Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 5.4% r2 = 5.9% r3 = 6.6% r4 = 7.4% What are the following forward rates, where fi,k refers to a forward rate for the period beginning in one year and extending for k years? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 11.1 1.2 11,3 % % %
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- Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24a. If the one-year discount factor is 0.9217, what is the one-year interest rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the two-year interest rate is 8.5%, what is the two-year discount factor? (Do not round intermediate calculations. Round your answer to 4 decimal places.) c. Given these one- and two-year discount factors, calculate the two-year annuity factor. (Do not round intermediate calculations. Round your answer to 4 decimal places.) d. If the PV of $10 a year for three years is $25.54, what is the three-year annuity factor? (Do not round intermediate calculations. Round your answer to 4 decimal places.) e. From your answers to (c) and (d), calculate the three-year discount factor. (Do not round intermediate calculations. Round your answer to 4 decimal places.) a. Interest rate % b. Discount factor c. Annuity factor d. Annuity factor e. Discount factorConsider the following spot interest rates for maturities of one, two, three, and four years. r1 = 6.10% r2 = 6.00% r3 = 5.80% r4 = 5.50% What are the following forward rates? Hint: f1, k refers to a forward rate for the period beginning in one year and extending for k years. fk,1 refers to a forward rate beginning in k years and extending for 1 year. f1,1 : f1,2 : f1,3 : f2,1: f3,1 :
- Compute the interest rate if future value (FV) = $7,198, present value (FV) = $2,694, and number of years (t) = 9. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):For each of the following cases, indicate (a) to what interest rate columns and (b) to what number of periods you would refer in looking up the future value factor. (Round percentages to 2 decimal places, e.g. 5,275.)(1) In Table 1 (future value of 1): Annual Rate Number ofYears Invested Compounded Case A 4% 3 Annually Case B 9% 5 Semiannually (a) (b) Case A % periods Case B % periods (2) In Table 2 (future value of an annuity of 1): Annual Rate Number ofYears Invested Compounded Case A 6% 5 Annually Case B 12% 6 Semiannually (a) (b) Case A % periods Case B % periodsSuppose the spot rate and the 90-day forward rate on the Brazilian real are 3.3054 and 3.3263, respectively. If the three-month interest rate on dollars is .27%, what do you think is the three-month interest rate on the Brazilian real? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
- For 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.): years Interest Rate Future Value 14 8 16,151 5 14 58,557 30 15 893,073 35 8 557,164consider the following spot interest rates for maturities of one, two, three, and four years. r1=4.1%, r2=4.5% r3=5.2% r=6.0% what are teh following forward rates, where fk.1 refers toa forward rate beginning in the k years and extending for the 1 year?Suppose we observe the following rates: 1R1 = 10%, 1R2 = 12%. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year interest rate expected one year from now, E(2r1)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
- Use factors and a spreadsheet to determine the interest rate per period from the following equation: 0=-36,000+8,000 (P/A,i*,5) + 8,000 (P/F,i*,8) (Round the final answer to three decimal places.) The interest rate per period is | %.For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty amounts are received at the end of each period. (/= Interest rate, and n = number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4Consider the following spot interest rates for maturities of one, two, three, and four years. r₁ = 4.3% 2 = 4.9% √3 = 5.6% r4 = 6.4% What are the following forward rates, where fkn refers to a forward rate beginning in k year(s) and extending for n year(s)? f2,1 = ? f3,1 = ? f2,2 = ?