FUND. OF CORPORATE FIN. 18MNTH ACCESS
15th Edition
ISBN: 9781259811913
Author: Ross
Publisher: MCG CUSTOM
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Chapter 25, Problem 4QP
Put–Call Parity [LO1] A put option that expires in six months with an exercise price of $50 sells for $4.35. The stock is currently priced at $48, and the risk-free rate is 3.5 percent per year, compounded continuously. What is the price of a call option with the same exercise price?
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Q5. Consider a six-month European put option on a non- dividend-paying stock. The current stock price is $100 and the strike price is $105. The risk-free rate is 10% per annum with semiannual compounding. A lower bound for the price of the European put option is $ _ If the put option were an American put option, a lower bound would be $_
Q6. The price of a European call that expires in six months and has a strike price of $50 is $2. The current underlying stock price is $50, and a dividend of $2 is expected in three months from now. The risk-free interest rate is 10% per annum with quarterly compounding. For the same stock, what is the price of a European put option with the same maturity and strike price? $
Q7. Suppose that c1, c2, and c3 are the prices of European call options on a particular stock with strike prices K1, K2, and K3, respectively, and that p1, p2, and p3 are the prices of European put options on the same stock with strike prices K1, K2, and K3, respectively, where K…
V7. A stock price is currently $232. It is known that at the end of seven months itwill be either $260 or $210. The risk-free interest rate is 3.5% per annum with continuouscompounding. hat is the value of a seven-month European put option with a strike priceof $240? Use no-arbitrage arguments.
23.10 What are the prices of a call option and a put option with the following characteristics?
Stock price = $46
Exercise price = $50
Risk-free rate = 6% per year, compounded continuously
Maturity = 3 months
Standard deviation = 54% per year
Chapter 25 Solutions
FUND. OF CORPORATE FIN. 18MNTH ACCESS
Ch. 25.1 - Prob. 25.1ACQCh. 25.1 - Prob. 25.1BCQCh. 25.2 - Prob. 25.2ACQCh. 25.2 - Prob. 25.2BCQCh. 25.3 - Prob. 25.3ACQCh. 25.3 - Prob. 25.3BCQCh. 25.4 - Why do we say that the equity in a leveraged firm...Ch. 25.4 - Prob. 25.4BCQCh. 25.5 - Prob. 25.5ACQCh. 25.5 - Prob. 25.5BCQ
Ch. 25 - Prob. 25.1CTFCh. 25 - Prob. 25.3CTFCh. 25 - Prob. 1CRCTCh. 25 - Prob. 2CRCTCh. 25 - Prob. 3CRCTCh. 25 - Prob. 4CRCTCh. 25 - Prob. 5CRCTCh. 25 - Prob. 6CRCTCh. 25 - Prob. 7CRCTCh. 25 - Prob. 8CRCTCh. 25 - Prob. 9CRCTCh. 25 - Prob. 10CRCTCh. 25 - Prob. 1QPCh. 25 - Prob. 2QPCh. 25 - PutCall Parity [LO1] A stock is currently selling...Ch. 25 - PutCall Parity [LO1] A put option that expires in...Ch. 25 - PutCall Parity [LO1] A put option and a call...Ch. 25 - PutCall Parity [LO1] A put option and call option...Ch. 25 - BlackScholes [LO2] What are the prices of a call...Ch. 25 - Delta [LO2] What are the deltas of a call option...Ch. 25 - BlackScholes and Asset Value [LO4] You own a lot...Ch. 25 - BlackScholes and Asset Value [L04] In the previous...Ch. 25 - Time Value of Options [LO2] You are given the...Ch. 25 - PutCall Parity [LO1] A call option with an...Ch. 25 - BlackScholes [LO2] A call option matures in six...Ch. 25 - BlackScholes [LO2] A call option has an exercise...Ch. 25 - BlackScholes [LO2] A stock is currently priced at...Ch. 25 - Prob. 16QPCh. 25 - Equity as an Option and NPV [LO4] Suppose the firm...Ch. 25 - Equity as an Option [LO4] Frostbite Thermalwear...Ch. 25 - Prob. 19QPCh. 25 - Prob. 20QPCh. 25 - Prob. 21QPCh. 25 - Prob. 22QPCh. 25 - BlackScholes and Dividends [LO2] In addition to...Ch. 25 - PutCall Parity and Dividends [LO1] The putcall...Ch. 25 - Put Delta [LO2] In the chapter, we noted that the...Ch. 25 - BlackScholes Put Pricing Model [LO2] Use the...Ch. 25 - BlackScholes [LO2] A stock is currently priced at...Ch. 25 - Delta [LO2] You purchase one call and sell one put...Ch. 25 - Prob. 1MCh. 25 - Prob. 2MCh. 25 - Prob. 3MCh. 25 - Prob. 4MCh. 25 - Prob. 5MCh. 25 - Prob. 6M
