5. You own a call option on the stock with current price So = 4, the...
5. You own a call option on the stock with current price So = 4, the "up factor" u = 2. the ..down factor, d-1/2, the risk-free interest rate r-1/4 and the strike price K-5. You paid the risk-neutral price of $1.20 for this option, and you want to hedge your position (i.e. reduce your risk) so that you end up with $1.50, (as if you had invested $1.2 at the risk free rate) regardless of whether H or T...
You own a call option on the stock with current price So-4, the "up factor, u = 2, the "down factor" d-1/2, the risk-free interest rater-1/4 and the strike price K 5. You paid the risk-neutral price of $1.20 for this option, and you want to hedge your position (i.e. reduce your risk) so that you end up with $1.50, (as if you had invested $1.2 at the risk free rate) regardless of whether H or T occurs. Assume that...
5. You own a call option on the stock with current price So = 4, the "up factor"u 2, the "down factor" d-1/2, the risk-free interest rater 1/4 and the strike price K = 5, You paid the risk-neutral price of $1.20 for this option, and you want to hedge your position (i.e. reduce your risk) so that you end up with $1.50, (as if you had invested S1.2 at the risk free rate) regardless of whether H or T...
a) You have written a call option on 1 share of A Street stock that is worth $15. You expect the price of the stock to either move to $20 or $10 over the next year. How many shares of A Street stock should you own to perfectly hedge your position on the call option? The strike price on the option is $15. b) If the one-year risk-free interest rate is 10% and the strike price on the option is...
(i) The current stock price is 100. The call option premium with a strike price 100 is 8. The effective risk-free interest rate is 2%. The stock pays no dividend. What is the price of a put option with strike price 100? (Both options mature in 3 months.) (ii) The 3-month forward price is 50. The put option premium with a strike price 52 is 3 and the put option matures in 3 months. The risk-free interest rate is 4%...
Assume that the stock price is $56, call option price is $9, the put option price is $5, risk-free rate is 5%, the maturity of both options is 1 year , and the strike price of both options is 58. An investor can __the put option, ___the call option, ___the stock, and ______ to explore the arbitrage opportunity. A. sell, buy, short-sell, borrow B. buy, sell, buy, borrow C. sell, buy, short-sell, lend D. buy, sell, buy, lend
4. A call option currently sells for $7.75. It has a strike price of $85 and seven months to maturity. A put with the same strike and expiration date sells for $6.00. If the risk-free interest rate is 3.2 percent, what is the current stock price? 5. Suppose you buy one SPX call option contract with a strike of 1300. At maturity, the S&P 500 Index is at 1321. What is your net gain or loss if the premium you...
The current stock price is 100. The call option premium with a strike price 100 is 8. The effective risk-free interest rate is 2%. The stock pays no dividend. What is the price of a put option with strike price 100? (Both options mature in 3 months.)
Consider the following call option: The current price of the stock on which the call option is written is $32.00; The exercise or strike price of the call option is $30.00; The maturity of the call option is .25 years; The (annualized) variance in the returns of the stock is .16; and The risk-free rate of interest is 4 percent. Use the Black-Scholes option pricing model to estimate the value of the call option.
A stock price is currently $20. It is known that at the end of one month that the stock price will either increase to 22 or decrease to 16. The risk-free interest rate is 12% per annum with continuous compounding. The hedge portfolio is a long position in Δ shares of stock plus one short Euorpean call option with strike price of $20 and expiration in 1 month. Using the no-arbitrage method, what is the present value of this hedge...