A trader in the United States has a portfolio of derivatives on the Australian dollar with a delta of 456. The USD and AUD risk free interest rates are 5% and 8%. What position in a one-year forward contract on the Australian dollar creates a delta-neutral position? Question options: Long 494.0 Short 494.0 Short 394.0 None of the above
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A trader in the United States has a portfolio of derivatives on the Australian dollar with a delta of 456. The USD and AUD risk free interest rates are 5% and 8%. What position in a one-year forward contract on the Australian dollar creates a delta-neutral position? Question options:
Long 494.0
Short 494.0
Short 394.0
None of the above
Step by step
Solved in 4 steps
- Assume that interest rate parity holds. In the spot market1 Japanese yen = $0.009144, while in the 90-day forward market 1 Japanese yen = $0.009184. In Japan, 90-day risk-free securities yield 2%. What is the yield on 90-day riskfreesecurities in the United States?A trader in the United States has a portfolio of derivatives on the Australian dollar with a delta of 456. The USD and AUD risk free interest rates are 5% and 8%. What position in a one-year futures contract on the Australian dollar creates a delta-neutral position? Question 12 options: Long 469.9 Short 469.9 Short 310 None of the aboveSuppose you observe the following one-year interest rates, spot exchange rates and futures prices. Futures contracts are available on €10,000. How much risk-free arbitrage profit could you make on one contract at maturity from this mispricing? Exchange Rate Interest Rate APR So($/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.
- Assume that the Risk Free Rate in Europe is 3% and in the US is 1%. if the current exchange rate of Euro to Dollar is 1.14 ( 1 Euro for 1.14 USD) What is going to be a fair futures price to deliver 1 Euro in 1 year? (mark the closest rounded answer please) 1.12 1.16 1.14 NONE OF THE ABOVEQ2) 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…A currency speculator wants to speculate on the future movements of the €. The speculator expects the € to appreciate in the near future and decides to concentrate on the nearby contract. The broker requires a 2% Initial Margin (IM) and the Maintenance Margin (MM) is 75% of IM. Following € Futures quotes are currently available from the Chicago Mercantile Exchange (CME). Euro (CME) - €125,000; $/€ Open High Low Settle Change Open Interest June 1.2216 1.2276 1.2175 1.2259 -0.0018 255,420 Sept 1.2229 1.2288 1.2189 1.2269 - 0.0018 19,335 In addition to the information provided above, consider the following CME quotes that are available at the end of day one’s trading: Euro (CME) - €125,000; $/€ Open High Low Settle Change Open Interest June 1.2216 1.2276 1.2175 1.2176 -0.0083…
- a. You notice that the 9-month risk free interest rates in the UK is 4% per annum withcontinuous compounding and the US rate is 7% per annum, with continuous compounding.The spot price of the Pound Sterling is $0.2500. Assume the US is your home country.Answer the following:i. What is the no-arbitrage price of the 9-month futures contract? ii. You observe that the 9-month futures price in the market is $0.2775. State why anarbitrage opportunity exists and explain how you would take advantage of thisarbitrage opportunity.(Hint: Your answer should include your general strategy in broad terms and your step-bystep approach to exploiting the arbitrage opportunity using numbers from this question)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 percentSuppose the exchange rate is $1.71/€. Let r$ = 2%, r€ = 7%, u = 1.16, d = 0.78, and T = 2. Using a 2-step binomial tree, calculate the value of a $1.70-strike American call option on the euro. a.$0.1253 b. $0.1220 c. $0.1118 d. $0.1196 e. $0.1172
- Question Il: Suppose that the exchange rate is $0.92/e. Let rs = 4%, and re = 3%, u = 1.2, d = 0.9, T = 0.75, number of binomial periods = 3, and K = $1.00 Use Binomial Option pricing to answer the following two questions. (a) What is the price of a 9-month European put? (b) What is the price of a 9-month American put?Question Il: Suppose that the exchange rate is $0.92/e. Let rs= 4%, and re= 3%, u = 1.2, d = 0.9, T = 0.75, number of binomial periods = 3, and K = $1.00 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?Assume that interest rate parity holds. In the spot market 1 Japanese yen = $0.00905, while in the 90-day forward market 1 Japanese yen = $0.00913. In Japan, 90-day risk-free securities yield 1%. What is the yield on 90-day risk-free securities in the United States? Do not round intermediate calculations. Round your answer to two decimal places.
