E3 3. [Put-Call Parity Condition] At date t, there is a European call option on the dollarwith a strike price of K = 0.75 and an expiration date of T >t and a European put%3Doption on the dollar with the same strike price and expiration date. Both are notionalone dollar (N = 1). The risk-free interest rate in the UK is r 1/5 (20%) and therisk-free interest rate in the US is r= 1/4 (25%). The current spot exchange rate isS, = 0.8 (that is, each dollar costs 80 pence).%3D(a) You buy the put option at the price of P, = 2.5 pence. Explain the position youhave at the expiration date T.(b) Five minutes later you find out that the equivalent call is trading at C, = 5 pence.You know the put-call parity condition for European options isS;(1+r) (1+r)"KC- P, =Identify an arbitrage opportunity. What position do you take? Explain all thecash flows at date t and at the expiration date T.

Put call parity With call price (c), put price (p), stock price (s), exercise price (k), risk free…

. [Put-Call Parity Condition] At date t, there is a European call option on the dollar with a strike price of K = 0.75 and an expiration date of T>t and a European put option on the dollar with the same strike price and expiration date. Both are notional one dollar (N=1). The risk-free interest rate in the UK is r = 1/5 (20%) and the risk-free interest rate in the US is = 1/4 (25%). The current spot exchange rate is

. [Put-Call Parity Condition] At date t, there is a European call option on the dollar with a strike price of K = 0.75 and an expiration date of T>t and a European put option on the dollar with the same strike price and expiration date. Both are notional one dollar (N=1). The risk-free interest rate in the UK is r = 1/5 (20%) and the risk-free interest rate in the US is = 1/4 (25%). The current spot exchange rate is

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter8: Relationships Among Inflation, Interest Rates, And Exchange Rates

Section: Chapter Questions

Problem 33QA

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2. Suppose the exchange rate of euro at current spot market is $1.25/€. If a call option has a strike price of $1.28/€ then we can say this option is a) inthemoney b) outofthemoney c) atthemoney d) past breakeven 3. Suppose the exchange rate of euro at current spot market is $1.25/€. If a put option has a strike price of $1.18/€ then we can say this option is a) inthemoney b) outofthemoney c) atthemoney d) past breakeven 4. According to our class discussion, suppose a U.S. based real estate developer is participating in a bid competition for a land in London. What of the followings can provide the best protection when Pound is expected to appreciate a) Call options b) buy futures c) sell forwards d) buy forwards 5. Which of following activities dominates foreign exchange transactions a) multinational corporations buying and selling foreign exchange b) importers and exporters buying and selling foreign exchange c) banks buying and selling foreign exchange d)…
Suppose the exchange rate of euro at current spot market is $1.25/€. If a put option has a strike price of $1.18/€ then we can say this option is a) inthemoney b) outofthemoney c) atthemoney d) past breakeven
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.
Consider a one period binomial model of a currency option on the dollar. Thecurrent (date t = 0) spot exchange rate is S0 = 75 pence per dollar. The spot rateat the end of the period will be either Su = 100 pence or Sd = 60 pence. The UKrisk-free interest rate over the period is rs = 1/3 (33.3333%) and the US risk-freerate of interest is rd = 1/4 (25%). There is a call option with a strike price ofK = 68 pence and a forward contract with a price of F = 80 pence. Show how touse the forward contract and the UK money market to replicate the payoffs to thecall option and hence, find the price of the call option.
Q1 Consider the option on currency HKD against the USD: • Current spot rate is HKD7.50 for 1 USD • Risk-free HKD rate of interest is 5% p.a. • Risk-free USD rate of interest is 2% p.a. • Volatility (σ) of the currency returns is 20% p.a. • Maturity of the option is 3 months. • Strike rate of the option is HKD8.00 for 1 USD • The currency options are European in nature Answer the following questions. (i) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model.
Q1 Consider the option on currency HKD against the USD: • Current spot rate is HKD7.50 for 1 USD • Risk-free HKD rate of interest is 5% p.a. • Risk-free USD rate of interest is 2% p.a. • Volatility (σ) of the currency returns is 20% p.a. • Maturity of the option is 3 months. • Strike rate of the option is HKD8.00 for 1 USD • The currency options are European in nature Answer the following questions. (i) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model. (ii) What is the minimum terminal exchange rate for the holder of the call-HKD option to profit from holding the currency option? (iii) How much does it cost to hold (i.e., buy) a put-HKD option? Do not use the Garman Kohlhagen model.
Question 1 Consider the option on currency HKD against the USD: Current spot rate is HKD7.50 for 1 USD:· Risk-free HKD rate of interest is 5% p.a.· Risk-free USD rate of interest is 2% p.a.· Volatility (σ) of the currency returns is 20% p.a.· Maturity of the option is 3 months.· Strike rate of the option is HKD8.00 for 1 USD· The currency options are European in nature (a) Draw the terminal payoff diagram for the holder of the currency call option on HKD. (b) Draw the terminal payoff diagram for the holder of the currency put option on USD. (c) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model. (d) What is the minimum terminal exchange rate for the holder of the call-HKD option to profit fromholding the currency option?…
Assume that interest rate parity holds. In the spot market1 Japanese yen = $0.009144, while in the 90-day forward market 1 Japanese yen = $0.009184. In Japan, 90-day risk-free securities yield 2%. What is the yield on 90-day riskfreesecurities in the United States?
Assume that interest rate parity holds and that 90-day risk-free securities yield 3% in the United States and 3.3% in Germany. In the spot market, 1 euro equals $1.50. What is the 90-day forward rate?
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.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.