The exchange rate is ¥99/€, the yen-denominated interest rate is 1.5%, the euro- denominated interest rate is 3.5%, and the exchange rate volatility is 10%. Based on the Black-Scholes option pricing model, what is N(d1) when computing the price of a 90-strike yen-denominated euro call with 6 months to expiration? 0.744911 0.829755 0.892849 0.639698 0.721683

The exchange rate is ¥99/€, the yen-denominated interest rate is 1.5%, the euro- denominated interest rate is 3.5%, and the exchange rate volatility is 10%. Based on the Black-Scholes option pricing model, what is N(d1) when computing the price of a 90-strike yen-denominated euro call with 6 months to expiration? 0.744911 0.829755 0.892849 0.639698 0.721683

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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What is the appropriate risk-free rate on May 11, 2022 for an option that expires on Oct 20, 2022 if the T-bill with closest maturity is quoted as 3.65/3.44? a. What is the un-annualized discount rate? Round your answer to two decimals. b. What is the T-bill price? Round your answer to two decimals b . What is the approximate risk-free rate? % Round your answer to two decimals
Assume spot rate for Euro is $1.1900 and the three-month forward rate is $1.1710. What is the minimum price that a six-month American put option with a striking price of $1.220 should sell for in a rational market? Assume the annualized six-month Euro rate is 0.5 percent. O $0.0489 O $0 O $0.0300 $0.0389
A) It is now January. The current interest rate is 5% per annum annual compounding. The June future price for gold is $1846.30, while the December future rice is $1860.00. Find a strategy to explore the arbitrage opportunity. B) Suppose that the spot price of the euro is currently $1.5 USD. The one-year futures price is $1.55 USD. Is the interest rate higher in the United States or the euro zone? Justify your answer. C) OneAsx has just introduced a single-stock futures contract on Arandex stock, a company that currently pays no dividends. Each contract calls for delivery of 1,000 shares of stock in one year. The T-bill rate is 6% per year annually compounded and Arandex stock currently sells at $120 per share. If the Arandex price drops by 3%, what will be the change in the future price and the change in the investors’ margin account who has a long position in one contract?
Assume the spot Swiss franc is $0.7040 and the six-month forward rate is $0.7030. What is the Value of a six-month call and a put option with a strike price of $0.6840 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.50 percent. Assume the annualized volatility of the Swiss franc is 14.20 percent. Use the European option-pricing models to value the call and put option. This problem can be solved using the FXOPM.xls spreadsheet. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Option Call Put Value cents cents
Assume the spot Swiss franc is $0.7045 and the six-month forward rate is $0.7040. What is the Value of a six-month call and a put option with a strike price of $0.6845 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.50 percent. Assume the annualized volatility of the Swiss franc is 14.20 percent. Use the European option-pricing models to value the call and put option. This problem can be solved using the FXOPM.xls spreadsheet. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Option Call Put Value cents cents
Let's assume today is Feb 15, 2020 and call and put options for 10,000 euros at $1.3700 per euro are traded on the London International Financial Futures Exchange (LIFFE). The options' expiration date is July 30, 2020. If the dollar interest rate is 5%, the euro interest rate is 4.5% and the volatility of the euro is 6%, what should be the price of a call and a put? The current exchange rate is $1.3786 per euro. Call price Put price
4. An American put option to sell a British pound for dollars has a strike price of $1.5 and a time to maturity of 1 year. The volatility of the pound/dollor exchange rate is 15% per annum, the dollar interest rate is 6%, the British pound interest rate is 7%, per annum, and the current exchange rate is 1.52. Use a three-step binomial tree to value the option.
12. Let the current spot rate be 1.21 Sf/$. Let the exercise price be 1.20 $/€. Let the volatility of the swiss franc be 0.26. The time to expiration is 3 months. The US rate is 2% and the swiss rate is 4%.18. What is the delta of the call?19. What is the value of the call?20. What is its time value?21. What is the value of the corresponding put?
A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.
Suppose we wish to borrow $10 million for 3 months, and that the quoted Eurodollar futures price is 94.80. If the interest rate on the loan is based on the 3-month LIBOR rate, what will we pay to repay the loan (that is, the total amount we need to repay including principal and interest based on LIBOR)? Question 16 options: $10, 160, 000.00 $10, 130,000.00 $10, 115,000.00 $10, 640,000.00 $10,520,000.00
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 $1.50. What is the 90-day forward rate?
5. Suppose that the exchange rate is €0.80/$. A 2-year euro-denominated European call option on dollars with a strike of €0.90 sells for €0.10. The continuously compounded risk-free interest rate on euros is 2.5% and the continuously compounded risk-free interest rate on dollars is 2%. Calculate the price of a 2-year euro-denominated European put option on dollars with a strike of C0.90.

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