GEN COMBO LOOSELEAF INVESTMENTS; CONNECT ACCESS CARD
11th Edition
ISBN: 9781260201550
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.
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)^T
The premium on a put option is primarily a function of the difference in spot price S relative to the strike price X, the time until maturity T, and the
volatility of the currency o.
P = f(S-X, T, o)
For each characteristic of a put option, use the table to indicate whether that would lead to a higher put option premium or a lower put option
premium (all else equal).
Characteristic
A lower spot price relative to the strike price
A shorter time before expiration
A higher level of volatility for the currency
Higher Put Option Premium Lower Put Option Premium
When using a put option to hedge receivables in an international currency, a U.S. based MNC can lock in the
receive.
minimum
maximum
amount of dollars it will
Chapter 22 Solutions
GEN COMBO LOOSELEAF INVESTMENTS; CONNECT ACCESS CARD
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- Consider a forward contract on a stock that pays dividends at specific times ti, where 0 < t1 < t2 < ... < tn < T. Suppose that the dividend is a fixed amount: Di at fixed times ti. Show that in this case, the forward contract price is given byarrow_forwardThe premium on a call option is primarily a function of the difference in spot price S relative to the strike price X, the length of time until expiration T, and the volatility of the currency o. C = f(S-X, T, o) For each characteristic of a call option, use the table to indicate whether that would lead to a higher call option premium or a low call option premium (all else equal). Characteristic A lower spot price relative to the strike price A shorter time before expiration A higher level of volatility for the currency Higher Call Option Premium O Lower Call Option Premium When using a call option to hedge payables in an international currency, a U.S. based MNC can lock in the to obtain the needed foreign currency. maximum minimum amount of dollars neededarrow_forwardDescribe the five variables (Assets price, Strick price or Exercise Price, Risk- Free- Rate, Time to Expiration, Volatility) that Black-Scholes-Merton Formula uses to calculate the price of call and put options. Explain how the change in these variables (Assets price, Strick price or Exercise Price, Risk- Free- Rate, Time to Expiration, Volatility) affects the price of the option.arrow_forward
- We showed in the text that the value of a call option increases with the volatility of the stock. Is this also true of put option values? Use the put-call parity theorem as well as a numerical example to prove your answer.arrow_forwarda)define and explain convenience yield, and describe how it is incorporated into the futures pricing model. b)discuss the debate on whether risk premium should be included in the pricing of futures and forward contracts. c) define backwardation, normal backwardation, contango, and normal contango. d) discuss the relationship between the prices of puts, calls, and forward/futures contracts on the same underlying asset using the put-call-forward/futures parity. e) discuss the boundary conditions on the prices of American and European call option contracts on futures.arrow_forwardIn 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 pricearrow_forward
- Consider 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_forwardDefine the terms, or give short explanations. -futures contract/option -hedge -hedger -hybrid -law of one price -market efficiencyarrow_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_forward
- . Answer the following in a couple of sentences. d) Compare and contrast options with futures e) Compare swaps with forwardsarrow_forwardExplain the call-put parity relation and how it is justified. Black-Scholes-Merton formula uses five variables to calculate the price of call and put options. Explain each of these variables incorporated in Black-Scholes-Merton formula. Show how the change in these variables affects the price of option. Show how these variables are grouped to show put-call parity relationship and suggest the condition in which there is an arbitrage opportunity. (Explain each of the things in detail with an appropriate examples)arrow_forwardAn up-and-out barrier call option with barrier B, strike price K and exercise time T has payoff H(T) = (S(T) − K) + if max {S(t)| 0 ≤ t ≤ T} < B, 0 otherwise, that is, the payoff is that of a call option if the underlying stock price does not reach or exceed the barrier B at any time up to and including time T, and 0 otherwise. For an up-and-out barrier call option with barrier B = 140, strike price K = 90 and exercise time T = 3 in the binomial model with parameters U = 0.2, D = −0.1, R = 0.1 and S(0) = 100 compute the following. (a) The option price at time 0;arrow_forward
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