cases where uncertainty doesn't grow with time
-like drug trials |
|
When you undertake test marketing, what, in effect, are you getting?
|
an option to produce the drug
|
|
What determines whether it is worth doing a drug trial?
|
the value of the option to produce the drug
|
|
What is the main concern of risk management?
|
when is it worthwhile to hedge, and when should we manage risk
|
|
How worthwhile is it to lower the volatility of stock, in risk management
|
not worthwhile overall
|
|
Why wouldn't Apache want to hedge?
|
shareholders' incentive to invest is the risk of oil prices increasing
|
|
What is a main consideration in risk management?
|
market imperfections like taxes
|
|
When taxes increase at an increasing rate with income, what do we want to do? What is the implication here?
|
-we want to minimize variation of income
-this may provide one reason for hedging |
|
What are three reasons for hedging?
|
-when taxes increase at an increasing rate with income, we want to minimize variation of income
-managerial risk aversion -costly external financing |
|
Why is managerial risk aversion a reason to hedge?
|
-you can pay managers less and pay with stock if value of stock is based on factors within their control
-you can achieve this through hedging |
|
Why is costly external financing a reason to hedge?
|
-internal cash flows are the cheapest way to finance any investment
-by hedging, we can generate cash when we need it for investments, and use it up when we don't |
|
What are three possible reasons ratings agencies failed so miserably in 2007 and 2008?
|
-correlation misperceptions
-ratings shopping -agencies were too busy to handle all the business |
|
What is a useful way to look at a company?
|
-a legal fiction that serves as a nexus of contracts
-a simple connecting point for contracts |
|
Why do firms exist?
|
to minimize the costs of contracting between owners of productive inputs
|
|
What are the two types of agency costs?
|
-agents don't behave as you would if you were acting on your own behalf
-you have to monitor agents to make sure they are behaving as they should |
|
What are three costs of agents acting in their own best interests?
|
-consumption of prerequisites
-shirking -maximizing firm size |
|
When is maximizing firm size a problem?
|
when free cash flow is kept in the firm by investing in poor projects
|
|
What are three costs of monitoring management?
|
-board of directors
-auditors -inefficient compensation and financial policies (if you pay in options, it's risky, so managers will want to be paid more to compensate for that risk) |
|
What are three ways to minimize agency costs?
|
-align managers' interests with shareholders through compensation
-borrow -make sure they pay out fcf in the form of dividends |
|
What is the underlying security?
|
the specified security
|
|
What is the exercise, or strike price?
|
the specified price
|
|
What is the expiration date?
|
the last day the holder can use th e option to buy stock
|
|
How are exchange traded puts used?
|
-hedging and risk management
-not relevant for executive compensation |
|
What does the Chicago Board Operations Exchange (CBOE) list?
|
-put options
-call options -hundreds of stocks |
|
Where are equity options other than calls and puts listed?
|
-American Stock Exchange
-Philadelphia Exchange -Pacific Exchange |
|
On what indices do options trade?
|
-S&P 500
-S&P 100 -DJIA -several other industry indices |
|
What is a futures contract?
|
a contract negotiated today to exchange some good at a fixed price at a future date
|
|
What types of futures contracts do options now trade on?
|
-agricultural products
-metals -treasury securities -currencies |
|
What is an American Option?
|
can be exercised on or before expiration
|
|
What types of options are traded on the S&P 500?
|
European Options
|
|
What is a European Option?
|
can only be exercised at expiration
|
|
What type of settlement do options on indices have?
|
cash settlement
|
|
How does a call buyer usually take profits?
|
by writing an equivalent call to cancel out the position
|
|
What does it mean to say an option has a cash settlement?
|
if you have a call option, you can't exercise it and receive stocks in the index; instead, you only receive difference between the index value and the exercise price in cash
|
|
How are options on individual stocks settled?
|
only by receiving shares
|
|
Before expiration, for how much must a call option sell?
|
more than S-X
|
|
Before expiration, for how much must a put option sell?
|
more than X-S
|
|
Why does a call option still have value if, prior to expiration, stock price (S) is less than exercise price (X), and thus, the option is out of the money?