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- D6 Suppose the ASX200 Index is currently at 7,406, the expected dividend yield on the index is 2 percent per year, and the risk-free rate is 0.35%. Using the current price of ASX200 futures contracts that expire in six months recommend a program trading strategy for buying or selling the futures?arrow_forwardH2. Using the Black-Scholes model (BSOPM), compute the standard deviation that is implied by the following call option data as: the time to the option's maturity is 0.25 years, the price of the underlying option asset is RM30, the continuously compounded risk-free interest rate is 0.12. the exercise or striking price is RM30, and the cost or premium of the call is RM1.90.arrow_forward13 . The S&P 500 is currently at 2888. The CBOE far-term VIX (^vif) is at 13.15, and the one-year LIBOR rate is 2.75%. Assuming that the far-term VIX is the right volatility for one-year options, what is the value of a derivative that pays off $1000 if the S$P 500 is above 2900 one year from today? Assume the dividend yield for the index is 1% per year.arrow_forward
- V3. Consider a European call option on Allana Inc. stock. The option matures in 8 months and its strike price is $50. Current stock price per Allana Inc.’s share is $50. Allana Inc. will pay $2 dividend per share in 2 month and $3 per share in 6 months and the risk free rate is 3% per annum with continuous compounding for all maturities. Assume that the standard deviation of Allana Inc.’s stock return is 30% per year. The Black-Scholes value of this call option is ______. $18.31 $15.17 $6.92 $5.24 $2.96arrow_forward5 Consider an asset with current price 26 that provides income 0.50 in 3 months time. The price of a 6-month European call on the asset with strike 24 is ct = 1.75 and the risk free rate is4.5% for all maturities.(i) Show that there is an arbitrage opportunity.(ii) Construct an appropriate arbitrage portfolio to take advantage of the situation and determine the profit per call option used.arrow_forwardQuestion 2. (a) Use the Black-Scholes formula to find the current price of a European call option on a stock paying no income with strike 60 and maturity 18 months from now. Assume the current stock price is 50, the lognormal volatility of the stock is σ = 20%, and the constant continuously compounded interest rate is r = 10%.arrow_forward
- Q6. Consider an asset with a current market value of $400,000 and a duration of 5 years. Assume the asset is partially funded through a zero-coupon bond with a maturity (principal) value of $360,000 and has a maturity of 5 years. The current market rate is 6% and interest rates are expected to increase by 1%. Which of the following statements is true? The current equity value of the position is $661,976 and if interest rates increase the equity value will decrease. The current equity value of the position is $861,876 and if interest rates increase the equity value will increase. The current equity value of the position is $450,000 and if interest rates increase the equity value will remain unchanged. The current equity value of the position is $130,987 and if interest rates increase the equity value will decrease. The current equity value of the position is $40,000 and if interest rates increase the equity value will decrease.arrow_forwardD6 Finance A stock price is currently $30. During each two-month period for the next four months it is expected to increase by 8% or reduce by 6%. The annual risk-free interest rate is 6%. Use a two-step tree to calculate the value of a derivative that pays off Max[(30-Sr),0]^2 where St is the stock price in four months. If the derivative is American-style, should it be exercised early?arrow_forwardAa.1 The current price of stock XYZ is 100. In one year, the stock price will either be 120 or 80. The annually compounded risk-free interest rate is 10%. i. Calculate the no-arbitrage price of an at-the-money European put option on XYZ expiring in one year. ii. Suppose that an equivalent call option on XYZ is also trading in the market at a price of 10. Determine if there is a mis-pricing. If there is a mis-pricing, demonstrate how you would take advantage of the arbitrage opportunity.arrow_forward
- Question 16 A call option with an exercise price of $40 and four months to expiration sells for $6.78. If the risk-free rate is 1.80% per year (compounded continuously) and the market price of a stock is $45, calculate the price of a put option on this stock $5.24 $5.00 $1.54 $2.50arrow_forwardH4. Work out the value of European Call on a risky asset A, currently selling at $600. The European Call has a term to maturity of 1.5 years and a strike price of $675. SD(dA/A), the volatility of returns on the risky asset is 18% per year, and the discrete risk-free rate is 0.9% per yeararrow_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
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