Do not use chatgpt . AT9. A trader buys one European call option contract with a strike price of $30 and atime to maturity of one year. The call option price is $3. If the trader exercises the calloption when the price of the underlying asset is $32 in one year. What is the trader'sgain or loss?(a) gain=100(b) gain=200(c) loss=100(d) loss=300

Variables in the question:Cost of call option =$3Strike price=$30n=1 yearPrice in one year=$32Assume…

Answered: 9. A trader buys one European call…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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?
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.
An investor enters a three-year swap contracts bypaying fixed price and receive spot price of Applesstock at the end of each year. The spot price ofApple's stock is Ș515 now, and the risk-free rate is3%.a. Draw the synthetic forwards contracts tomimicking this swap contract.o. Compute the rational fixed price based onarbitrage-free principal
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.
Suppose that a 6-month European call option, with a strike price of K = $85, has a premium of $2.75. The underlying asset pays a continuous dividend with rate 10% per annum. The futures price for a 6-month contract is worth $75 and the risk-free rate r = 5% per annum %3D compounded continuously. Find the price of a 6-month European put option written on the same underlying asset and with the same strike price.
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.
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.
A trader creates a LONG STRADDLE for GBP/USD with a strike price of 1.2457. The call option premium on GBP is 0.017 USD. The put option premium is 0.022 USD. One option contract represents GBP 125,000. What is the net profit of the trader if GBP/USD = 1.2427 at expiry?
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?
A trader creates a SHORT STRADDLE for GBP/USD with a strike price of 1.3865. The call option premium on GBP is 0.019 USD. The put option premium is 0.024 USD. One option contract represents GBP 125,000. What is the net profit of the trader if GBP/USD = 1.3869 at expiry?
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A European put option on a barrel of crude oil with a strike price of $50 and a maturity of one-month, trades for $3.0. What is the price of the call 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 $52? NAME TYPE STRIKE PRICE PRICE AT EXPIRATION DATE A PUT 100 115 B CALL 100 95 C PUT 80 70 D CALL 80 95 A. Which of the following options are in the money? B. Which of the following options are out of the money? C. What is the intrinsic value of the C option? D. What is the upper bound and lower bound of the B option above?

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