Assume the risk-free rate is 3% and will remain so for all time. Facebook (FB) currently trades at $120. You purchase a 1-year European $5-strike call options on a short futures contract one share of FB. The futures delivery date is 2.5 years from now and the delivery price is $130. Compute the range of price of FB in one year from now that will make you want to exercise your option.
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Assume the risk-free rate is 3% and will remain so for all time. Facebook (FB) currently...
(11 Suppose that Facebook stock is currently priced at $170 per share and you have bought a put option with the strike price at $150 per share. The option premium is $10. The intrinsic value of your option is A) -$10. B) $0. C) $10. D) $20. One share of General Electric stock is priced at $10 today. Both options below are on General Electric stock and expire in 3 months. Option A Option B Type Call option Put option...
Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a long position in Apple (ticker: AAPL). You want to protect your long position against losses and decide to buy a European put option on AAPL with a strike price of $180.15 and an expiration date of 1-year from today. The continuously compounded risk free interest rate is 8% and the stock pays no dividends. The current stock price for AAPL is $200 and its...
1. (Put-call parity) A stock currently costs So per share. In each time period, the value of the stock will either increase or decrease by u and d respectively, and the risk-free interest rate is r. Let Sn be the price of the stock at t n, for O < n < V, and consider three derivatives which expire at t- N, a call option Vall-(SN-K)+, a put option Vpul-(K-Sy)+, ad a forward contract Fv -SN -K (a) The forward...
Problem1 A stock is currently trading at S $40, during next 6 months stock price will increase to $44 or decrease to $32-6-month risk-free rate is rf-2%. a. [4pts) What positions in stock and T-bills will you put to replicate the pay off of a European call option with K = $38 and maturing in 6 months. b. 1pt What is the value of this European call option? Problem 2 Suppose that stock price will increase 5% and decrease 5%...
1. (Put-call parity) A stock currently costs So per share. In each time period, the value of the stock will either increase or decrease by u and d respectively, and the risk-free interest rate is r. Let Sn be the price of the stock at t-n, for O < n < N, and consider three derivatives which expire at t - V, a cal option Voll-(SN-K)+, a put option VNut-(X-Sy)+, and a forward option VN(SN contract FN SN N) ,...
QUESTION 1 Today you are writing a put option on TSLA stock, which is currently valued at $200 per share. The put option has a strike price of $178, 6 months to expiration, and currently trades at a premium of $6.1 per share. If at maturity the stock is trading at $164, what is your net profit on this position? Keep in mind that one option Covers 100 shares. QUESTION 2 Today you go long on 5 December contracts of...
. The spot price per share is $115 and the risk free rate is 5% per annum on a continuously compounded basis. The annual volatility is 20% and the stock does not pay any dividend. All options have a one-year maturity. In answering the questions below use a binomial tree with three steps. Each step should be one-third of a year. Show your work. 1.Using the binomial tree, compute the price at time 0 of a one-year European call option...
A) The spot price of the British pound is currently $2.00. If the risk-free interest rate on 1-year Government bonds is 4% in the United States and 6% in the United Kingdom, what must be the forward price of the pound for delivery 1 year from now? B) Assume that the spot price of gold is $1,500 per troy ounce, the risk-free interest rate is 2%, and storage and insurance costs are zero. 1) What should be the forward price...
A stock is currently priced at $75.00. The risk free rate is 4.5% per annum with continuous compounding. Use a one-time step Cox-Ross-Rubenstein model for the price of the stock in 13 months assuming the stock has annual volatility of 24.9%. Compute the price of a 13 month call option on the stock with strike $80.00.
Suppose you have just purchased one share of Proctor & Gamble stock (PG) for $123. You have forecasted that in one year the stock price will either rise to $140 or fall to $108 Suppose further that you can either buy or sell a call option on PG stock with a strike price of $120. Assume that this is a European style contract that expires exactly in one year and that the risk-free interest rate is 2.8% (a) Calculate the...