|
there's always a chance that the option will be in the money at expiration
|
|
If S<X at expiration, do you exercise the call?
|
no
|
|
What model do we use to value European Options prior to expiration?
|
Black-Scholes
|
|
What is the implication of Black-Scholes?
|
-if you borrow money and buy shares in the proper proportions, you can duplicate the return on a call option for infinitely short intervals
-thus, the call today must have the same value as the combination of borrowing and buying shares |
|
What are the 4 assumptions of Black-Scholes?
|
-no transaction costs or limitations on borrowing and shortselling (nothing will prevent option traders from taking advantage of arbitrage opportunities)
-underlying stock pays no dividends (ensures no early exercise) -riskless rate of interest is constant -distribution of stock prices is log-normal over any time interval, meaning stock returns are normally distributed in continuous time |
|
What is the implication of the first assumption behind Black-Scholes?
|
it is possible to put together a portfolio that provides the same return as the call at no cost
|
|
In Black-Scholes, what is C?
|
the price of the European call
|
|
In Black-Scholes, what is S?
|
the price of the underlying stock
|
|
In Black-Scholes, what is X?
|
the exercise price
|
|
In Black Scholes, what is r?
|
riskless interest rate
|
|
In Black-Scholes, what is sigma?
|
standard deviation of the underlying stock's return
|
|
In Black-Scholes, what is T?
|
time until the option expires
|
|
What time units must the T in B-S be expressed?
|
any, as long as r and sigma are expressed in the same units
|
|
In B-S, what is ln(S/X)?
|
the natural logarithm of the ratio of the stock price to the exercise price
|
|
In B-S, what is N(d)?
|
-the cumulative normal distribution function evaluated at d
-SO, if d is equal to 1.5, N(d) is the area under the normal distribution curve to the left of 1.5 standard deviations above the mean |
|
If you increase exercise price, value of the call ______
|
decreases
|
|
True or False: when volatility increases, probability of exercise increases
|
false
|
|
True or False: when you decrease time, call price always decreases
|
true
|
|
Why should you sell a call if stock price is going down?
|
it is going to be worth more
|
|
What are the 5 inputs needed to price options using Black-Scholes?
|
-stock price
-time to expiration -exercise price -risk-free interest rate -volatility of the underlying security |
|
What is the problem with needing the volatility of the underlying security for B-S?
|
we don't know the volatility, and can only estimate it
|
|
How sensitive to interest rates are option prices?
|
pretty insensitive
|
|
What do people use for the risk-free interest rate, in B-S?
|
the yield on a T-bill that matures about the time that the option expires
|
|
What are two ways to estimate volatility of the underlying security for B-S?
|
-use past returns to calculate volatility
-calculate standard deviation implied by one option and use it to price other options on the same stock that expire at the same time |
|
If the B-S model is correct, what can we use it to calculate?
|
the market's expectation of the stock's volatility
|
|
When do you know you have the standard deviation implied by the option prices?
|
When the Black-Scholes price equals the market price
|
|
When a company pays a dividend of $1, what happens to the stock price?
|
it falls by $1
|
|
Why, from the stockholders' standpoint, does the dividend not matter?
|
every dollar lost on the stock is matched by a dollar received in dividends
|
|
How large does a dividend have to be before it impacts the value of options significantly?
|
even small dividends have a huge impact on option values
|
|
What use is the put-call parity formula?
|
for European options, this formula can be used to get the value of a put before expiration
|
|
Why does put-call parity hold?
|
-arbitrage
|
|
At expiration, the value of a put must have the same value as a portfolio consisting of what three things?
|
-a call option with the same strike price and expiration date
-$X -a short position in a share of stock |
|
When is the only time you would exercise an exchange-traded option early?
|
right before a large dividend
|
|
What should you do if you own call options but think the stock is overpriced? (or if you just need the money)
|
-don't exercise
-sell it |
|
What should you do if you own employee options, and need the money?
|
-you can't sell them
-exercise them and sell the stock |
|
How good is B-S at valuing employee options?
|
-it overstates their value
-according to B-S, employees usually exercise their options too early |
|
What is worth more: executive options or exchange traded options? Why?
