Finance The implied volatilities for strike prices of 1.1 and 1.2 when the time to maturity is 3 months are 20% and 22%. The implied volatilities for strike prices of 1.1 and 1.2 when the time to maturity is 9 months are 17% and 20.2%. What is the implied volatility for the strike prices of 1.1 for a time to maturity of 6 months? Select one: a. 20.10% b. 8.50% c. 21.10% d. 19.40% e. 18.50%
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- Assume the Black-Scholes framework. Let S be a stock such that S(0) = 21, the dividend rate is δ = 0.02, the risk free rate is r = 0.05, and the volatility is σ = 0.2. (a) Calculate the expected payoff of a 6 month call with strike price 17. (b) Calculate the cost of such a call. (c) Calculate the cost of a 6 month put with strike price 17. (d) Calculate the price of a derivative that pays |S(0.5) − 17| in six monthsRecall that on a one-year Treasury security the yield is 4.0000% and 4.8000% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.35%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a4.1666% b5.5882% c4.9019% d6.2254% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a6.61% b5.46% c6.45% d6.69%Recall that on a one-year Treasury security the yield is 4.4600% and 6.0210% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.
- Recall that on a one-year Treasury security the yield is 5.6100% and 6.7320% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.15%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a 9.6049% b 6.4285% c 8.6217% d 7.5629% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a 5.46% b 6.45% c 6.53% d 6.61%Suppose a 10 -year,$1,000bond with a(n)9%coupon rate and semiannual coupons is trading for a price of$946.34. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to9%APR, what will the bond's price be?Suppose the real risk-free rate is 2.80%, the average future inflation rate is 2.30%, a maturity premium of 0.25% per year to maturity applies, i.e., MRP = 0.25%(t), where t is the number of years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 2.50% applies to A-rated corporate bonds. What is the difference in the yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations theory is NOT valid, and disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 4.25 p.p. b. 2.25 p.p. c. 4.19 p.p. d. 3.00 p.p. e. 1.75 p.p. Please explain process and show calculations
- Suppose that the current 1-year rate ( 1-year spot rate) and expected 1-year T-bill rates over the following three years (i.e years 2,3, and 4 respectively) as follows: 1R1=3.22%, E(2r1)=4.65%,E(3r1)=5.15%,E(4r1)=6.65% Using the unbiased expectations theory, calculate the current (long-term) for one-, two-, three-, and four- year- maturity treasury securities. ( Round your answers to 2 decimal places.)Assume that the real risk-free rate is 1% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 6% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places.Assume that the real risk-free rate is 2% and that the maturityrisk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bondyields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yieldusing a geometric average. What inflation rate is expected during Year 2? Comment onwhy the average interest rate during the 2-year period differs from the 1-year interestrate expected for Year 2.
- Given a yield to maturity of 0.00045629%. Assume the yield to maturity immediately increases 1%. Calculate the new price of the Treasury Bill. Show Work Please.Consider a long forward contract to purchase a coupon-bearing bond whose current price is $910. We will suppose that the forward contract matures in 9 months. We will also suppose that a coupon payment of $45 is expected after 4 months. We assume that the 4-month and 9-month risk-free interest rates (continuously compounded) are, respectively, 3% and 4% per annum. Explain how an arbitrageur can make profits from this scenario.Suppose that the continuously compounded zero rates are listed in the table below: Maturity (Months) Zero Rate (%) 6 2.1 12 2.9 18 3.2 24 3.6 30 4.2 Estimate the price of a bond with a face value of $100 that will mature in 30 months and pays a coupon of 7% per annum semiannually. (Required precision: 0.01 +/- 0.01)