HW4 2) You just bought a European call option with a strike of $25 for BAC...
HW4
2) You just bought a European call option with a strike of $25 for BAC stock that matures in 3 months. You paid a premium of $2.40. BAC standard deviation is current 20% and the stock is currently selling for $23.16. The current risk-free rate for the next three months is 1.25% per annum with continuous compounding. What is the price of a European put option on BAC with the same maturity and strike price as the call you bought?
(Looking for answer in Excel, work shown please)
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HW4
2) You just bought a European call option with a strike of $25
for BAC...
You just read that a 6-month European call option on Bent Inc. with a strike price...
You just read that a 6-month European call option on Bent Inc. with a strike price of $50 is selling for $6.31. The current stock price is $52.75 and its annual volatility is 10%. The current risk free rate for all periods up to a year is 8.25% per annum with continuous compounding. What is the value of the put with the same strike and expiration? A) $1.12 B) $1.54 C) $5.19 D) $5.67 E) $6.31
8) You just read that a 6-month European call option on Bent Inc. with a strike...
8) You just read that a 6-month European call option on Bent Inc. with a strike price of S50 is selling for $6.31. The current stock price is $52.75 and its annual volatility is 10%. The current risk free rate for all periods up to a year is 8.25% per annum with continuous compounding. What is the value of the put with the same strike and expiration? A) $1.12 B) $1.54 C) $5.19 D) $5.67 E) $6.31 Answer:
A European call option has a strike price of $20 and an expiration date in six...
A European call option has a strike price of $20 and an expiration date in six months. The premium for the call option is $5. The current stock price is $25. The risk-free rate is 2% per annum with continuous compounding. What is the payoff to the portfolio, short selling the stock, lending $19.80 and buying a call option? (Hint: fill in the table below.) Value of ST Payoff ST ≤ 20 ST > 20 How much do you pay...
Problem 12. A European call and put option on a stock both have a strike price...
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.
(i) The current stock price is 100. The call option premium with a strike price 100...
(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%...
g) European call with a strike price of $40 costs $7. European put with the same...
g) European call with a strike price of $40 costs $7. European put with the same strike price and expiration date costs $6. Assume that you buy two calls and one put (strap strategy). Sketch the graph and write down functions of payoff and profit h) Consider a stock with a price of $50 and there is European put option on that stock with the strike of $55 and premium of $4. Assume that you buy 1/3 of a stock...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months. (a) Calculate u and d for a one-step binomial tree. (b) Value the option using a non arbitrage argument. (c) Assume that the option is a put instead of a call. Value the option...
A 10-month European call option on a stock is currently selling for $5. The stock price...
A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. a) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how can...
A one-year European call option on Stanley Industries stock with a strike price of $55 is...
A one-year European call option on Stanley Industries stock with a strike price of $55 is currently trading for $75 per share. The stock pays no dividends. A one-year European put option on the stock with a strike price of $55 is currently trading for $100. If the risk-free interest rate is 10 percent per year, then what is the current price on one share of Stanley stock assuming no arbitrage?
1. A 10-month European call option on a stock is currently selling for $5. The stock...
1. A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. 1) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how...
8) You just read that a 6-month European call option on Bent Inc. with a strike price of S50 is selling for $6.31. The current stock price is $52.75 and its annual volatility is 10%. The current risk free rate for all periods up to a year is 8.25% per annum with continuous compounding. What is the value of the put with the same strike and expiration? A) $1.12 B) $1.54 C) $5.19 D) $5.67 E) $6.31 Answer:
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.
g) European call with a strike price of $40 costs $7. European put with the same strike price and expiration date costs $6. Assume that you buy two calls and one put (strap strategy). Sketch the graph and write down functions of payoff and profit h) Consider a stock with a price of $50 and there is European put option on that stock with the strike of $55 and premium of $4. Assume that you buy 1/3 of a stock...
Question 3 - 20 Points Consider a European call option on a non-dividend-paying stock where the stock price is $33, the strike price is $36, the risk-free rate is 6% per annum, the volatility is 25% per annum and the time to maturity is 6 months. (a) Calculate u and d for a one-step binomial tree. (b) Value the option using a non arbitrage argument. (c) Assume that the option is a put instead of a call. Value the option...
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