|
-exchange traded options
-execs may be forced to surrender or exercise early if they leave the company |
|
What are two reasons for talking about B-S when we are ultimately interested in the value of employee options?
|
-it is the model that is usually used to price options in financial statements
-it shows clearly how different factors affect option prices |
|
Why do B-S values for options in financial statements almost always overstate the option's values?
|
because of the likelihood of early exercise
|
|
When are employees most likely to exercise?
|
-3 months following vesting
-just before options are about to be cancelled -if stock price has increased in the past 15 days -if S/X is high -if stock is particularly volatile |
|
When are employees less likely to exercise?
|
if there is a long time to expiration
|
|
When are executives likely to exercise early?
|
-if they are risk averse
-if they have liquidity needs |
|
What is the relationship between option prices and time to exercise?
|
-concave
-option prices increase with time to exercise, but at a decreasing rate |
|
A four year option and a 10 year option are worth ______ than two 7 year options.
|
less
|
|
What's the best way to value executive options, considering the issues with early exercise?
|
calculate the value of options with different times to expiration and take a weighted average with the probability of exercise at different times for the weights
|
|
What are convertible bonds?
|
bonds the holder can exchange for common stock
|
|
When will convertible bondholders convert?
|
when the stock price has risen so much that the stock they are getting is worth more than the bond they are giving up
|
|
If you issue debt now, what happens in the future, when debt matures if the firm has more investments? If they do not?
|
-more investments: debt is retired; pay costs to issue more debt
-no more investments: debt is retired; take cash out of the firm, which is what you want |
|
If you issue equity now, what happens in the future, if the firm has more investments? If they do not?
|
-more investments: don't need to repay equity, so can fund investments from internal cf
-no more investments: generates cash not needed; managers may waste money |
|
If you issue convertible debt now, what happens in the future, when convertibles mature, if the firm has more investments? If they do not?
|
-more investments: stock is up; debt is converted to equity; no need to repay debt
-no more investments: stock price is low; debt retired; pay back bondholders and don't waste money |
|
Why is it dumb to issue convertibles because the yield is lower than on similar straight bonds?
|
-coupon payments are only part of the cost
-the other part is the potential dilution of equity that occurs when bonds are converted |
|
What are 3 convertible bond structures?
|
-exchangeable
-zero-coupon convertible -double zero or no-no convertible |
|
What is an exchangeable convertible bond?
|
-bond issued by one company that can be converted into shares of another company
-can monetize large stake held in another company |
|
What is a zero-coupon convertible?
|
-doesn't pay cash coupon
-issued at a discount to the face value -at maturity, if the bond isn't converted, the holder receives the full face value, which includes the issue price and accumulated interest |
|
What is a double zero or no-no convertible?
|
-zero coupon convertibles that are issued at face value
-bonds include a series of short-dated put options that allow the holder to sell the bond back to the issuer at par |
|
What are 4 common features of convertibles?
|
-call protection
-put feature -contingent conversion or co-co -contingent payment or co-pay |
|
What is call protection on a convertible?
|
-most convertibles are callable
-when a bond is called, holders have a short time to convert or accept a call price, usually about 5% above face value of the bond |
|
What is a hard call period?
|
time when a bond can't be called
|
|
What is a soft call period?
|
time when a bond can't be called unless the stock price exceeds a threshold price for a specified period
|
|
What is a make-whole provision?
|
forces the issuer to pay investors the present value of the remaining coupons if the bond is called during the soft call period
|
|
What is the put feature of a convertible?
|
-allows holder to put the bond back to issuer at a predetermined price
-creates floor value for bond |
|
What is a contingent conversion or co-co on a convertible?
|
-holder's right to convert triggered by specific event
|
|
What is the most common contingency for a co-co?
|
bond isn't convertible until share price has exceeded a certain average trading price for a set period
|
|
What is an advantage of a co-co, from the issuer's standpoint?
|
the shares into which the bond is convertible do not dilute EPS
|
|
What is a contingent payment, or co-pay, on a convertible?
|
-one or more of payments are contingent on stock price exceeding a certain level
-company is able to deduct interest payments that may not actually occur |
|
When do co-pays occur?
