luate the terminal value of the following portfolio: a newly entered-into long forward contract on an asset and a long position in a European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up. Prove that the European put option has the same value as a European call option with the same strike price and maturity. Illustrate your answer with figure

luate the terminal value of the following portfolio: a newly entered-into long forward contract on an asset and a long position in a European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up. Prove that the European put option has the same value as a European call option with the same strike price and maturity. Illustrate your answer with figure

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter5: Currency Derivatives

Section: Chapter Questions

Problem 6BIC

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Consider the following portfolio: a newly entered-into long forward contract on an asset and a long position in a European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up. Show that it has the same value as a European call option with the same strike price and maturity as the European put option. Deduce that a European put option has the same value as a European call option with the same strike price and maturity when the strike price for both options is the forward price.
Describe the terminal value 1of the following portfolio: a newly entered-into long forward contract on an asset and a long position in a European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up. Show that the European put option has the same value as a European call option with the same strike price and maturity.
Describe the profit from the following portfolio: a long forward contract on an asset and a long European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up.Explain it
Describe the profit from the following portfolio: a long forward contract on an asset and a long European put option on the asset with the same maturity as the forward contract and a strike price that is equal to the forward price of the asset at the time the portfolio is set up.Plz explain it properly
Consider a firm in the DC that uses inputs from a supplier in the FC. To hedge the FX risk the FC firm could (select all that are true): A.Purchase a futures contract for DC to FC below your expected future trajectory of the FX rate and that the supply cotract is written in the DC B.Purchase a call option for FC to DC, which the firm will exercise if the spot FX rate (FC/DC) at the time is higher than the contract rate and the supply contract is written in the DC. C.Purchase a futures contract for FC to DC that you could sell for a profit if the DC weakens, which increases your costs of exporting the input D.Engage in a forward contract for DC to FC at today's spot rate, given that counter-party risk is managable and that the supply contract can be written in the DC. E.Exercise a futures contract for DC to FC if the strike price of the contract (FC/DC) is higher than the spot market rate at that time and that the supply contrtact can be written in the DC. F.Purchase a call option…
Which of the following statements about European option contracts is TRUE? a. Typically American options are cheaper than otherwise similar European options due to the uncertainty regarding the date of exercise. b. One can synthesise a long forward position in the underlying by being long a call and short a put c. A long call position and a short put position both involve buying the underlying and so are equivalent d. The price of an option can be obtained by computing the true probabilities of each state of nature, working out the expected option payoff across those states and then discounting back to the present.
a)analyze and discuss the following factors on a European call option: time to expiration, exercise price, interest rate, volatility, and dividends. b) identify, analyze, and discuss the following characteristics of a European put option: maximum value, intrinsic value, time value, lower bound, and payoff at expiration. c) analyze and discuss the following factors on a European put option: time to expiration, exercise price, interest rate, volatility, and dividends. d) discuss the relationship between American and European option prices. e) derive the put-call parity and discuss its implications. f) discuss the characteristics of a currency option.
State and prove the Put-Call Parity Theorem that gives the relation between a European Call and a Put option price where the options are written on the same stock, same time to maturity and have the same exercise price.
i)identify, analyze and discuss the following characteristics of an American put option: maximum value, intrinsic value, time value, lower bound, and payoff at expiration. ii) analyze and discuss the following factors on an American put option: time to expiration, exercise price, interest rate, volatility, and dividends. iii) identify, analyze, and discuss the following characteristics of a European call option: maximum value, intrinsic value, time value, lower bound, and payoff at expiration. iv) analyze and discuss the following factors on a European call option: time to expiration, exercise price, interest rate,
A trader buys a six-month European call option and sells a six-month European put option. The options have the same underlying asset and the same strike price K. Can you identify a forward contract that has the same payoff as the trader’s combined options position? Under what circumstances does the price of the call equal the price of the put? (HINT: In answering these questions you may find it helpful to draw charts of the payoffs or profits of the two positions.)
State whether the following statements are true or false. In each case, provide a brief explanation. a. In a risk averse world, the binomial model states that, other things being equal, the greater the probability of an up movement in the stock price, the lower the value of a European put option. b. By observing the prices of call and put options on a stock, one can recover an estimate of the expected stock return. c. An investor would like to purchase a European call option on an underlying stock index with a strike price of 210 and a time to maturity of 3 months, but this option is not actively traded. However, two otherwise identical call options are traded with strike prices of 200 and 220 respectively, hence the investor can replicate a call with a strike price of 210 by holding a static position in the two traded calls. d. In a binomial world,if a stock is more likely to go up in price than to go down, an increase in volatility would increase the price of a call option and reduce…
26. Suppose an investor buy a European call option at price c, K is the strike price and ST is the spot price of the asset at maturity of the contract, when ( ),the investor will exercise the option.