You have been granted stock options on 300 shares of your employer's stock. The stock is currently selling for $37.80 and has a standard deviation of 30%. The option's strike price is $35 and the time to maturity is 10 years. What is the value of each option given a risk-free rate of 3.0 % ? Assume that no dividends are paid. The standard normal probabilities are: N(-d1).19169 N(-d2)=.53068

You have been granted stock options on 300 shares of your employer's stock. The stock is currently selling for $37.80 and has a standard deviation of 30%. The option's strike price is $35 and the time to maturity is 10 years. What is the value of each option given a risk-free rate of 3.0 % ? Assume that no dividends are paid. The standard normal probabilities are: N(-d1).19169 N(-d2)=.53068

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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Refer to the stock options on Microsoft in the Figure 2.10. Suppose you buy a November expiration call option on 100 shares with the excise price of $140. Required: a-1. If the stock price at option expiration is $144, will you exercise your call?a-2. What is the net profit/loss on your position? (Input the amount as a positive value.)a-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) b-1. Would you exercise the call if you had bought the November call with the exercise price $135?b-2. What is the net profit/loss on your position? (Input the amount as a positive value.)b-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)c-1. What if you had bought the November put with exercise price $140 instead? Would you exercise the put at a stock price of $140?c-2. What is the rate of return on your position? (Negative…
The current price of a non-dividend-paying stock is $40. Over the next year it is expected to rise to $44 or fall to $36. An investor buys put options with a strike price of $41. What is the price of each option? The risk-free interest rate is 2% per annum (assume discrete compounding). a. $2.35 b. $1.76 c. $2.18 d. $1.96
A stock currently trades at $100. In one month its price will either be $125, $100, or $75. 1 sell you a call option on this stock, struck at $95, for $11. | hedge my exposure by purchasing A shares, borrowing 1004 - 11 in order to fund the purchase. The simple rate of interest is 12%. (@) What will my profit/loss be in one month? {b) Is it possible for me to completely hedge my exposure? Explain.
An investor wants to purchase a stock that sells for $48. What is the value of a one-year put option to buy the stock at $45, if debt currently yields 8% and the standard deviation of stock returns is 11%? a. $3.84 b. $6.68 c. $5.28 d. $3.00
The current price of a non-dividend-paying stock is $25. Over the next six months it is expected to rise to $30 or fall to $21. An investor buys put options with a strike price of $27. What is the value of each option? The risk-free interest rate is 5% per annum with continuous compounding. Answer to 3dps. Group of answer choices 1.578 2.840 3.018 0.935
3. A stock sells for $110. A call option on the stock has an exercise price of $105 and expires in 43 days. If the interest rate is 0.11 and the standard deviation of the stock’s return is 0.25. a) Calculate the call using the Black-Scholes model b) What would be the price of a put with an exercise price of $140 and the same time until expiration? c) How does an increase in the volatility and interest rate changes affect the underlying stock’s return on an option’s value? Explain.
Give typing answer with explanation and conclusion to all parts A call option on a non-dividend-paying stock has a market price of +212. The stock price is $15, the exercise price is $13, the time to maturity is 3 months, and the risk-free interest rate is 5% per annum. What is the implied volatility? Please do all work?
Assume a stock trades at $95, the volatility of the stock is 36%, and the risk-free interest rate is 3.9%. What is the Vega of a $101 strike call option expiring in 249 days if the volatility of the stock increases by 1%? Please answer to 2 decimal places, answer is 31 please explain why
Consider the following information on AAPL. The current stock price is $326.72. The call option has a strike price of $320. The price of the call option is $68. The option has 1 year till expiration. Question: Suppose you purchase the option at the current price and hold it until expiration. If the stock price at expiration is $350, the return on your investment is: -55.88% 44.11% -100% None of the above
Assume that a stock trading for $30 today will be worth either $25 or $35 in two years. A risk-free asset offers an annualized 3% return (continuously compounded) over that time period. • What is the price today of a two-year put option on this stock with a strike price of $32? The maximum error is 0.1. O a. 1.52 O b. 2.47 O c. 1.82 O d. None of these answers O e. 2.07
Assume a stock price is P120, and in next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6%. A call option on this stock has an exercise price of P130. What is the chance that the stock price will rise? a. 93% b. 87% c. 50% d. 94%
4. A stock is selling today for $100. The stock has an annual volatility of 45 percent and the annual risk-free interest rate is 12 percent. A 1 year European put option with an exercise price of $90 is available to an investor .a.Use Excel’s data table feature to construct a Two-Way Data Table to demonstrate the impact of the risk free rate of interest and the volatility on the price of this put option: i. Risk Free Rates of 5%, 7%, 9%, 12%, 15% and 18%. ii. Volatility of 35%, 45%, 55%, and 65%. b. How is the put option price impacted by varying the risk free rate of interest? c.How is the put option price impacted by varying the volatility?

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