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

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

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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Write and describe the Black-Scholes formulas for pricing European call and put options. The stock price three months from the expiration of an option is R1040, the exercise price of the option is R1000, the risk-free interest rate is 11% per annum, and the volatility is 22% per annum. Calculate the prices of European call and put options.
Suppose we wish to borrow $10 million for 91 days beginning next June, and that the quoted Eurodollar futures price is 93.23. What 3-month LIBOR rate is implied by this price? How much will be needed to repay the loan? Show work and discuss result.
Suppose the European call and put options with strike price $20 and maturity date in 1 month cost $2.0 and $1.0, respectively. The underlying stock price is $18 and the risk-free continuously compounded interest rate is 8%. (a) Is there an arbitrage opportunity? (b)If yes, how would you implement arbitrage opportunity?
Suppose the September Eurodollar futures contract has a price of 96.4. You plan to borrow $50m for 3 months in September at LIBOR, and you intend to use the Eurodollar contract to hedge your borrowing rate. a. What rate can you secure? b. Will you be long or short the Eurodollar contract? c. How many contracts will you enter into? d. Assuming the true 3-month LIBOR is 1% in September, what is the settlement in dollars at expiration of the futures contract? (For purposes of this question, ignore daily marking-to-market on the futures contract.)
d) A stock price is currently £10. It is known that at the end of the month it will be either £15 or £9. We assume the risk-free interest rate is r 0. Using the idea of pricing by the absence of arbitrage find the value of a one-month European call option with a strike price of £13.
A Futures price is currently €80. Over each of the next two 3 month periods it will rise or fall by 10%. The risk free rate is 8% p.a. (i)Using replicating portfolio techniques, find the value of a 6 month European call option on the futures with strike €80. (ii)Verify your answer using risk-neutral valuation. (iii) Would your answer change if the call was American? is this question valued as a future or a call option ? As in which Formula
A Futures price is currently €80. Over each of the next two 3 month periods it will rise or fall by 10%. The risk free rate is 8% p.a. (i)Using replicating portfolio techniques, find the value of a 6 month European call option on the futures with strike €80. (ii)Verify your answer using risk-neutral valuation. (iii) Would your answer change if the call was American?
Consider the call-put pair with strike price 407 and February maturity. Use the put-call parity formula to compute the price of a zero-coupon bond expiring in February. Use the data in Table 2. Please show your calculations. Discuss your result. You also observe the following market for European Call and Put options on the S&P 500 ETF: Today: 10th January 2023 Spot index level: 407 see image attached
Suppose that the September 90-day Eurodollar futures contract has a price of $96.4 today. A firm expects to borrow $50 million for 3 months in September at the LIBOR, and intends to use the Eurodollar futures contract to hedge its future borrowing rate. a) What rate can the firm secure today by using the Eurodollar contract? b) Will the firm go long or short the Eurodollar contract? How many contracts will it buy/sell? c) Suppose that the spot 3-month LIBOR is 4% (annualized) in September. Explain how the firm met its objective of locking in a return on its future borrowing.
A Futures price is currently €80. Over each of the next two 3 month periods it will rise or fall by 10%. The risk free rate is 8% p.a. (i)Using replicating portfolio techniques, find the value of a 6 month European call option on the futures with strike €80. (ii)Verify your answer using risk-neutral valuation. (iii) Would your answer change if the call was American? Why does part i and ii have different answers in the uploaded solution? If the question is asking to verify it should have the samer answer
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
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

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