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- The below call option is European. What is the minimum arbitrage profit at time T=1Y arising from the following prices? So = $19.63 T=1Y K = $18 C = $2.77 r = 6% (cont. comp. annual rate) (required precision 0.01 +/- 0.01)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)Suppose that in a two-period Arrow-Debreu economy with three states, the state probabilities are T₁ = 0.1, 7₂ = 0.55, 73=0.35 and the state prices are 9₁ = 0.2, 9₂=0.5, 93 = 0.8 for states 1, 2, and 3 respectively. Assume that an asset has the state-contingent dividend given in the following table, and the observed price of the asset is 4.1. State-contingent dividend State 1 State 2 State 3 Asset's dividend 5 3 2 According to information above, which one of the following statements regarding arbitrage opportunities is correct? O A. In this case, arbitrage opportunities do not exist. O B. In this case, arbitrage opportunities exist because the asset is over-priced. O c. In this case, arbitrage opportunities exist because the asset is under-priced. O D. Due to insufficient information, it is inconclusive whether arbitrage opportunities exist or not.
- Question 2 In 6-month from today, a U.S. based company will receive 2,000,000 Australian dollars (AUD) and the company wants to hedge the exchange rate risk. The expected AUD spot rate in 6-month will either appreciate by 5% (p.a) with 40% probability or depreciate by 10% (p.a.) with 60% probability. All rates are continuous compounding (please round your answers to 4 decimals in the exchange rate calculations). As the financial manager of the company, you look at Bloomberg and collect the following information: • U.S. interest rate: . . 4% p.a. 5% p.a. 1 AUD=0.63 USD Spot rate: Call option premium 0.03 USD, with exercise exchange rate 1 AUD-0.65 USD and 6-month maturity Put option premium 0.02 USD, with exercise exchange rate 1 AUD-0.64 USD and 6-month maturity Australian interest rate: 1) Calculate the 6-month forward exchange rate, describe how a forward agreement can be used to hedge the receivable money, and calculate the resulting amount of USD in 6 months.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?European put and call options both have an exercise price of GH¢50 that expires in 120 days.The underlying asset is priced at GH¢52 and makes no cash payments during the life of theoption. The risk-free rate is 4.5%. Find the price of the call option.
- Calculate the Forward Price of an asset with the following data points: • Current Spot Price: $58.75 • Risk Free Rate: 2.0% • Contract Length: 3 months • Known Income (1): $5.00 • Average Yield (q): 0.0% • Delivery Price (K): $60 Round to 2 decimal places.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?A short forward contract on a commodity that was negotiated some time ago will expire in 9 months and has a delivery price of $58. The current spot price of the commodity is $58. The risk-free interest rate (with continuous compounding) is 4.1%. What is the value of the short forward contract?
- The following is the spot and forward rates of dollar against Euro. Spot 30-day forward Euro/$ 0.85 0.90 You sign a contract for selling John Deere with the amount of 1 billion euros that will be delivered in 30days. You expect the 30day later the spot rates of dollar to be 0.75 with 50% chance and 0.95 with 50%. What is the expected dollar amount if no forward has been used? As a risk-neutral person, is it a good idea to use the forward?consider a one-year forward contract on gold. Suppose that it costs $2 per ounce per year to store gold with payment being made at the end of the year. Assume that the spot price is $450 per ounce and the risk-free rate is 7% per annum for all maturities. Assume continuous compounding. (a) What is the forward price F (0, 1) that does not result in arbitrage profit? (b) If the forward price is $460, do you get any arbitrage profit opportunity? If so, what is your strategy? (You need to provide more than "buy low, sell high".)Suppose that the spot price of a Canadian dollar is U.S. $0.89 and that the exchange rate has a volatility of 7% per year. Risk-free interest rates are 6% in the U.S. and 4% in Canada. Calculate the price of a 6-month European call option to buy one Canadian dollar for U.S. $0.89. Express your answer in terms of the cumulative normal distribution function, N(x), as in the answers to question 16 in part 1. What is the price of a 6-month option to buy U.S. $0.89 for one Canadian dollar? Please show all your work! Thank you SO much