|
later in the life of the bond, after the hard call provision has expired
|
|
What happens, with a co-pay, if, at maturity, there are interest payments that haven't been made, but the company has received tax deductions for?
|
-may have to repay tax savings on payments not made
-no interest penalty for taking deductions that are later reversed |
|
What happens to recipients of 'phantom interest' with a co-pay?
|
-they may be taxed
-taxed at lower tax rate than issuing company |
|
What are the 3 situations at maturity of a convertible?
|
-firm is bankrupt and bondholders split the firm
-firm can pay off bondholders in full, but it isn't worth converting -firm is worth a lot and bondholders convert |
|
What happens when V<mB?
|
-bankruptcy
-V is firm value -m is number of bonds outstanding -B is par value |
|
In the case of V<mB, how much is each bond worth?
|
V/m
|
|
What happens when (yV/(ym+n))>B?
|
-firm is worth a lot and bondholders convert
-ym+n is total shares after converts -you get B if you don't convert (par value) -y is shares each bond is worth |
|
What happens when mB<V<{(ym+n)/y}B?
|
-bonds are worth the face value of $B
-firm value is too high for bankruptcy but too low for conversion -mB is the value at par -{(ym+n)/y}B is the value if you convert |
|
In the first two maturity situations, when the bond isn't converted, what is the value of the convertible bond?
|
same as the value of a straight bond with no conversion feature
|
|
In the third maturity situation, when the bondholder gives up face value of the bond for shares, what is the value of the convertible bond?
|
-it increased linearly with firm value
-similar to call option, except for dilution |
|
When V/n<X, what is the implication for a warrant?
|
out of the money
|
|
When V/n>X, what is the implication for a warrant?
|
in the money
|
|
When will warrants be exercised?
|
only if V/n>X
|
|
What happens to the value of the firm when warrants are exercised?
|
increases
|
|
With m warrants exercised, if each busy y shares at a price of X, by how much does the total value of the firm increase?
|
by ymX
|
|
How many shares are there, when warrants are exercised?
|
n+ym
|
|
How much is each share worth, after warrants are exercised?
|
(V+ymX)/(N+ym)
|
|
What is the per share cost of exercise for warrants?
|
$X
|
|
If V/n<X, what is the value of the warrant at expiration?
|
0
|
|
If V/n>X, what is the value of the warrant at expiration?
|
{[V/(n/y+m)]-[n/(n/y+m)]X}
|
|
What is the warrant's value, in terms of the call value (ALWAYS)?
|
n/(n/y+m) times the call value
|
|
The warrant's value today must be what?
|
n/(n/y+m) times the value of a call with the same exercise price and time to expiration
|
|
How is the value of the warrant obtained using B-S?
|
-replace the S in the B-S model by S+(m/n)W and multiplying the entire value by n/(n/y+m)
|
|
What is the standard deviation when you are valuing a warrant using B-S? Is it the standard deviation of the stock's return?
|
-no
-it is the standard deviation of the return of a portfolio of one share of stock and m/n warrants |
|
How do you get W, in valuing warrants using B-S? How do you know if you have it right?
|
-you have to guess
-if the value on the left hand side is the same as the value of W that you put into the right hand side, you have the right value of W |
|
What is a simple way to value convertible bonds?
|
calculate the value of a straight bond that matures at the same time, and add on the warrant portion
|
|
How is the exercise price of a convertible bond obtained?
|
divide the face value of the bond by the number of shares that the bond can be converted into
|
|
If dividends are sufficiently large, should you call bonds?
|
no
|
|
When dividends are small, what happens to conversion of bonds?
|
-you won't convert early
-shareholders will call and make you convert early |
|
What is the implication if you call a bond?
|
-bad news
-means you don't think dividends will be big enough |
|
When dividends are paid, what happens to the value of the firm? Warrant? Bond portion of the convertible?
|
-firm value decreases
-SO warrant value decreases -AND bond portion of convertible decreases |
|
Why don't owners of convertibles usually exercise early?
|
-you give up future interest payments
-you give up downside protection you have if the stock drops and you hold a senior security |
|
What proportion of convertible bonds are callable?
