Question

In: Finance

What is the value of an option on a risk-free asset? Specifically, consider a European put...

What is the value of an option on a risk-free asset? Specifically, consider a European put option with one year to expiration and strike price of $110 written on a one-year zero coupon bond with face value $100 and yield-to-maturity 2%. What will be the option premium today (P_0)? (After you answer this question, consider whether an option on a risky asset will have a higher or lower premium, all else equal.)

  • A. It's P_0 = 110-100 = 10.
  • B. It's P_0 = 110-100/1.02 = 12.
  • C. It's P_0 = (110-100)/1.02 = 9.8.
  • D. It's P_0 = 100-100/1.02 = 2.

Solutions

Expert Solution

SEE THE IMAGE. ANY DOUBTS, FEEL FREE TO ASK. THUMBS UP PLEASE

ANSWER : C


Related Solutions

Consider a European call option and a put option on a stock each with a strike...
Consider a European call option and a put option on a stock each with a strike price of K = $22 and each expires in six months. The price of call is C = $3 and the price of put is P = $4. The risk free interest rate is 10% per annum and current stock price is S0 = $20. Show how to create an arbitrage strategy and calculate the arbitrage traders profit.
A. What is Price of a European Put option? B. Price of a European Call option?...
A. What is Price of a European Put option? B. Price of a European Call option? Spot price = $60 Strike Price = $44 Time to expiration = 6 months Risk Free rate = 3% Variance = 22% (use for volatility) Show steps/formula
What is the price of a European put for Stock at 50, strike at 50, Risk-Free...
What is the price of a European put for Stock at 50, strike at 50, Risk-Free 10%, Volatility at .85 Time at .4167 Pick the closest value? A. 12.34 B. 24.39 C. 10.10 D. 8.94
​​​​​​ ​​​​​​​ The value of a European put option must satisfy the following restriction: ??0 ≥????−????...
​​​​​​ ​​​​​​​ The value of a European put option must satisfy the following restriction: ??0 ≥????−???? −??0 where ??0 is the current put price, ??0 is the current price of the underlying stock, ?? is the exercise price, ?? > 0 is the annualised continuously compounded risk-free rate, and ?? is the time till expiration. Prove by contradiction that the above arbitrage restriction must hold, i.e. show that if the condition does not hold, there is an arbitrage opportunity
Consider a European put option on AAPL stock with a strike of 300 that expires on...
Consider a European put option on AAPL stock with a strike of 300 that expires on 9/18/20. As of close on 4/27, the spot price is 283.17 and the option premium is 25.90. [5] What is the current intrinsic and extrinsic value of this option? [10] If spot interest rates for a bond expiring on 9/18/20 is 0.5% annually, what should be the price of a call option with the same strike and expiration? [5] What is the Black-Scholes-implied volatility...
Consider a European put option on a share of a company. The strike price is 50....
Consider a European put option on a share of a company. The strike price is 50. The investors pays an option premium of 10. If the payoff for the investor (not taking into account the option premium) is 10, then what is the profit of the option writer (taking everything into account)? Please leave answer to 4 decimal places
Consider a European put option on AAPL stock with a strike of 300 that expires on...
Consider a European put option on AAPL stock with a strike of 300 that expires on 9/18/20. As of close on 4/27, the spot price is 283.17 and the option premium is 25.90. a. What is the current intrinsic and extrinsic value of this option? b. If spot interest rates for a bond expiring on 9/18/20 is 0.5% annually, what should be the price of a call option with the same strike and expiration? c. What is the Black-Scholes-implied volatility...
Consider a European put option on a share of a company. The strike price is 50....
Consider a European put option on a share of a company. The strike price is 50. The investors pays an option premium of 10. If the payoff for the investor (not taking into account the option premium) is 10, then what is the profit of the option writer (taking everything into account)?
Calculate the value of an 8-month European put option on a currency with a strike price...
Calculate the value of an 8-month European put option on a currency with a strike price of 0.60. The current exchange rate is 0.62, the volatility of the exchange rate is 14%, the domestic and foreign risk-free interest rates are 3% and 5% respectively.
Use the Black-Scholes model to find the value for a European put option that has an...
Use the Black-Scholes model to find the value for a European put option that has an exercise price of $62.00 and four months to expiration. The underlying stock is selling for $63.50 currently and pays an annual dividend of $2.07. The standard deviation of the stock’s returns is 0.24 and risk-free interest rate is 5.5%. (Round intermediary calculations to 4 decimal places. Round your final answer to 2 decimal places.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT