PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 21, Problem 18PS
a)
Summary Introduction
To discuss: Following options may be rational to exercise before the maturity.
b)
Summary Introduction
To discuss: Following options may be rational to exercise before the maturity.
c)
Summary Introduction
To discuss: Following options may be rational to exercise before the maturity.
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The price of an American call on a non-dividend-paying stock is $4. The stock price is $31, the strike price is $30, and the expiration date is in 3 months. The risk-free interest rate is 8%. The upper and lower bounds for the price of an American put on the same stock with the same strike price and expiration date is $3.00 and $2.41, respectively.
Explain carefully the arbitrage opportunities if the American put price is greater than the calculated upper bound.
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.
Give typing answer with explanation and conclusion
What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.
Chapter 21 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 21 - Binomial model Over the coming year, Ragworts...Ch. 21 - Binomial model Imagine that Amazons stock price...Ch. 21 - Prob. 3PSCh. 21 - Binomial model Suppose a stock price can go up by...Ch. 21 - Prob. 6PSCh. 21 - Two-step binomial model Suppose that you have an...Ch. 21 - Prob. 8PSCh. 21 - Option delta a. Can the delta of a call option be...Ch. 21 - Option delta Suppose you construct an option hedge...Ch. 21 - BlackScholes model Use the BlackScholes formula to...
Ch. 21 - Option risk A call option is always riskier than...Ch. 21 - Option risk a. In Section 21-3, we calculated the...Ch. 21 - Prob. 16PSCh. 21 - Prob. 18PSCh. 21 - American options The price of Moria Mining stock...Ch. 21 - American options Suppose that you own an American...Ch. 21 - American options Recalculate the value of the...Ch. 21 - American options The current price of the stock of...Ch. 21 - American options Other things equal, which of...Ch. 21 - Option exercise Is it better to exercise a call...Ch. 21 - Option delta Use the put-call parity formula (see...Ch. 21 - Option delta Show how the option delta changes as...Ch. 21 - Dividends Your company has just awarded you a...Ch. 21 - Option risk Calculate and compare the risk (betas)...Ch. 21 - Option risk In Section 21-1, we used a simple...Ch. 21 - Prob. 30PS
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- Let there exist a non-dividend-paying stock, A, which has a current price of $80. Let there exist another stock, B, which has a current price of $100. Stock B will continuously pay dividends at a dividend yield of x. A one-year European exchange call option with underlying asset A and strike asset B is sold for $5, while a one-year European exchange put option with underlying asset A and strike asset B is sold for $15. 12% is the continuously compounded, risk-free interest rate. Calculate the value of stock B's dividend yield, x.arrow_forwardThe price of a one-year European call option on a non-dividend-paying stock is $6. The price of a one-year European put option on the same stock is $1. The strike price for both the call and the put is $50. The stock price today is $51 and the continuously compounded risk-free rate is 6% per annum. Use the put-call parity to suggest an arbitrage strategy to earn risk-free profits. Specifically, describe the various short and long positions you need to take in the underlying assets and show all the relevant cash flows from this strategy at both origination and expiration. Use a TABLE to show all of your work.arrow_forwardANSWER C AND D PLEASE ONLY In a financial market a stock is traded with a current price of 50. Next period the priceof the stock can either go up with 30 per cent or go down with 25 per cent. Risk-freedebt is available with an interest rate of 8 per cent. Also traded are European optionson the stock with an exercise price of 45 and a time to maturity of 1, i.e. they maturenext period.a) Find prices of Arrow-Debreu securities.b) Calculate the price of a call option by constructing and pricing areplicating portfolio. c) Calculate the price of a put option by RNVR.d) Does put-call parity hold? Explain.arrow_forward
- Question A .The price of an American call on a non-dividend-paying stock is $4. The stock price is $31, the strike price is $30, and the expiration date is in 3 months. The risk-free interest rate is 8%. The upper and lower bounds for the price of an American put on the same stock with the same strike price and expiration date is $3.00 and $2.41, respectively. Explain carefully the arbitrage opportunities if the American put price is greater than the calculated upper bound. Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this linearrow_forwardStock ABC is currently standing at £1,508. Consider the corresponding stock options that expire in 90 days. The current Treasury Bills have a risk-free annual rate 2 percent. On the market, the calls and puts listed for ABC have an exercise price of £1,550. (a) Assume there are no dividends paid for stock ABC. (i) Explain the payoff diagrams for the put & call options for both European options and American options. Explain whether an increase in volatility would have impacts on profits/payoffs diagrams of puts on stock ABC. If you are a hedger, why would you continue to buy such put options with increased uncertainty? Explain.arrow_forwardThe price of an American call on a non-dividend paying stock is $2. The stock price is $15.50, the strike price is $15, the expiration date is in 6 months, and the risk free interest rate is 4% continuously compounded. Which of the following is correct, regarding the option premium of an American put on the stock with a strike price of $15 and an expiration date in 6 months? a. The upper bound for the price of the American put is $14.70 and the lower bound is $0 b. The lower bound for the price of the American put is 0 and the upper bound is $1.50 c. The lower bound for the price of the American put is $1.20 and the upper bound is $1.50arrow_forward
- Market Data Risk-Free Rate (Annualized) 0.025 Vokinar Corporation Stock Price $55.00 Dividend Yield 0.03 Standard Deviation 0.45 Exercise Price $50.00 Maturity (Years) 0.25 Required: Using the Black-Scholes option pricing formula and the data above, please calculate the price of the European call and put for this share of stock. (Use cells A3 to B10 from the given information to complete this question.) Vokinar Corporation d1 d2 N(d1) N(d2) Call Price Put Pricearrow_forwardConsider a European put option on a non-dividend paying stock with exercise price 100 USD and expiration time in one year. Interest rate is 1 percent and the price of the stock today is 75 USD. For what price of the option is the Black-Scholes implied volatility equal to 0.35 Use excel.arrow_forwardAn institutional investor holds several European call options on a non-dividend-paying stock with a strike of $55. The current stock price is $65, while the continuously compounded risk-free rate is 2% p.a and volatility is 25%. Assuming that the market follows the assumptions of the Black-Scholes option model: (i) Calculate the price of a one-year call option on the stock. (ii) Calculate the price of a one-year put on the same stock with the same strike price.arrow_forward
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