You have been asked to value a Arithmetic Lookback option which expires in six months time. At the end of the six months the buyer is paid the arithmetic mean of the underlying stock over the contract period. Using the compressed stock tree presented in Figure 1 and assuming an annual interest rate of 4.5% determine the fair price of the Arithmetic Lookback option. Why are Lookback options considered to be expensive? 120 138 ष्ट 158.7 104.4 120 90.8 182.5

You have been asked to value a Arithmetic Lookback option which expires in six months time. At the end of the six months the buyer is paid the arithmetic mean of the underlying stock over the contract period. Using the compressed stock tree presented in Figure 1 and assuming an annual interest rate of 4.5% determine the fair price of the Arithmetic Lookback option. Why are Lookback options considered to be expensive? 120 138 ष्ट 158.7 104.4 120 90.8 182.5

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer
Suppose that a June call option to buy a share for $65 costs $3.5 and is held until June. Under what circumstances will the holder of the option make profit Under what circumstances will the option be exercised? Draw a diagram showing how the profit on a long position in the option depends on the stock price at the maturity of the option.
Give typing answer with explanation and conclusion to all parts Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900
Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
Using the binomial call option model to find the current value of a call option with a $25 exercise price on a stock currently priced at $26. Assume the option expires at the end of two periods, the riskless interest rate is ½ percent per period. What are the hedge ratios?
a. A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? b. What should the futures price be if the maturity of the contract is 2 years? c. What if the interest rate is 9% and the maturity of the contract is 2 years? Complete this question by entering your answers in the tabs below. Required A Required B Required C A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? Note: Round your answer to 2 decimal places. Futures price
4. Consider a call option on the S&R index with 6 months to expiration and a strike price of $1000. Suppose that the effective rate compounded semiannually is 2% and the premium for this call is $93.81. (a) Draw the payoff and profit graphs for the call option holder. (b) If the S&R index price at expiration is $1100, will the owner exercise this option? What is the profit? (c) If the S&R index price at expiration is $900, will the owner exercise this option? What is the profit?
a) You've entered into a long forward. The forward has 1.25 years to expiration. The continuouslycompounded risk-free rate of interest is 3.5%. The forward price is $83.50. The underlying assetprice is $81.70. Show whether the forward contract is your asset or liability. b)Suppose that both a call option and a put option have been written on a stock with an exerciseprice of $40. The current stock price is $42, and the call and put premiums are $3 and $0.75,respectively. Draw fully labelled profit diagrams of a long call and a short put. c)For the same call and put options as in question (a), calculate the profit to positions of both theshort call and the long put with an expiration day stock price of $43.
A. What is the price of a call option with a strike of $80 and a maturity of 2.5 years? The underlying asset is currently trading at $75. The risk-free rate is 6% and the volatility of the underlying asset is 64% B. What is the price of a put option with an identical strike price? C. Calculate the delta, theta, and vega of the call option. Express theta per month and verga per 1% increase in volatility. D. After 5 months the price has gone up by $10 and the volatility by 10%. Using delta, theta, and vega that you have calculated, what is the total change in value of the option?
Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)
Suppose a put option is traded at $3. The underlying stock of the option is traded at $105 per share at the same time. The option expires in 3 months and has a strike price of $104. What is the intrinsic value of the option? Is the option in the money, at the money, or out of the money?
Give typing answer with explanation and conclusion A call option has a strike price of $11, and a time to expiration of 0.8 in years. If the stock is trading for $20, N(d1) = 0.5, N(d2) = 0.12, and the risk free rate is 5.40%, what is the value of the call option?

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