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Consider a European put option on the stock of XYZ, with a strike price of $30...
5. Consider a European call option on the stock of XYZ, with a strike price of $25 and two months to expiration. The stock pays continuous dividends at the annual yield rate of 5%. The annual continuously compounded risk free interst rate is 11%. The stock currently trades for $23 per share. Suppose that in two months, the stock will trade for either S18 per share or $29 per share. Use the one-period binomial option pricing model to find today's...
You purchase a European put option on XYZ stock with strike price 50. What is the payoff to the option if XYZ stock is trading at 48 on the expiration day? You purchase a 1-year European call option on ABC stock with strike price 100. The option premium is $10. The effective annual interest rate is 10%, so that 100 dollars lent for 1 year will return 110 dollars. What is the PROFIT if ABC stock is trading at 111...
1. Consider the following information about a European call option on stock ABC: . The strike price is S100 The current stock price is $110 The time to expiration is one year The annual continuously-compounded risk-free rate is 5% ·The continuous dividend yield is 3.5% Volatility is 30% . The length of period is 4 months. Find the risk-neutral probability p*. Hint: 45.68%
Problem 12. A European call and put option on a stock both have a strike price of $30 and an expiration date in three months. The price of the call is $3, and the price of the put is $2.25. The risk free interest rate is 10% per annum, the current stock price is $31. Indentify the arbitrage opportunity open to a trader.
Question 7: Consider a European call option and a European put option on a non dividend-paying stock. The price of the stock is $100 and the strike price of both the call and the put is $103, set to expire in 1 year. Given that the price of the European call option is $10.57 and the risk-free rate is 5%, what is the price of the European put option via put-call parity? Question 8: Suppose a trader buys a call...
A European call option and put option on a stock both have a strike price of $45 and an expiration date in six months. Both sell for $2. The risk-free interest rate is 5% p.a. The current stock price is $43. There is no dividend expected for the next six months. a) If the stock price in three months is $48, which option is in the money and which one is out of the money? b) As an arbitrageur, can...
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
The price of a European call option on a non-dividend-paying stock with a strike price of $50 is $6. The stock price is $51, the continuously compounded risk-free rate (all maturities) is 6% and the time to maturity is one year. What is the price of a one-year European put option on the stock with a strike price of $50? $2.09 $7.52 $3.58 $9.91
Problem 1: - Using the Black/Scholes formula and put/call parity, value a European put option on the equity in Amgen, which has the following characteristics. Expiration: Current stock price of Amgen: Strike Price: Volatility of Amgen Stock price: Risk-free rate (continuously compounded): Dividends: 3 months (i.e., 60 trade days) $53.00 $50.00 26% per year 2% None If the market price of the Amgen put is actually $2.00 per share, is the above estimate of volatility higher or lower than the...