Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN: 9781337395083
Author: Eugene F. Brigham, Phillip R. Daves
Publisher: Cengage Learning
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Textbook Question
Chapter 5, Problem 6P
Binomial Model
The current price of a stock is $20. In 1 year, the price will be either $26 or $16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of $21 and that expires in 1 year. (Hint: Use daily compounding.)
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Suppose the stock price is $20 today. In the next six months it will either fall by 50 percent or rise by 50 percent. What is the current value of a call option with an exercise price of $15 and expiration of one year? The six-month risk-free interest rate is 10 percent (periodic rate). Use the two-stage binomial method.
$7.86
$2.14
$8.23
$8.93
Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1.
b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
Chapter 5 Solutions
Intermediate Financial Management (MindTap Course List)
Ch. 5 - Define each of the following terms:
Option; call...Ch. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 1PCh. 5 - The exercise price on one of Flanagan Companys...Ch. 5 - Black-Scholes Model
Assume that you have been...Ch. 5 - Put–Call Parity
The current price of a stock is...Ch. 5 - Prob. 5PCh. 5 - Binomial Model The current price of a stock is 20....Ch. 5 - Prob. 7P
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- The current price of a stock is $22, and at the end of one year its price will be either $29 or $15. The annual risk-free rate is 3%, based on daily compounding. A 1-year call option on the stock, with an exercise price of $22, is available. Based on the binominal model, what is the option's value?arrow_forwardWhat are the prices of a call option and a put option with the following characteristics? Stock price = $93 Excerise price = $90 Risk - free rate = 4% per year, compounded continuously Maturity = 5 months Standard deviation = 62% per yeararrow_forwardD4) Finance Calculate the price of a 3-month American put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the risk-free interest rate is 5% per annum, and the volatility is 25% per annum. Use a binomial tree with a time interval of 1 month.arrow_forward
- The current stock price of Chocho inc is $125. You expect the stock price a year from now to be either $134 or $86 with equal probabilities. The interest rate at which investors can borrow is 13%. Using the binomial opm, what should be the price (premium) of a call option with an exercise price of $225.50 and an expiration date one year from now?arrow_forwardValue of a stock is currently at $40. Volatility of that stock is 30% per year and risk- free interest rate with continuous compounding is at 2.5% per year. Find the value of a 6-month call and a 6-month put option using a two-step binomial model. Both options have strike price of $41.arrow_forwardConsider a European call option on a stock with current price $100 and volatility 25%. The stock pays a $1 dividend in 1 month. Assume that the strike price is $100 and the time to expiration is 3 months. The risk free rate is 5%. Calculate the price of the the call option.arrow_forward
- A put option will mature in six months. The standard deviation of the underlying stock returns is 50% per year. The exercise price of the put option is $50 and the stock price is also $50. The risk-free interest rate is 3% per year. Using the Black- Scholes formula, what is the price of the put option? Show detailed work leading to your answer in the working sheet. $6.34 $7.08 $8.07 $3.64arrow_forwardConsider a 1-year option with exercise price $65 on a stock with annual standard deviation 15%. The T-bill rate is 3% per year. Find N(d1) for stock prices $60, $65, and $70.arrow_forwardAssume BBB stock price is currently $20. In each six-month period, it will either fall by 50 percent or rise by 100 percent. What is the current value of a one-year call option with an exercise price of $15? The six-month risk-free interest rate is 5 percent per six-month period. [Use the two-stage binomial method.]arrow_forward
- using the chart, how much should the call option worth. please show how to solve this in excel and the formulasarrow_forwardSuppose a stock is priced at $75 at expiriry and the annual interest rate is 8 %. Determine the profit at expirity for the following one-year european call options: A $ 70-strike call with premium $ 9.91 ? A $ 75-strike call with premium $ 6.03 A $ 80-strike call with premium $ 4.64 ? ?arrow_forwardSuppose XYZ stock pays no dividends and has a current price of $50. The forward price for delivery in 1 year is $55. Suppose the 1-year eective annual interest rate is 10%. (a) Graph the payo and prot diagrams for a forward contract on XYZ stock with a forward price of $55. (b) Is there any advantage to investing in the stock or the forward contract? Why? (c) Suppose XYZ paid a dividend of $2 per year and everything else stayed the same. Now is there any advantage to investing in the stock or the forward contract? Why?arrow_forward
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