INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 22, Problem 11PS
Summary Introduction
To calculate: Call price will be equal to the put price if X=F, use parity conditions to guide.
Introduction: There is a future contract having no dividend payment, a call option and a trade option. The maturity period is T, the future price is F and the exercise price is X.
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Consider a stock that pays no dividends on which a futurescontract, a call option, and a put option trade. The maturity date for all three contracts is T, the strikeprice of both the put and the call is K, and the futures price is F. Prove that if K = F, then the price ofthe call option equals the price of the put option.
In the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike price
Because of the put-call parity relationship, under equilibrium conditions a put option on a stock must sell at exactly the same price as a call option on the stock, provided the strike prices for the put and call are the same.
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Chapter 22 Solutions
INVESTMENTS (LOOSELEAF) W/CONNECT
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- Use the put-call parity relationship to demonstrate that an at-the-money call option on a nondividend-paying stock must cost more than an at-the-money put option. Show that the prices of the put and call will be equal if So = (1 + r)^Tarrow_forwardConsider the following two scenarios whereby the cost-of-carry model is violated. You are required to select appropriate missing words and fill in question 1. a. long b. spot c. over priced d. short arbitrage e. under priced f. long arbitrage g. futures h. short Question 1 a. If ft >S0 (1 + rf - d)^t, then the( ) is ( )relative to ( ) or equivalently, the quoted futures price is higher than what it should be. Thus, the correct arbitrage strategy should be: ( ) the futures contract and ( )the spot market. This strategy is also known as ( ). b. If ft <S0 (1 + rf - d)^t, then the( ) is ( )relative to ( ) or equivalently, the quoted futures price is lower than what it should be. Thus, the correct arbitrage strategy should be: ( ) the futures contract and ( )the spot market. This strategy is also known as ( ).arrow_forwardIf a stock's price is above the strike price of a call option written on the stock, then the exercise value is equal to the stock price minus the strike price. If the stock price is below the strike price, the exercise value of the call option is zero. True or False?arrow_forward
- Both call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.arrow_forwardAssume that F, and Fy are the futures prices of two contracts on the same non-dividend-paying investment asset, with times to maturity T, and Tz, Tz > T1. Prove that therelationship between the two prices must be see imagearrow_forwardAt time t = 0, a trader takes a long position in a futures contract on stock i that willexpire at time T. the present value of this contract to the long is given by: See Image.Assume no-arbitrage pricing. Show analytically that if the return from stock i is positively correlated with the overall return on the stock market, then the futures market must be in backwardation at time t = 0.arrow_forward
- Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.arrow_forwardConsider a call and a put options with the same strike price and time to expiry. Given that the strike price is exactly equals to the forward price, then: A. Put and call have same premium B. The premium of the put is equal to the forward price C. The premium of the put is equal to the premium of the call plus the present value of the strike D. The premium of the call is equal to the forward pricearrow_forwardBoth call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.arrow_forward
- If interest rate and stock price move in the same direction, then a futures price implied from spot-futures parity favorsarrow_forwardWhen the price of the underlying financial instrument exceeds the exercise [strike] price of a call option, the option is said to be: A. ripe for a put.B. out of the running.C. in the money.D. dead on the money.arrow_forwardAt time t = 0, a trader takes a long position in a futures contract on stock i that willexpire at time T. the present value of this contract to the long is given by: See Image. Assume no-arbitrage price, briefly descthat if the return from stock i is positively correlated with the overall return on the stock market, then the futures market must be in backwardation at time t = 0.arrow_forward
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