Consider a non-paying dividend stock sells for 150. George wants to sell his stock in one year for a fixed price of 175. The annual effective risk-free interest rate is 4%. For the hedging strategy, and by using European put and/or call options with same strike price 175, George needs to protect his portfolio by

Consider a non-paying dividend stock sells for 150. George wants to sell his stock in one year for a fixed price of 175. The annual effective risk-free interest rate is 4%. For the hedging strategy, and by using European put and/or call options with same strike price 175, George needs to protect his portfolio by

Name: Consider a non-paying dividend stocksells for 150. George wants to se
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Description: Consider a non-paying dividend stocksells for 150. George wants to sell hisstock in one year for a fixed price of175. The annual effective risk-freeinterest rate is 4%. For the hedgingstrategy, and by using European putand/or call options with same

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter12: The Cost Of Capital

Section: Chapter Questions

Problem 22P

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You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $100 at year-end. XYZ currently sells for $100. Over the next year the stock price will increase by 10% or decrease by 10%. The T-bill rate is 5%. Unfortunately, no put options are traded on XYZ Co.a. Suppose the desired put option were traded. How much would it cost to purchase?b. What would have been the cost of the protective put portfolio?c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 100? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put.
Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $99.00 and expires in 85 days. The current price of Up stock is $122.83, and the stock has a standard deviation of 35% per year. The risk-free interest rate is 6.95% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note:Make sure to round all intermediate calculations to at least five decimal places.)
Consider a European put and a European call option which are both written on a non-dividend paying stock, have the same strike price K = £80 and expire in T = 2 months. These options are trading for p = £21 and c = £30.80, respectively. The underlying stock price is S0 = £90. The continuously compounded risk-free rate of interest is r = 10% per annum. What is the present value of the arbitrage profit? Please explain your answer and show your workings. In your response, please show all cash flows (both today and at expiration) and explain why this is an arbitrage (i.e. risk-less) profit.
You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $100 at year-end. XYZ currently sells for $100. Over the next year, the stock price will either increase by 10% or decrease by 10%. The T-bill rate is 5%. Unfortunately, no put options are traded on XYZ Co. (LO 16-5) a. Suppose the desired put option were traded. How much would it cost to purchase? b. What would have been the cost of the protective put portfolio? c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X 5 $100? Show that the payoff to this portfolio and the cost of establishing the portfolio matches that of the desired protective put.
Consider a two-period binomial model for the stock price with both periods of length one year.Let the initial stock price be S(0) =GH¢100 and assume that the stock pays no dividends.Let the up and down factors be u = 1.25 and d = 0.75, respectively. Let the continuouslycompounded interest rate be r = 0.05 per annum. Oliver is interested in purchasing a chooseroption with the provision that he can choose if the option is a put or a call after one year. Thestrike for this option is GH¢100 and the expiry date is two years. Find the price of the chooseroption.
One of the categories of options available to investors and speculators is LEPOs. Assuming 7.00 per cent margin, what would be the percentage return and dollar profit to an investor who purchased one LEPO (for 1000 shares) for a premium of $26 220 and later closed out the position when the LEPO premium was $28 430?
In an efficient market, a one-year call option on stock S with K = $25 is traded at$7.06, the current stock price S0 = $28.5, the expected market return is 7.5% and the T-Bill yield is 4%. You are about to purchase a one-year put option on the same stock with K = $26, someone offered it to you at a price of $3.6. Should you buy it?
A non-dividend-paying stock, currently priced at GH¢125 per share, can either go up by GH¢25or down GH¢25 in a year. Consider a one-year European call option with a strike price ofGH¢135. The continuously-compounded risk-free interest rate is 8%. Use a one-period binomialmodel to determine the current price of the call option.
You observe that a non-dividend paying stock currently trades for ₺150 on Borsa Istanbul. The annual standard deviation of its returns is expected to be 41% per year over the next year and the continuously compounded risk-free rate of interest is flat at 18% per year over all investment horizons. Compute the theoretical price of a European call option with a strike price of ₺200 and five months remaining until expiration written on a single share of this stock using to the Black-Scholes option pricing model
Shopify, Inc common stock currently sells for $1,229.91 per share, and the standard deviation of returns is 58.67%. A call option with a strike price of $1,100 is currently trading on the market. The option expires in 0.15 years, and the risk-free rate of return is 0.9%. Shopify does not pay a dividend. What is rho (ρ) for this call option assuming a continuous model such as the Black-Scholes model? A) 104.1327 B) 107.2895 C) 57.7772 D) 107.0002
Consider a market where the assumptions behind the Black-Scholes model hold. A non-dividend paying share is currently priced at $300. A put option is available on the share with a strike price of $320 and one year to expiry. Volatility of 15% and the risk-free rate is 5% per annum. What would be the fair price of the put option.
You observe a €50 price for a non-dividend-paying stock. The call option has two years to mature, the periodically compounded risk-free interest rate is 5%, the exercise price is €50, u = 1.356, and d = 0.744. Assume the call option is European-style.Compute the current PUT option value