Maturity Value (F) Principal (P) Rate (r) Time (t) Interest (I,) P 60,000.00 4% 15 (1) (2) (3) 12% P 15,000.00 (4) P 50, 000.00 (5), 2 (6) P 59,500.00 (7) 10.5% (8) P 157,500.00 P457,500.00 P 1,000,000.00 0.25% 6.5 (9) (10)
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- DO not Answer Question 1-6, Only below question A-C needed. 21. 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? What is the 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…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?Insert the answer for each of the following: A. P=$4,500, r=.06, t=4 years. Interest ?__________________________. B. p= $ 3,200, r=.023, t= 3months. interest ? ________________________. C. p=$ 1,700, r=.055, t= 90 days. interest ? ____________________________. D. sales $ 3,790, returns $ 390, sales terms 2/10 n 30. discount ________________? and E. remittance ( paid) __________________________? ( assume paid in discount period)
- Suppose we observe the following rates: 1R1 = 0.75%, 1R2 = 1.20%, and E(2r1) = 0.907%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2, L2? (Do not round intermediate calculations. Round your answer to 3 decimal places.)Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 1YR USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)
- Determine the present value of the following single amounts: Future Amount Interest Rate No. of Periods1. $ 20,000 7% 102. 14,000 8 123. 25,000 12 204. 40,000 10 8Determine the future value of the following single amounts: Invested Amount Interest Rate No. of Periods1. $ 15,000 6% 122. 20,000 8 103. 30,000 12 204. 50,000 4 12For each of the following, compute the present value: (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Present value years interest rate Future value 10 5% $17,528 2 11 41,717 14 13 792,382 19 13 649,816
- Use factors (from the tables) or a spreadsheet to determine the interest rate per period from the following equation: 0 = −40,000 + 8000(P/A,i*,8) + 8000(P/F,i*,10)The force of interest is given by: ?(?) = {0.08 − 0.001? 0 ≤ ? < 30.025? − 0.04 3 ≤ ? < 50.03 ? ≥ 5Calculate the present value at time 2 of a payment of £1,000 at time 10.For each of the following situations involving single amounts, solve for the unknown (?). Assume that interest is compounded annually. (i = interest rate, and n = number of years) Present Value Future Value i n1. ? $ 40,000 10% 52. $ 36,289 65,000 ? 103. 15,884 40,000 8 ?4. 46,651 100,000 ? 85. 15,376 ? 7 20