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35 Cards in this Set

  • Front
  • Back
Horizon risk
increasing the length of the path reduces the arbitrageur's return
Buy-in risk
if arbitrageur is unable to maintain his short position he will be forced to terminate the trade.



When shares available for shorting are most scarce, brokers cannot maintain their clients’ short positions no matter what interest rate the investor is willing to pay. This situation, which arises when owners of the stock demand that their loaned-out shares be returned, is often referred to as being “bought-in.”



The possibility of being bought-in at an unattractive price provides a disincentive for arbitrageurs to take a large position and represents a substantial friction to executing the arbitrage trade.



Overall: returns to a specialized arbitrageur would be roughly 50% higher if the path to termination was smooth
Fundamental risk
The risk that mispricing may become more extreme before prices get corrected
Noise trader risk
Average bullishness of noise traders leads to an increase in the price of the risky asset
If the noise traders are more/less bullish than on average they bid up/down the price
Increased volatility in the market lowers the price of the risky asset today and increases the expected return tomorrow
Fundamentally unrelated securities subject to the same noise trader risk move together
Arbitrage risk: Arbitrageur is risk averse and uncertain if riskless profit can be realized
Arbitrageurs face the risk that noise traders beliefs become more extreme before prices revert to the mean
In effect it is a risk about fundamental value of an asset
Prospect utility function
Utility function is defined in terms of deviation from reference point
Risk-averse (concave) in gains; risk-seeking (convex) in losses
Sensitivity (steepness) is higher in domain losses
Decision weights are not true probabilities
Underweighting of middle range probabilities
Overweighting extreme probabilities
narrow framing
people tend to evaluate individual decisions separately from other portions of their wealth
dynamic aggregation
Simple repetitions of the same outcome are unattractive if evaluated one at a time
When investors are loss averse, they will more willing to take risks if they evaluate their performance (or have their performance evaluated) infrequently
Playing the same gamble multiple amount of times is perceived as less risky!
Briefly describe the nature of joint hypothesis problem in the context of evaluating market efficiency.
In order to claim that the price of security differs from its fundamental value one needs a proper asset pricing model
Fama (1970): any test of mispricing is therefore a joint test of mispricing and of an asset pricing model
Is it that security is mispriced?
Or that your model is wrong?
One of the asset pricing puzzles is excess volatility puzzle. Briefly describe what this puzzle is about. How does behavioral finance explain this anomaly? Provide intuition.
After run-up in stock prices investors are less risk-averse since those gains will cushion any subsequent loss. Since they are less risk-averse they are more inclined to keep more stocks in their portfolios which pushes stock prices up.
After a drop in stock prices investors are more risk-averse and wary of further losses. After the value of their financial portfolio decreased recently investors are unwilling to hold risky securities in their portfolios and have to be compensated extra for doing this. This puts a downward pressure on stock prices.
After a big loss in the stock market investor can experience a sense of regret over his decision to invest in stocks; he may interpret his loss as a sign that he is a second-rate investor; painful blow to ego; humiliation in front of friends and family etc
We achieve higher stock volatility of stock returns than supported by fundamentals of the stock market/companies as a result of time-changing preferences of investors towards holding stocks.
Present stylized facts describing a closed-end fund puzzle. Provide brief explanation of the puzzle from the behavioral viewpoint (noise trading risk). (Make sure that your answer does not go beyond the space provided).
stylized fact is a simplified presentation of an empirical finding.[1] A stylized fact is often a broad generalization that summarizes some complicated statistical calculations, which although essentially true may have inaccuracies in the detail.

