Use the Black-Scholes formula to value the following options: A call option written on a stock selling for $77 per share with a $77 exercise price. The stock's standard deviation is 7% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. A put option written on the same stock at the same time, with the same exercise price and expiration date. Please calculate a call value, and b - put value.

Use the Black-Scholes formula to value the following options: A call option written on a stock selling for $77 per share with a $77 exercise price. The stock's standard deviation is 7% per month. The option matures in three months. The risk-free interest rate is 1.50% per month. A put option written on the same stock at the same time, with the same exercise price and expiration date. Please calculate a call value, and b - put value.

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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Suppose that a call option with a strike price of $48 expires in one year and has a current market price of $5.17. The market price of the underlying stock is $46.25, and the risk-free rate is 1%. Use put-call parity to calculate the price of a put option on the same underlying stock with a strike of $48 and an expiration of one year. The price of a put option on the same underlying stock with a strike of $48 and an expiration of one year is $. (Round to the nearest cent.)
Use the Black-Scholes formula to value the following options a. A call option written on a stock selling for $78 per share with a $78 exercise price. The stock's standard deviation is 8% per month The option matures in three months. The risk-free interest rate is 1.75% per month. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Call value ces b. A put option written on the same stock at the same time, with the same exercise price and expiration date. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Put value
You are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$
Please answer the five questions below. You may attach a spreadsheet or enter the answers in this box 1. A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. if the risk free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?
You own a call option on Intuit stock with a strike price of $40. The option will expire in exactly three months time. If the stock is trading at $55 in three months, what will be the payoff of the call? Note: practice drawing the payoff diagram.
Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer
Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. What is the value of the option. Please provide necessary calculations.
A call option is currently selling for $5.2. It has a strike price of $40 and five months to maturity. The current stock price is $42, and the risk-free rate is 5.4 percent. The stock will pay a dividend of $1.5 in two months. What is the price of a put option with the same exercise price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Price of a put option
You own a call option on Intuit stock with a strike price of $40. The option will expire in exactly three months’ time. If the stock is trading at $55 in three months, what will be the payoff of the call? Note: practice drawing the payoff diagram. Assume that you have shorted the call option in Question 2. If the stock is trading at $55 in three months, what will you owe? Note: practice drawing the payoff diagram. (ONLY ANSWER THIS QUESTION)
A put option is currently selling for $5.8. It has a strike price of $65 and seven months to maturity. The current stock price is $71. The risk-free rate is 4.8 percent, and the stock will pay a $3.1 dividend in two months. What is the price of a call option with the same strike price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Price of a call option
Consider 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.
Estimate the "Vega" of the following option. Assume that there are 252 days in a trading year and thus exactly 6-months until expiration means 126 trading days until expiration. The option is a call option. The stock is trading at $1,000. The option has exactly 6-months until expiration. The option strike price is $1,050. The risk-free rate is 3%. The stock pays no dividends. Our best estimate of the stock's volatility is 40% annualized. Group of answer choices $.26 $1.12 $2.82 $15.73

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