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?

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?

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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Suppose you buy a 100-strike call at a premium of $19.46, sell a 120-strikecall at a premium of $11.26, sell a 100-strike put at a premium of $5.45,and buy a 120-strike put at a premium of $15.68. Assume effective annualrisk-free interest rate of 8.5% and the expiration date of the options is oneyear.(a) Verify that there is no price risk in this transaction.(b) What is the initial cost of the position?(c) What is the value of the position at expiration?
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
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
Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.
Suppose you buy one SPX call option contract with a strike of 2200. At maturity, the S&P 500 index is at 2218. What is your net gain or loss if the premium you paid was $14? (Input the amount as a positive value.)
Suppose that, in each period, the cost of a security either goes up by a factor of 2 or goes down by a factor of 1/2 (i.e. u=2, d=1/2). If the initial price of the security is 100, determine the no-arbitrage cost of a call option to purchase the security at the end of two periods for a price of 150.
Using the Black-Scholes model find the premium on a call option with an exercise price of $50 on a share currently priced at $40. Assume the riskless rate of 1% per annum and the option has two years to expiration. The risk of the stock is measured by a σ value of 0.15. Decompose the premium into intrinsic value and time value? By how much is the call option priced above minimum value? Repeat the exercise for a current share price of $60.
The speculator buys one put option at a strike price of $70/barrel and expiry date October 2021 for a premium of $1.20/barrel. Consider the following expected payoff chart for buying a put option. What are the names of point A and B? What is the exact value of A? What is the exact value B?
You have the following data on call prices covering the same asset with the same expiration date. Strike Price. Call Option Price $40 -----------$10.50 $45-------------$6.50 $50-------------$3.00 a)Suppose an investor purchases one option with X = $40 and one with X = $50, but sells two options with X = $45. Assuming no transaction costs, in what range of asset prices does the investor make a positive net profit? b)Based on the above strategy, what is the investor’s maximum potential dollar profit and maximum potential dollar loss
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 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.
Question 2. 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 he expensive? 182.5 158.7 138 138 120 120 104.4 104.4 90.8 79 Figure 1: Compressed stock tree

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