Question

In: Finance

​Eagletron's current stock price is $10. Suppose that over the current​ year, the stock price will...

​Eagletron's current stock price is $10.

Suppose that over the current​ year, the stock price will either increase by 95%

or decrease by 45%.

​Also, the​ risk-free rate is

25 %25%

​(EAR).

a. What is the value today of a​ one-year at-the-money European put option on Eagletron​ stock?

b. What is the value today of a​ one-year European put option on Eagletron stock with a strike price of

$ 19.50$19.50​?

c. Suppose the put options in parts

​(a​)

and

​(b​)

could either be exercised​ immediately, or in one year. What would their values be in this​ case?

Solutions

Expert Solution

AT THE MONEY

STRIKE PRICE 19.5

Since these are European options, these cannot be exercised immediately,


Related Solutions

​Eagletron's current stock price is $ 10 $10. Suppose that over the current​ year, the stock...
​Eagletron's current stock price is $ 10 $10. Suppose that over the current​ year, the stock price will either increase by 95 % 95% or decrease by 57 % 57%. ​Also, the​ risk-free rate is 25 % 25% ​(EAR). a. What is the value today of a​ one-year at-the-money European put option on Eagletron​ stock? b. What is the value today of a​ one-year European put option on Eagletron stock with a strike price of $ 19.50 $19.50​? c. Suppose...
Suppose the current stock price is $120 and the stock price in a year can be...
Suppose the current stock price is $120 and the stock price in a year can be either $150 or $100. The risk-free rate is 2% per year, compounded annually. Compute the price of a European put option that expires in a year. The strike price is K=$130 (Hint: This is a put option case, not a call option. Be careful when you compute the cash-flow at expiration date. All other calculations should be the same as call option case.)
Suppose that the current stock price of Land's Outdoors is $55 per share. Over the next...
Suppose that the current stock price of Land's Outdoors is $55 per share. Over the next year you expect the following: State of Land's Probability Dividend @ year-end Stock Price @ year-end Expansion 25% $3 $70 Neutral 40% $1 $60 Contraction 35% $0 $45 What is the expected return on Land's over the next year? What is the expected risk, as measured by standard deviation, of an investment in Land's over the next year? (Do not round intermediate calculations. Round...
The current price of a non-dividend-paying stock is $80. Over the next year it is expected...
The current price of a non-dividend-paying stock is $80. Over the next year it is expected to rise to $86 or fall to $76. An investor buys put options with a strike price of $82. Which of the following is necessary to hedge the position? Select one: a. Buy 0.6 shares for each option purchased b. Sell 0.6 shares for each option purchased c. Buy 0.8 shares for each option purchased d. Sell 0.8 shares for each option purchased
The current price of a non-dividend-paying stock is $80. Over the next year it is expected...
The current price of a non-dividend-paying stock is $80. Over the next year it is expected to rise to $92 or fall to $79. Assume the risk free rate is 5%. An investor buys a put option with a strike price of $84. What is the value of the option today? How would the investor hedge the put option position? Assume that the option is written on 100 shares of stock.
Suppose the current stock price (P0) is US$45. A one year call option on the stock...
Suppose the current stock price (P0) is US$45. A one year call option on the stock with an exercise price € of US$35. A call option was brought which will expire in 6 months. The standard deviation of the stock price returns is 20%. The risk-free rate of return is 4% per annum. Use the above data to calculate the price of the call option using the black and Scholes model.
suppose that the stock price $32, the risk-free interest rate is 10% per year the price...
suppose that the stock price $32, the risk-free interest rate is 10% per year the price of a 4 month european call option is $2.85, and the price of a 4 month european put option is $2.65. both options have the strike price $35. describe an arbitrage strategy and justify it with appropriate calculations.
suppose the current share price of dimension stock is $46. one year from now, this this...
suppose the current share price of dimension stock is $46. one year from now, this this stock will sell for either $38 or $52 a share. T-bills currently yield 3.3 percent. what is the per share value of dimension call option if the exercise is $40 per share and the expiration is one year from now?
The current price of stock XYZ is 100. In one year, the stock price will either...
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...
Suppose that the current market price of the stock of Company X is $ 872. Suppose...
Suppose that the current market price of the stock of Company X is $ 872. Suppose that you expect that the news release by Company X will cause at least ca 10% movement in the market price of its stock by Dec. 4th, 2020. However, you are not sure whether there will be a downward adjustment or an upward adjustment of the market price. Describe briefly a trading strategy involving call and (or) put options that accounts for this expectation....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT