The current price of the underlying asset of a European call is $14. The strike of this call is $11 and it expires in one year. The annual compounding interest rate is r = 3% and the yearly volatility is o = 12%. What is the current value of the call?
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- H4. Work out the value of European Call on a risky asset A, currently selling at $600. The European Call has a term to maturity of 1.5 years and a strike price of $675. SD(dA/A), the volatility of returns on the risky asset is 18% per year, and the discrete risk-free rate is 0.9% per yearQ6. Consider an asset with a current market value of $400,000 and a duration of 5 years. Assume the asset is partially funded through a zero-coupon bond with a maturity (principal) value of $360,000 and has a maturity of 5 years. The current market rate is 6% and interest rates are expected to increase by 1%. Which of the following statements is true? The current equity value of the position is $661,976 and if interest rates increase the equity value will decrease. The current equity value of the position is $861,876 and if interest rates increase the equity value will increase. The current equity value of the position is $450,000 and if interest rates increase the equity value will remain unchanged. The current equity value of the position is $130,987 and if interest rates increase the equity value will decrease. The current equity value of the position is $40,000 and if interest rates increase the equity value will decrease.Consider the following balance sheet (in millions) for an FI: Assets Liabilities Duration = 10 years $950 Duration = 2 years $860 Equity $90 What is the FI's duration gap, and FI's interest rate risk exposure ? How can the FI use futures and forward contracts to put on a macrohedge? What is the impact on the FI's equity value if the relative change in interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FI's futures position if the relative change in all interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Assume that the deliverable Treasury bond has a duration of nine years. If the FI wants to macrohedge, how many Treasury bond futures contracts does it need?
- 35) An investor is considering an investment in a short-term debt instrument with time to expiration of 87 days quoted at a discount rate of 3.8% for a 360-day year. Given that its' face value is 150 000 EUR, what is the bond equivalent yield for this instrument?Q1 A long forward contract on a commodity that was negotiated some time ago will expire in 1 months and has a delivery price of $70. The current spot price of the commodity is $59. The risk-free interest rate (with continuous compounding) is 0.09. What is the value of the long forward contract? Q2 A short forward contract on an investment asset that yields 0.08 and was negotiated some time ago will expire in 4 months and has a delivery price of $50. The current spot price of the commodity is $48. The risk-free interest rate (with continuous compounding) is 0.02. What is the value of the short forward contract? Q3 A long forward contract on a commodity that was negotiated some time ago will expire in 2 months and has a delivery price of $76. The current spot price of the commodity is $66. The risk-free interest rate (with continuous compounding) is 2.2%. What is the value of the long forward contract?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 MSEXCEL
- Assume a risk-free asset in the U.S. is currently yielding 2.7 percent while a Canadian risk-free asset is yielding 2.8 percent and the current spot rate is Can$1.2849 = $1. What is the approximate 6-month forward rate if interest rate parity holds? Can$1.2855 Can$1.2838 Can$1.2843 Can$1.2862 Can$1.2836Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price.OIS rates are 3.4% for all maturities. What is the value of an OIS swap with two years to maturity where 3% is received and the floating reference rate is paid. Assume annual compounding, annual payments, and $100 million principal.
- Finance The practice of investing in a currency that offers the higher return on a covered basis is known as covered interest arbitrage. Currently, the six month Euro Libor rate is -0.52% per annum, and the six month TR libor rate is 18.06% per annum. If the spot rate is 8.5013TRY per Euro and the forward rates are as stated below, Forward Points EURTRY 1M FWD 1003 EURTRY 3M FWD 3411 EURTRY 6M FWD 7096 EURTRY 1Y FWD 14507 a) What is 6M Forward rate for euro? b) Do you have a covered interest arbitrage opportunity? c) If yes, how? d) How much is the arbitrage amount you can enjoy if you can borrow upto 1 million euros or its equivalent Turkish Lira?A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.Q5. Consider a six-month European put option on a non- dividend-paying stock. The current stock price is $100 and the strike price is $105. The risk-free rate is 10% per annum with semiannual compounding. A lower bound for the price of the European put option is $ _ If the put option were an American put option, a lower bound would be $_ Q6. The price of a European call that expires in six months and has a strike price of $50 is $2. The current underlying stock price is $50, and a dividend of $2 is expected in three months from now. The risk-free interest rate is 10% per annum with quarterly compounding. For the same stock, what is the price of a European put option with the same maturity and strike price? $ Q7. Suppose that c1, c2, and c3 are the prices of European call options on a particular stock with strike prices K1, K2, and K3, respectively, and that p1, p2, and p3 are the prices of European put options on the same stock with strike prices K1, K2, and K3, respectively, where K…