A prominent example of a stylized fact is: "Education significantly raises lifetime income."
Limits to arbitrage
What do we mean by this:

1. Price of security does not reflect its fundamental value

2. This mispricing is not corrected within short period of time
negative stub
market value of the parent is less than market value of parent’s ownership stake in a publicly traded subsidiary
Where do negative stubs come from?
-Equity carve-outs (3Com/Palm)
-Acquisitions of stakes in publicly listed companies
What happens when Short-selling not allowed?
Optimists are there, but pessimists can not make their opinion count
The price is biased upwards
margin risk
If the arbitrageur faces a margin call, he will be forced to post additional collateral or partially liquidate
How does a combination of constraints on short-selling and limited horizon by arbitrageurs lead to persistent deviation from fundamentals?
-1 type of risk: fundamental
-3 ingredients:
1. Something that pushes the prices away from their intrinsic values

2. Something that prevents arbitragers from correcting the price on the spot



3. Something that prevents arbitragers from taking large long-term positions
What pushes prices away from their intrinsic values?
Systematic noise (correlated mistakes by noise traders)
What prevents arbitragers from correcting the price on the spot?
Inelastic suppy of risky asset (limited ability to short = fixed/low supply)
What prevents arbitragers from taking large long-term positions?
Short horizon of arbitrageurs (fear of liquidation at a loss)
What is Neoclassical Asset pricing (Cochrane)?
Investor must decide how much to save and how much to consume and what portfolio of assets to hold
Investors care only about wealth, but consume out of wealth and derive utility from consumption (increasing in wealth at a progressively lower rate)
Financial assets help investors to optimize their consumption over time
If investor is wealthy today, but anticipates a low income tomorrow she can consume part of its wealth today, invest the rest in financial asset
In the future she can liquidate financial asset and spend the proceeds to increase its future consumption
What are earlier rational explanations of the CEF puzzle?
-Taxes
-Assets illiquidity
-Agency costs
What is the CEF puzzle?
Why do CEFs have the pricing pattern of premium, then discount, that correlates with small stocks?
What is the behavioral explanation of the CEF puzzle?
-2 types of investors: rational & noise trader
-both trade according to different beliefs
-assets are risky & all investors are risk averse
-equilibrium prices reflect both opinions
What is the new rational response to the CEF puzzle?
closed-end fund discount is not related to a systematic risk (investor sentiment as a market-wide phenomenon)
What does rational finance say about managers?
-at the start (IPO) there is uncertainty about managerial ability
-bad managers stay while good managers leave
Horizon risk is best described as
arbitrager is uncertain over the time it would take for the mispricing to correct itself
Buy-in risk is best described as
arbitrager is unable to maintain his short position due to recall of borrowed shares by a broker and is forced to terminate the trade
Fundamental risk is best described as
arbitrager is unable to maintain both sides of his position as the link between parent and subsidiary is broken (e.g. delisting of parent company, acquisition of the subsidiary)
Noise Trader Risk of arbitrager is best described by
b) future trading activity of some investors is unpredictable
e) some investors trade not on information, but on psychological biases
f) judgment errors of some investors are correlated
3. Prospect utility function is best described by (3 points) (choose as many answers as you find necessary to provide the complete answer):
a) people use decision weights, rather than true probabilities when estimating expected utility value of a risky outcome
c) people evaluate their well-being in terms of gains and losses to some reference point
g) people are risk-averse in the area of gains and risk-seeking in the area of losses
4. Mental accounting is a combination of narrow framing and dynamic aggregation. Narrow framing is best described by (1 point)
d) people evaluate risky gambles/decisions in isolation rather then estimating their effect on the overall well-being
What are the 4 pieces to the CEF puzzle?
1) Start at premium (10%)
2) Move to discount (10%)
3) Wide fluctuations of discounts over time
4) Discounts shrink at termination
What are the assumptions to the behavioral explanation of the CEF puzzle?
1) Short horizons for rational investors (care about resale value)
2) Noise traders are random & unpredictable (additional risk for rational investors who resell)
Why can't a rational arbitrageur buy
the fund selling at a discount and sell short its portfolio?
1) The CEF could change its portfolio, which may be difficult for the arbitrageur to copy
2) The hedge of the short sale is not costless
3) This is not pure arbitrage unless there is an infinite time horizon & no forced liquidation
What is the problem with an arbitrageur who takes over a fund and sells its assets at NAV?
Shareholders will not tender their shares to the bidder unless they receive NAV, which would leave no profit for the arbitrageur

Managers & regulation also present major hurdles for the bidder