Let R be the one-year LIBOR rate with annual compounding that will be determined in 6 years from now. Assume the forward interest rate volatility for the corresponding period is 20% per year. The risk-free rates with annual compounding are currently 5% for all maturities. a. Calculate the price of a financial derivative that pays 1000R € in 6 years from now. b. Calculate the price of a financial derivative that pays 1000R € in 7 years from now.

Let R be the one-year LIBOR rate with annual compounding that will be determined in 6 years from now. Assume the forward interest rate volatility for the corresponding period is 20% per year. The risk-free rates with annual compounding are currently 5% for all maturities. a. Calculate the price of a financial derivative that pays 1000R € in 6 years from now. b. Calculate the price of a financial derivative that pays 1000R € in 7 years from now.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose the two-year interest rate is r2 with quarterly-compounding and 30/360 daycount. Suppose the price today of a ZCB maturing in 4 years is Z(0,4). Give a formula for the two-year forward two-year libor rate L0[2,4] in terms of r2 and Z(0,4).
Assume that you are preparing an amortization table for a three-year note with a stated and yield rate of 10% and 12%, respectively. Interest is payable every yearend. Which of the choices would be true? a. C4 - D4 = B4 b. E1 - D2 = E2 c. E3 + D3 = E4 d. B5 - D5 = C5
3. Suppose you are considering a PLAM with the following characteristics: Mortgage Amount = $175,000 30-Year Term Monthly Payments Current Real Rate = 5.50 percent Expected Inflation Rates: EOY1 = 3%, EOY2 = -2%, EOY3 thru EOY30 = 0% Annual Payment Adjustments A. What is the APR of this loan? Answer: B. What is the effective cost if the loan is repaid at the end of year 2? Answer: C. Suppose that, instead of repaying the loan, you continue to make the payments and your monthly payment in year 4 is 1,043.09. What was the inflation rate for year 3? Answer:
Assume that the real interest rate is 2% per year, the default risk premium is 3%, the liquidity premium is 1%, and the maturity risk premium is 2%. Additionally, expected inflation is 2% next year, 5% the year after, and 3% from then on. What is the nominal interest rate over a 10-year period?
Suppose the 1-year and 2-year OIS rates are 2% and 4%, respectively. Consider an OISswap with two years to maturity where you receive 3% and pay the floating reference ratewith principal 1 million. If the payments are made annually with annual compounding, what is the value of the swap
Suppose that one has a present loan of $1,000 and desires to determine what equivalent uniform EOY payments, A, could be obtained from it for 10 years if the nominal interest rate is 20% compounded continuously (M =∞).
4. Within the framework of the Ho-Lee model, you have estimated the following continuously-compounded interest rate tree, with the time interval between two movements being A = 1 year: t: 1 2 4% 3% 2% 2% 1% 0.5% Price a cap with a notional of $100 and an annually-compounded strike rate of 1%. The first cash flow of the cap is paid at t=1, and its last cash flow is paid at t=3. The cap pays its cash flows annually.
Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.
a. If starting at t ≥ 1, increasing t by one year multiplies the present value by b. Set the initial deposit to $10k, the annual interest rate to 5%, and years to compound to 10. Increasing the present value from $10k to $12k will increase the future value in 10 years by: CA a larger present value an additional 1+r 1+r r
Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132
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Suppose on can invest in a money market instrument that matures in 70 days that offers 9% nominal annual interest rate, what is the effective annual interest return on this security?

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