Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 17, Problem 10PS
Consider a stock that will pay a dividend of D dollars in one year, which is when a futures contract matures. Consider the following strategy: Buy the Stock, short a futures contract on the stock, and borrow
a. What are the cash flows now and in one year? (Hint: Remember the dividend the
stock will pay.)
b. Show that the
c. Call the dividend yield
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Consider a two period economy. You can buy stocks in period 0, and then sell them in period 1. You can also enter into futures contracts in period 0, which expire in period 1.
Suppose a stock has a β of 0.5. The stock pays no dividends, and is trading at $100. The market has an expected return of 10%. The interest rate is 2%. Suppose the CAPM holds. What is the stock’s expected return? What is the expected price of the stock in period 1?
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A 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
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Chapter 17 Solutions
Essentials Of Investments
Ch. 17.4 - Experiment with different values for both income...Ch. 17.4 - 2. What happens to the time spread if the income...Ch. 17.4 - Prob. 3EQCh. 17 - Prob. 1PSCh. 17 - The current level of the S . The risk-free...Ch. 17 - Prob. 3PSCh. 17 - Prob. 4PSCh. 17 - Prob. 6PSCh. 17 - Prob. 7PSCh. 17 - Prob. 8PS
Ch. 17 - Prob. 9PSCh. 17 - Consider a stock that will pay a dividend of D...Ch. 17 - Prob. 11PSCh. 17 - Prob. 13PSCh. 17 - Prob. 14PSCh. 17 - Prob. 15PSCh. 17 - Prob. 16PSCh. 17 - Prob. 17PSCh. 17 - Prob. 18PSCh. 17 - Prob. 19PSCh. 17 - Prob. 20PSCh. 17 - Prob. 21PSCh. 17 - Prob. 22PSCh. 17 - Prob. 23PSCh. 17 - Prob. 24CCh. 17 - a. How would your hedging strategy in the previous...Ch. 17 - Prob. 26CCh. 17 - Prob. 27CCh. 17 - Prob. 1CPCh. 17 - Prob. 2CPCh. 17 - Prob. 3CPCh. 17 - In each of the following cases, discuss how you,...Ch. 17 - Prob. 5CPCh. 17 - Joan Tam, CFA, believes she has identified an...Ch. 17 - Prob. 7CPCh. 17 - Prob. 8CPCh. 17 - Prob. 9CPCh. 17 - Prob. 1WMCh. 17 - Prob. 2WMCh. 17 - Prob. 3WMCh. 17 - Prob. 4WM
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- 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?arrow_forwardSuppose you are a seller . At time t = 0 you get £C from the buyer where C is the risk-neutral price of the option. You then have to design a hedging strategy which would allow you to meet your financial obligation in one year’s time. Your portfolio should consist of two investments: you are allowed to buy the underlying shares and to deposit money in the bank. The price of the share evolves according to a geometric Brownian motion. State the formulae you will need to compute the number of shares in the portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1.arrow_forwardConsider 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. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your your calculations.arrow_forward
- In this problem we assume the stock price S(t) follows Geometric Brownian Motion described by the following stochastic differential equation: dS = µSdt + o Sdw, where dw is the standard Wiener process and u = 0.13 and o = current stock price is $100 and the stock pays no dividends. 0.20 are constants. The Consider an at-the-money European call option on this stock with 1 year to expiration. What is the most likely value of the option at expiration? Please round your numerical answer to 2 decimal places.arrow_forwardA power option pays off [max(S₁ - X),01² at time T where ST is the stock price at time T and X is the strike price. Consider the situation where X = 26 and T is one year. The stock price is currently $24 and at the end of one year it will either $30 or $18. The risk-free interest rate is 5% per annum, compounded continuously. What is the risk- neutral probability of the stock rising to $30? 0.500 0.603 0.450 None of the abovearrow_forwardConsider 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. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations.arrow_forward
- Consider a European call option and a European put option that have the same underlying stock, the same strike price K = 40, and the same expiration date 6 months from now. The current stock price is $45. a) Suppose the annualized risk-free rate r = 2%, what is the difference between the call premium and the put premium implied by no-arbitrage? b) Suppose the annualized risk-free borrowing rate = 4%, and the annualized risk-free lending rate = 2%. Find the maximum and minimum difference between the call premium and the put premium, i.e., C − P such that there is no arbitrage opportunities.arrow_forwardConsider 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.arrow_forwardSuppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?arrow_forward
- Consider a put option on a stock that curretly sclls 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. (a) Calculate the value of the put option using the risk-neutral valuation relationship (RNVR). Explain the reasoning behind your calculations. (b) Calculate the value of the put option by using first principles (No Arbitrage prin- ciples). Explain the reasoning behind your calculations. (c) What is the price of a call option on the same stock with the same exercise price and the same expiration date? Explain the reasoning behind your calculations.arrow_forwardThe market price of a security is $52. Its expected rate of return is 12.1%. The risk-free rate is 4%, and the market risk premium is 7.3%. What will be the market price of the security if its correlation coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Market pricearrow_forwardAssume 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.arrow_forward
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