A put option with an exercise price of $65 will expire in 180 days. The underlying asset price of today is $173. The underlying asset price at expiration is $166. The risk-free rate is 2%, What is the lower bounds for an European put?
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- European put and call options both have an exercise price of GH¢50 that expires in 120 days.The underlying asset is priced at GH¢52 and makes no cash payments during the life of theoption. The risk-free rate is 4.5%. Find the price of the call option.Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset.Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset.
- Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black model, calculate the price of a put option on a forward contract.Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. A. Using the Black model, calculate the price of a call option on a forward contract. B. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset. Should this pricing be any different from the one calculated in letter A? Explain your answer. C. Using the Black model, calculate the price of a put option on a forward contract. D. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset. Should this pricing be any different from the one calculated in letter C? Explain your answer.Suppose a European call option on a sack of corn with a strike price of $50 and a maturity of one-month, trades for $5. What is the price of the put premium with identical strike price and time until expiration, if the one-month risk-free rate is 2% and the spot price of the underlying asset is $53?
- Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33.A. Using the Black model, calculate the price of a call option on a forward contract.B. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset. Should this pricing be any different from the one calculated in letter A? Explain your answer.C. Using the Black model, calculate the price of a put option on a forward contract.D. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset. Should this pricing be any different from the one calculated in letter C? Explain your answer.The price of one-year and two-year European put option with strike price $100 are $10 and $4 respectively. The term-structure of interest rate is 10%. Is there any arbitrage opportunity? If yes, perform the arbitrage.If the spot price is 86.5BDT/US$ and the 3 months European put option exercise price is 87.75BDT/US$. If our interest rate is 9% and U.S. interest rate is 3% and given the volatility σ is 18.1%, what should be the price of this European put option?
- 5. The European call option on Asset Q that expires in one year has strike price $32 and option price $4. The forward price of Asset Q in one year is $36. The annual continuously compounded interest rate is 0.08. Find the price of the put option on Asset Q with strike price of $32.What is the risk-neutral valuation of a six-month European put option to sell a security for a price of 100 when the current price is 105, the interest rate is 10%, and the volatility of the security is .30?The market price of a 1000-share European put option contract is $6200. The expiration date of the put option is one year from today. On that date, the price of the underlying stock will be either $50 or $32. The two states are equally likely to occur. Currently, the stock sells for $40; its strike price is $42. Suppose you are able to borrow money at 10% annual rate. Is there an arbitrage chance? How can you earn risk-free profit?