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10 Cards in this Set

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OAS

> extra spread added to TSY notes in a binomial tree


> for corporate credit and liquidity risk


> not for option risk (dealt with cash flow in the tree)




for call options: OAS = z-spread - spread for call option (or yield required)


for put options: OAS = z-spread + yield forgone for having the put option

Duration and Convexity

Duration = (P- - P+) / (2 x P0 x ch in r)


Convexity = (P- + P+ - 2P0) / [P0 x (ch in r)^2]




%ch in price = - (Duration x ch in Y) + 0.5 [Convexity x (ch in Y)^2]

Conversion value

Underlying stock price x conversion ratio

Market conversion price

convertible bond price / conversion ratio

Market conversion premium per share

market conversion price - underlying share price

Market conversion premium ratio

market conversion premium per share / underling share price

Value of convertible bond

value of straight + value of equity call option

Effect of stock price movement on convertible bond

fall in stock price = behave like straight bond


rise in stock price = conversion more likely to happen; behave like stock

Effect of yield volatility to OAS

putable bond = decrease in volatility leads to decrease in value for putable bond; computed OAS decreases (OAS needed to force model price to be equal to market price will be lower)

Theories of term structure of interest rates

1. Unbiased/Pure expectations theory: fwd rates unbiased predictor of spot rates


2. Local expectations theory: same as no.1 but only for short term; premiums exist in LT


3. Liquidity preference: include a liquidity premium for interest rate risk; fwd rates upwardly biased estimates of future rates


4. Segmented markets: preference of borrowers and lenders determine yield (supply and demand), not liquidity or expected spot rates


5. Preferred habitat: fwd rates = spot rates + premium; but premium not directly related to maturity but from supply and demand for funds in a maturity range