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?

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?

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter11: Managing Transaction Exposure

Section: Chapter Questions

Problem 35QA

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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.
You would like to be holding a protective put position on the stock of XYZ Company to lock in a guaranteed minimum value of $105 at year-end. XYZ currently sells for $105. Over the next year, the stock price will increase by 9% or decrease by 9%. The T-bill rate is 7%. Unfortunately, no put options are traded on XYZ Company. Required: Suppose the desired put option were traded. How much would it cost to purchase? What would have been the cost of the protective put portfolio? 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 = 105? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put.
You would like to be holding a protective put position on the stock of XYZ Company to lock in a guaranteed minimum value of $210 at year-end. XYZ currently sells for $210. Over the next year, the stock price will either increase by 10% or decrease by 10%. The T-bill rate is 4%. Unfortunately, no put options are traded on XYZ Company. Required: a. How much would it cost to purchase if the desired put option were traded? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would be the cost of the protective put portfolio?
). Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? a. $ 2.65 b. $ 1.78 c. $ 3.69 d. $ 4.22 e. None of the above
Suppose the call option of Tesla company has an exercise price of $200 and expires in 90 days. Assume the current price of Tesla stock is $240, with a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year. First, using the Black-Scholes formula, compute the price of the call. And then use put-call parity to compute the price of the put with the same strike and expiration date. Based on put-call parity, what should be the put option price? $ 2.65 $ 1.78 $ 3.69 $ 4.22 None of the above
You would like to be holding a protective put position on the stock of XYZ Company to lock in a guaranteed minimum value of $240 at year-end. XYZ currently sells for $240. Over the next year, the stock price will either increase by 7% or decrease by 7%. The T-bill rate is 3%. Unfortunately, no put options are traded on XYZ Company. Required: a. How much would it cost to purchase if the desired put option were traded? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What would be the cost of the protective put portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
In order to reduce risk when financing his new business, Linda intends to use a 3-month index futures contract. Assume that the index's current value is 2,040, the constantly compounded risk-free interest rate is 7.5% annually, and the dividend yield of that stock is 1% annually. Later, Linda believes that futures contracts on currencies can offer a greater return than futures contracts on indices. Consider storing a 3-year futures contract at a cost of MYR 6 per unit. Assume that the risk-free rate is 6% per year for all maturities and that the current price is MYR 760 per unit. Estimate the predicted price in the future. What will Linda do if she is an arbitrageur, and the real future price is higher than the predicted future price?
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.
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?
One of the options is Delta Airlines. They have paid an annual divendend of $3.98 for the past 25 years and we expect them to continue this indefinetly. Assuming the market requires a(n) 12.0% return Delta, what is the value of a share of stock? (Answer with 2 decimals.) And what if we assumed they would start increasing their divendend by 2.5% per year? What would be a fair price in that scenario? (Answer with 2 decimals.)
Rebecca is interested in purchasing an European call on a hot new stock, Up, Inc. The call has a strike price of $100 and expires in 90 days . The current price of Up stock is $120, and the stock has a standard deviation of 40% per year. The risk-free interest rate is 6.18% per 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
You need to price a put option on the stock of APPLE with an exercise price of $50 and six months to expiration. The current stock price of APPLE is $52, the risk-free rate is 10% p.a. (c.c.) and the volatility of the stock price of APPLE is 30% p.a. APPLE will pay a dividend of $1 in exactly four months’ time. This put option is to be priced using a two-period binomial option pricing model, with three months in each period. QUESTION: Draw the two-period tree diagram for the adjusted stock price (that recognizes the impact of the dividend) of APPLE. Show the expiration date payoffs from the put option.