|
the majority
|
|
Forcing early conversion transfers wealth from whom to whom?
|
from bondholders to stockholders
|
|
When does early conversion not transfer wealth from bondholders to stockholders?
|
-when bondholders should convert anyway because dividends are high
-then it is in the stockholders' interest to avoid calling the bonds in hopes that 'sleeping bondholders' will not convert |
|
What are perks?
|
preferred stock that pays a higher dividend than the common and is automatically converted into common after a period of time
|
|
Perk Value =
|
common stock + PV of extra dividends - warrant with X equal to the cap
|
|
What is K?
|
cap price
|
|
Why, if stock performs poorly, is the perk holder be better off than the holder of a share of stock?
|
extra dividends
|
|
Why, if stock price is well above cap price, is the perk holder worse off than a holder of a share of stock?
|
they end up with fewer than one share of stock
|
|
Why are perks a good way to issue equity?
|
they don't signal that managers feel the stock is over-priced
|
|
If shareholders don't expect stock to perform well, would they rather issue shares or perks? Why?
|
-shares
-they don't have to pay out so much in dividends |
|
If shareholders expect stock price to rise, would they rather issue shares or perks? Why?
|
-perks
-their positions won't be diluted as much since fewer shares are issued |
|
How were conversion prices for floating priced convertibles set?
|
at a discount to the average of past stock prices in a look-back period
|
|
Who generally issues floating priced convertibles, and how?
|
-small firms and high-tech companies
-privately |
|
What is an example of last resort financing?
|
floating priced convertibles
|
|
What is a death spiral convertible?
|
floating priced convertible
|
|
Why do floating priced convertibles seem ideal for a company that wants to issue stock, but feels the stock is currently underpriced?
|
-shares will only be sold at a later date when the market has had time to figure out the real value of the stock
-bondholders are protected on teh downside |
|
What is certain and uncertain in floating priced convertibles?
|
-certain: company knows how much cash they will receive and bond buyers know the value of the stock they will receive
-uncertain: proportion of the firm that bondholders will get |
|
If a project's NPV is $1m, and the company takes it on, what happens to the value of the firm?
|
increases by $1m
|
|
What is the basic rule for using NPV?
|
calculate present values of all incremental cash flows from the investment
|
|
What are the two problems with using accounting profits instead of cash flows, in calculating NPV?
|
-revenues are credited when earned, not when cash is received
-depreciation is subtracted from revenues, when there has been no cash expenditure |
|
What are 7 considerations in using NPV to evaluate investments?
|
-use incremental cf
-ignore sunk costs -consider incidental effects on remainder of business -don't ignore working capital needs -be careful about how overhead is calculated -opportunity gains must be included in incremental cf -opportunity costs must be subtracted from incremental cf of a project |
|
What are 5 options models useful in capital budgeting?
|
-Black-Scholes
-Perpetual American Call Option -perpetual american put option to abandon a project -option to costlessly stop producing and restart -option to switch to a different input |
|
When should B-S be used in capital budgeting?
|
-options only exercised at one time
-timing is not a consideration |
|
When should the perpetual american call option be used in capital budgeting?
|
-options to purchase that don't expire
-by delaying exercise you give up a cf |
|
When should the perpetual american put option to abandon a project be used in capital budgeting?
|
-a project that pays of P and has costs of C
-it costs K to abandon the project -the option doesn't expire |
|
When should the option to costlessly stop producing and restart be used in capital budgeting?
|
-a perpetual option to start and stop producing
-if production halts, resumptions are costless |
|
When should the option to switch to a different input be used in capital budgeting?
|
-a perpetual option to switch from one input to another, depending on which one is cheaper
-switching is costless |
|
In using B-S for capital budgeting, what is S?
|
whatever is uncertain
|
|
When is it particularly worthwhile to obtain information?
|
-when X is low (don't need a lot to be worthwhile)
-when there's a ton of uncertainty |
|
What is the NPV rule?
|
take a project with positive NPV after subtracting out opportunity costs
|
|
When revenue foregone = interest, what decision do we make regarding the project?
