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
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- Suppose you observe the following one-year interest rates, spot exchange rates and futures prices. Futures contracts are available on €10,000. How much risk-free arbitrage profit could you make on one contract at maturity from this mispricing? Exchange Rate Interest Rate APR So($/EL F380(S/E) $1.45 €1.00 is 4% $1.48 = €1.00 3% (Note: If you are unable to view the image shown above, you can download it: interestTable.PNG) O $159.22. O $153.10. $439.42. Onone of the options.Suppose a European call option to buy 1 euro for 1.40 CAD costs 0.08 CAD. The option maturity is in two months and the forward exchange rate for the same maturity is 1.50 CAD per euro. What arbitrage opportunity exists? Explain how you can exploit this opportunity and how much the profit is. (Ignore the time value of money)5. Suppose that the exchange rate is €0.80/$. 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.
- Suppose that you are a swap bank and you notice that interest rates on coupon bonds are as shown. Develop the 3-year bid price of a euro swap quoted against flat USD LIBOR. The current spot exchange rate is $1.50 per €1.00. The size of the swap is €40 million versus $60 million. Rates USD Euro In other words, what will you be willing to pay in euro against receiving USD LIBOR? O 6 percent O5 percent none of the options 3-year $ 7% € 5% 7 percent3. You are to receive €400,000 in 90 days. a) Demonstrate how you would set up an options hedge. b) If the spot rate in 90 days is $1.10/€1.00. You receive the €400,000 and you exchange the euros into dollars. What is the net amount of dollars you receive and what is the dollar/euro exchange rate for the €400,000?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
- Suppose that the 90-day forward rate is $1.17/€, the current spot rate is S1.20/€, and you expect the future spot rate in 90 days to be S1.21/€. If the standard deviation of the 90-day rate of appreciation of the euro relative to the dollar is 2% (in terms of the current spot rate), what range covers 95.46% of your possible profits and losses (assume a normal distribution on the future spot rate)? O a. [-S0.032, SO.112] O b. [-S0.008, S0.0OSS] O . [S0.023, S0.075] O d. [S0.016, S0.064]Question I: 4%, and re = 3%, u = 1.2, d 0.9, T = 0.75, Suppose that the exchange rate is $0.92/€. Let r's number of binomial periods = 3, and K = $0.85. Use Binomial Option pricing to answer the following two questions. (a) What is the price of a 9-month European call? (b) What is the price of a 9-month American call? Question II: Use the same inputs as in the previous (first) question, except that K = $1.00. 1 (a) What is the price of a 9-month European put? (b) What is the price of a 9-month American put?Currently, you canexchange 1 euro for 1.25 dollars in the 180-dayforward market, and the risk-free rate on 180-daysecurities is 6% in the United States and 4% inFrance. Does interest rate parity hold? If not, whichsecurities offer the highest expected return?
- 5. If the 60-day interest rates (simple, p.a.) are 3% at home (usd) and 4% abroad (eur) and thespot rate moves from 1.000 to 1.001:(a) What is the return differential, and what is the corresponding prediction of the change in the forward rate? (b) What is the actual change in the forward rate?(c) What is the predicted change in the swap rate computed from the return differential?(d) What is the actual change in the swap rate?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 breakevenQ2) Suppose the current one-year euro swap rate y0[0, 1] is 1.74%, and the two-yearand three-year swap rates are 2.24% and 2.55% respectively. Euro swap rates are quotedwith annual payments and 30/360 daycount (thus α = 1). A hedge fund(HF) executes the following two trades with a dealer:1(1) The HF pays fixed and receives floating on e100 million notional of a one-year swap atthe forward swap rate.(2) The HF receives fixed and pays floating on e100 million notional of a three-year swapat the forward swap rate.Assume bid-offer costs are negligible.a) After one year, what net cashflow has the dealer paid to (or received from) the HF?b) Suppose after one year, one-year and two-year euro swap rates are unchanged. What isthe current value of the remaining part of the HF trade?c) Suppose after one year, the one-year euro swap rate is unchanged but the two-year euroswap rate is now Y%. What value of Y gives a total zero profit on the trade (at T = 1)?d) Do you like the trades the HF…