EBK ESSENTIALS OF INVESTMENTS
10th Edition
ISBN: 8220102800267
Author: Bodie
Publisher: YUZU
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Chapter 15, Problem 25PS
You buy a share of stock, mite a one-year call option with
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You buy a share of stock, write a 1-year call option with X= $95, and buy a 1-year put option with X= $95. Your net outlay to establish
the entire portfolio is $94. The stock pays no dividends.
a. What is the payoff of your portfolio?
Payoff
b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.)
Risk-free rate
You buy a share of stock, write a 1-year call option with X = $80, and buy a 1-year put option with X = $80. Your net outlay to establish the entire portfolio is $78.4. The stock pays no dividends.
1.What is the payoff of your portfolio?
2.What must be the risk-free interest rate?
You buy a share of stock, write a 1-year call option with X = $85, and buy a 1-year put option with X = $85. Your net outlay to establish the entire portfolio is $83.3. Required: What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places.
Chapter 15 Solutions
EBK ESSENTIALS OF INVESTMENTS
Ch. 15.2 - Plot the rate of return to the call-plus-bills...Ch. 15.2 - Prob. 2EQCh. 15 - Prob. 1PSCh. 15 - Prob. 2PSCh. 15 - Prob. 3PSCh. 15 - Prob. 4PSCh. 15 - Prob. 5PSCh. 15 - Prob. 6PSCh. 15 - Prob. 7PSCh. 15 - The following diagram shows the value of a put...
Ch. 15 - You are a portfolio manager who uses Options...Ch. 15 - An investor purchases a stock for 38 and a put for...Ch. 15 - ll. Imagine that you are holding shares of stock,...Ch. 15 - Prob. 12PSCh. 15 - The common stock of the R.U.I.T. Corporation has...Ch. 15 - 14. The common stock of the C.A.L.L. Corporation...Ch. 15 - Prob. 15PSCh. 15 - Prob. 16PSCh. 15 - Prob. 17PSCh. 15 - Prob. 19PSCh. 15 - In what ways is owning a corporate bond similar to...Ch. 15 - Prob. 21PSCh. 15 - Consider the following options portfolio: You...Ch. 15 - Consider the following portfolio. You write a put...Ch. 15 - A put option with strike price 300 on the Acme...Ch. 15 - You buy a share of stock, mite a one-year call...Ch. 15 - Prob. 26CCh. 15 - You write a call option with X=50 and buy a call...Ch. 15 - Devise a portfolio using only call options and...Ch. 15 - Prob. 29CCh. 15 - Prob. 1CPCh. 15 - Prob. 2CPCh. 15 - Prob. 3CPCh. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 1WM
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- You buy a share of stock, write a one-year call option with X = $26, and buy a one-year put option with X = $26. Your net outlay to establish the entire portfolio is $24.60. What is the payoff of your portfolio? What must be the risk-free interest rate? The stock pays no dividends. (Do not round intermediate calculations. Round "risk-free rate" to 2 decimal places.)arrow_forward4. (15 pts) The current price of a stock is $50 and we assume it can be modeled by geometric Brownian motion with o = .15. If the interest rate is 5% and we want to sell an option to buy the stock for $55 in 2 years, what should be the initial price of the option for there not to be an arbitrage opportunity?arrow_forwardD3) Finance What is the probability that the put option is OTM at maturity if: the Stock is S = $195.00, no dividend is paid, the risk-free rate is r = 2.40%, the strike price is K = 209.00, the maturity is T = 23 months and the parameters are d1 = 0.2328 and d2 = -0.3175?arrow_forward
- H5. What is the payoff to the trading strategy if the stock price at expiration is equal to $0 (i.e., the stock price is zero)? What is the payoff to the trading strategy if the stock price at expiration is equal to $50? What portfolio of calls (maturity T, any strike) and/or bonds (Zero Coupon Bond paying $1 at time T) will give you the desired payoff? Group of answer choices Sell $30 zero-coupon bonds, buy a call option with a strike price of $20, sell two call options with a strike of $40, and sell a call option with a strike price of $80 Buy $30 zero-coupon bonds, sell two call option with a strike price of $30, buy 2 call options with a strike of $40, and sell a call with a strike price of $80 It is not possible to construct this payoff with only calls and bonds Sell $50 zero-coupon bonds, buy two call with the strike price of $80, buy two calls with a strike price of $40, and sell a call with a strike of $20 Buy $30 zero-coupon bonds, sell a call option with a strike…arrow_forwardA call option has X=$52 and expire in 360 days (suppose we have 360 days in one year). The risk-free rate is 4%. The call is priced at $11. A put option has X-$52 and is priced at $1. The underlying asset is priced at S0=$43. Suppose in our investments, we could involve one call, one put, one bond, and on stock. How much arbitrage profit could we possibly obtain?arrow_forwardSuppose that a call option to buy a share for $200 costs $10. What is the delta of this option today if the current stock price is $180? (ignore time value of the option) A. around 2 B. None of these answers are correct. C. around 0.5 D. close to 0 E. close to 1arrow_forward
- Consider a put option on a stock that currently sells for £100, but may rise to £120 or fall to £80 after 1 year. The risk free rate of return is 10%, and the exercise price is £90. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations.arrow_forward5. Suppose the one-year futures price on a stock-index portfolio is 1218, the stock index currently is 1200, the one-year risk-free interest rate is 3%, and the ybar-end dividend that will be paid on a $1,200 investment in the index portfolio is $15. a. By how much is the contract mispriced? b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing. Assume a zero bid-ask spread in security and futures transactions. Now assume that if you short sell the stocks in the index portfolio, the proceeds are kept with the broker, and you do not receive any interest income of the funds. Is there still an arbitrage opportunity (assuming that you don't already own the shares in the index)? d. Given the short sale rules, what is the no-arbitrage band for the stock-futures price relationship? Specifically, how high and how low can the futures price be without giving rise to arbitrage opportunities. C.arrow_forwardD6) You use the Black Scholes model to price a Call option on a stock with discrete dividends. The dividends will be given in months 1, 5, and 9, each 3 USD. The current value of the stock is 105 USD, the strike price is 90 USD, the continuously compounded annual risk-free rate is 0.05, the volatility is 0.08, the time to maturity is 12 months. Calculate the price of the option.arrow_forward
- Compute the Black-Scholes price of a call option on a stock which does not pay dividends and has the volatility 0.3, if its exercise price is 200 USD and expiration in two year. Interest rate is zero and the price of the stock is 180 USDarrow_forwardNeed helparrow_forward4. Consider a stock with a current price of S0 = $60. The value of the stock at time t = 1 can take one of two values: S1,u = $100, S1,d = $40. The price of a risk-free bond that pays out $1 in period t = 1 is $0.90. (a) Using a one-step binomial tree, write down the possible payoffs of a put option on stock S with strike K = $60 and maturity t = 1. (b) What is the price of this put option? (c) What is the price of a call option with strike K = $60 and maturity t = 1? Please use put-call parity to find the call price.arrow_forward
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