|
take on the project
|
|
What happens to the discounted value of future cf when the economy is doing particularly well?
|
increases
|
|
As the value of the project today goes to zero, what happens to the value of the right to take the project?
|
it goes to zero
|
|
What is the project value V*?
|
-the value at which you are indifferent between exercising the option and holding it
-the value at which you make the investment and take on the project |
|
What happens to the project value at which you exercise as volatility increases?
|
increases with volatility
|
|
Why are you more reluctant to exercise the option with greater volatility?
|
-the greater the volatility, the greater the value of the option you are giving up
|
|
If yield is low, in what form is most of the return on a project? What is the implication?
|
-in the form of appreciation in the value of the project
-costs very little to wait to exercise the option and the option is valuable |
|
If yield is high, in what form is most of the return on a project? What is the implication?
|
-in the form of a cash flow
-by waiting to take the investment we miss cf, so we exercise the option and make the investment when the project value is relatively low |
|
If exercise price doubles, does the value of the real call option fall to half its previous value?
|
no
|
|
When required investment doubles, what happens to the project value the triggers investment?
|
also doubles
|
|
If an entrepreneur is going public to take an investment, what is the question of when to go public equivalent to?
|
the question of when to take an investment
|
|
Firms with volatile projects should wait more/less before going public?
|
more
|
|
With regards to the option to abandon production costlessly and restart, if P<C, from where does the value of the project come?
|
solely the result of the option to restart production.
|
|
With regards to the option to abandon production costlessly and restart, if P>C, from where does the value of the project come?
|
-the option to stop producing
-PLUS the present value of the revenues -MINUS the present value of the costs |
|
When you can stop and start production, the value of a project is ______ than the discounted value of cash flows based on average revenues and costs.
|
far greater
|
|
What are peak load power plants' production model a good example of?
|
-the option to stop producing and restart
-they are only operated in periods of peak demand when prices are high -they shut down when prices decline |
|
3 guidelines for thinking about real options
|
-options are valuable; even options that are unlikely to be exercised can be very valuable
-the greater the uncertainty, the more valuable are options -never exercise early unless you are giving up cash by holding on to your option |
|
What are 3 derivatives that can be used to hedge?
|
-futures or forward contracts
-swaps -options |
|
What is a future or forward contract?
|
we contract to buy or sell a specified amount of a specified commodity or assets at a set price at a future date
|
|
What is a swap?
|
we contract to swap one currency, commodity, or cash flow for another at a prearranged price or rate
-it is identical to a whole series of futures contracts |
|
On what do options sell?
|
-currencies
-many kinds of futures contracts |
|
True or false: in a world of perfect markets and costless information, there is no need for hedging.
|
true
|
|
What are 4 market imperfections that make hedging make sense?
|
-corporate taxes
-bankruptcy costs -managerial risk aversion -costly external financing |
|
Does reducing volatility of earnings reduce expected amount paid in taxes?
|
-only if corporate taxes are a convex function of income, meaning if taxes increase at an increasing rate with income
-NOT if they are linear |
|
What makes tax rates convex?
|
-there are limits on how many years losses can be carried forward or carried back
-this implies that the effective tax rate on losses is less than the effective rate on gains |
|
In what situation would tax rates be linear?
|
when we are shifting income from states where we have a lot of income and are in a high tax bracket to states when our income is low and we are in a low tax bracket
|
|
True or false: hedging can allow firms to issue far more debt than they otherwise could. Why?
|
-true
-because it reduces the likelihood of bankruptcy and incurring bankruptcy costs |
|
How are stockholders compensated for the transfer of assets to bondholders in financial distress?
|
-by receiving a higher price when they sell the debt in the first place
-this is NOT a bankruptcy cost |
|
What are two reasons external funding may be more costly than internal funds?
|
-fees to lawyers, i-bankers, and auditors (especially high for equity offerings)
-information asymmetries between issuing firm and investors (costly if the firm's stock is correctly priced before the offering) |
|
On what does the decision depend regarding how a firm should hedge to minimize external financing?
|
the correlation between the variable to be hedged and the firm's investment opportunities
|
|
When the amount required for investment is uncorrelated with the variable to hedge, should you hedge?
|
yes - it is best to eliminate variability in total cash flows
|
|
In the case where cash flows and investment demand are positively correlated, should you hedge?
|
-you should use derivatives to increase the volatility of cash flows if cash needed for investments is sufficiently variable
-partly hedge |
|
When cash flows and investment opportunities are negatively correlated, should you hedge?
|
-you don't eliminate or reduce variability of cf by hedging
-you just reverse states in which the firm has high and low cf |
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If investment opportunities are linear in the variable to be hedged, what instruments should be used to hedge?
