given S0=€50, at the end of second months, the asset can be €52 or €48. With risk free interest rate of 12% continously and ST is the asset price in the end of second month. Calculate the pricing of a derivative that give ST^2 payoff at the end of second months using one step binomial process.
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given S0=€50, at the end of second months, the asset can be €52 or €48. With risk free interest rate of 12% continously and ST is the asset price in the end of second month. Calculate the pricing of a derivative that give ST^2 payoff at the end of second months using one step binomial process.
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- 1. Suppose a financial asset, ABC, is the underlying asset for a futures contract with settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $80; ABC pays $8 per year in two semiannual payments of $4, and the next semiannual payment is due exactly 6 months from now; and the current 6month interest rate at which funds can be loaned or borrowed is 6%. a) Compute for the profit for the transaction? b) What is the theoretical (or equilibrium) futures price? c) What action would you take if the futures price is $837 d) What action would you take if the futures price is $76? SHOW SOLUTIONS PLEASE DONT USE MSEXCELAnswer the following question and give the specific process: What is the value of a derivative that pays off $100 in six months if an index is greater than 1,000 and zero otherwise? Assume that the current level of the index is 960, the risk-free rate is 8% per annum, the dividend yield on the index is 3% per annum, and the volatility of the index is 20%. (Hint: Use Binary options)1. Suppose a financial asset, ABC, is the underlying asset for a futures contract with settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $80; ABC pays $8 per year in two semiannual payments of $4, and the next semiannual payment is due exactly 6 months from now; and the current 6month interest rate at which funds can be loaned or borrowed is 6%. d) What action would you take if the futures price is $76?
- Assume oat forward prices over the next 3 years are $2.30, $2.40, and $2.33, respectively. Effective annual interest rates over the same period are 5.5%, 5.8%, and 6.1%. What is the 3-year swap price if the delivery in year 1 is 100,000 bushels, the delivery in year 2 is 125,000 bushels and the delivery in year 3 is 175,000 bushels?An asset has a current price of ₱80.00 and it has an expected price of ₱95 in 6 months. In yourassessment, the standard deviation (σ) is 0.45. The reference rate is 5.5%. The value to the shortand to the long would be?1. Suppose a financial asset, ABC, is the underlying asset for a futures contract with settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $80; ABC pays $8 per year in two semiannual payments of $4, and the next semiannual payment is due exactly 6 months from now; and the current 6month interest rate at which funds can be loaned or borrowed is 6%. What action would you take if the futures price is $83? What action would you take if the futures price is $76?
- Consider a one-period binomial model in which the underlying is at 65 Euros, and can go up 30% or down 22% each period. The risk-free rate is 8%. European Put Option with Execution Price of 70 Euros. Assume that the put is selling for 9 Euros. Demonstrate how to execute an arbitrage transaction and calculate the rate of return. Use 10000 puts.Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.An asset currently costs $432. The risk-free rate in the economy is 2.8% per year. What should be the price of a newly-created futures contract on this asset if the futures contract matures in 8 months? Round to the nearest penny. the answer should be 440.03. How do you get that?
- An investor buys a ($1000 FV) Treasury Strip security with 11 years to maturity at a yield of 5.1%. Two years later the yield to maturity on the strip is 4.0% and the investor decides to sell. What is the compounded annual rate of return on the investment over the investment horizon? For simplicity assume all yields in the question are quoted with annual compounding. Enter your answer as percent to two decimal places, but do not include the % sign.Suppose the spot rates for the next three years are 4.2%, 4.6% and 4.8% respectively. The one year forward rates are 4.2%, 5.0015% and 5.2012%, respectively as well. Using a value of 10% for the volatility of the one year forward rate, construct a three-year binomial interest rate tree with one year forward rates.Suppose that you trade a forward contract today that matures after one year. The forward price is $105 and the simple interest rate is 7 percent per year. If after six months from today, the spot price is going to be $125 and the value of the forward contract is $20, the arbitrage profit that you can make today by trading one forward contract and other securities is?