The current price of a stock is $15. In 6 months, the price will be either $19 or $11. The annual risk-free rate is 4%. Find the price of a call option on the stock that has a strike price of $13 and that expires in 6 months. (Hint: Use daily compounding.) Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent. $

The current price of a stock is $15. In 6 months, the price will be either $19 or $11. The annual risk-free rate is 4%. Find the price of a call option on the stock that has a strike price of $13 and that expires in 6 months. (Hint: Use daily compounding.) Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent. $

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The current price of Natasha Corporation stock is $6.00. In each of the next two years, this stock price can either go up by $2.50 or go down by $2.00. The stock pays no dividends. The one-year risk-free interest rate is 3.0% and will remain constant. Using the Binomial Model, calculate the price of a two-year call option on Natasha stock with a strike price of $7.00. The price of the two-year call option is $ (Round to the nearest cent.)
A stock price is currently $51. It is assumed that at the end of six months it will be either $30 or $74. The risk-free interest rate is 1.3% per annum with continuous compounding. The stock doesn't pay dividends. One-step binomial tree is used to value options. What is the value of a six-month European call option with a strike price of $51? Round your final result to the nearest cents and input one number only, without units or percentage sign [%], using the dot [.] to separate decimals. Your Answer: Answer
Use the binomial tree analysis to value a 6-month American put option with a $65 strike price on Crookshanks Corporation. The shares are currently trading for $60. The annualized continuously compounded risk-free rate is 3%. The volatility of the stock is 57%. You will use the Cox Ross Rubenstein method for computing the binomial tree, and use a time step of 2 months.
The price of a stock is currently $37. Over the next half year, the price is anticipated to rise to $42 or decline to $36. The upside has a 60% probability of occurring. The risk-free interest rate is 5% p.a.. What is the price of a six month call option with an exercise price of $38?
round to nearest dollar
A non-dividend-paying stock is currently selling for $50, and the risk-free rate of interest is 8% per annum with continuous compounding for all maturities. An investor has just taken a short position in a six-month forward contract on the stock. a. What is the forward price？ (sample answer: $25.45) b. What is the initial value of the forward contract? (sample answer: $25.45) c. Three months later, the price of the stock is $48 and the risk-free rate is still 8% per annum. What is the forward price now? (sample answer: $25.45) What is the value of the short position in the forward contract? (sample answer: $25.45 or -$25.45
The market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31
The following information is given: Time to expiration 1 year. Standard deviation 40% per year. Exercise price $72. Stock price $72. Risk free rate 4% a year. Use the Black–Scholes formula to find the value of the calloption. What is the value of the put option with the same exercise price and time to expiration? What is the value of the call option if time to expiration is 3 years? What is the value of the call option if the standard deviation is 20%? What is the value of the call option if the exercise price is $90? What is the value of the call option if the current stock price is $50? What is the value of the call option if the risk-free rate is 8%?
The stock price of Heavy Machine (HM) changes only once a month: Either it goes up by 20% or it falls by 16.7%. Its price now is $50. The interest rate is 1% per month. What is the value of a one-month call option with an exercise price of $45?Round to 2 decimal points for each step of the calculation. A. $ 7.20B. $ 7.13C. $ 7.72D. $ 7.80

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