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-futures or forward contracts
-swaps |
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What are 4 derivative risks?
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-market risk
-operational risk -counterparty or credit risk -legal risk |
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What is market risk, with regards to derivatives?
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-the risk of market prices moving against you in your derivative position
-if you are hedging, the losses on your derivative positions should be offset by gains from the company's businesss |
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What is operational risk, with regards to derivatives?
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risks associated with human error and poor control systems
|
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What are two lessons learned from Barings?
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-companies who are using derivatives need adequate safeguards and controls
-top management needs to be aware of the activities of their derivative traders and to exercise control of these activities |
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What were 6 warning signs of Leeson's bad behavior?
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-his trading activity was supposed to be risk-free, but he was claiming huge trading profits
-he requested hundreds of millions of pounds to meet margin requirements -he claimed requested funds were to meet customer margin calls, but never provided info on the accounts -SIMEX rules prohibit exchange members from meeting margin calls for customers -outside auditors discovered discrepancies in his accounts -there were wide-spread rumors that the company was experiencing large losses |
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What is a stack and roll hedge?
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buying short-term contracts and rolling them over as they mature
|
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If you are hedging against oil price increases and prices instead fall, what happens?
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you lose money on your derivative positions at the same time that your fixed price contracts become more valuable
|
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What does it mean to say that credit rating agencies are exempt from Reg FD?
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management can share info with them that would effectively be inside info
|
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Do ratings changes reveal info that the market didn't know?
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-yes
-they do have an impact on stock prices |
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What kind of debt can have shelf registration with the SEC?
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only investment grade debt
|
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What is the main business of credit rating agencies?
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granting regulatory licenses
|
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What is the tranche with the lowest priority?
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the equity tranche
|
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For a firm operating in a competitive market without externalities, more profit means what?
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greater benefits to society
|
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Michael Jensen suggests option contracts can hurt shareholders. What is his proposed solution?
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use options in which the exercise price is adjusted for the cost of capital and dividends
|
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How accurate is B-S in valuing executive options. Why?
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-overstates
-they tend to exercise early |
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What are three advantages of options as compensation?
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-save cash for the firm
-option holders make money if stock price rises and lose money if it falls -options can help retain employees |
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Corporate risk management can make sense if:
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it decreases the need for external financing
|
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What are the two reasons general partners in private equity funds are motivated to provide a return on the limited partners' investment?
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-the general partner will start new funds in the future
-the general partner's compensation is tied directly to the return of the limited partners |
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In what instance will a firm avoid calling a convertible bond?
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when the common pays large dividends
|
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How do you calculate values of employee stock options?
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calculate B-S value for different exercise times and use the distribution of times until exercise to calculate an expected value of the options
|
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What are 4 ways a leveraged buyout by a private equity fund creates value?
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-provides better incentive for managers
-sets up a board of directors that provides better oversight -reduces taxes -forces companies to focus on the intermediate term |
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What can an implied standard deviation estimate be used for?
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-to price other options on the same underlying stock - to see if options are mispriced relative to one another
-can also be compared with historic volatilities to see if options have high or low prices relative to historical norms |
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What does it mean to say that the VIX index of the CBOE has been at record highs in recent days?
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-VIX (or fear index) is weighted avg. of implied standard deviations of S&P 500 options with one month to expiration
-high VIX means high uncertainty about market's course over next 30 days |
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How does giving options affect managers' incentive to take risky projects? Exceptions?
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-option values increase with volatility
-giving options to managers increases incentives to take risky projects -exception: if managers have a lot of deep in the money options, they may be concerned about protecting the value of their options, making them more risk averse |