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Maturity: 1 2 3 4 5
YTM: 5%; 4.5%; 4%; 3.5%; 3.2%
1.Calculate discount factor for all 5 years
2.Calculate spot rates for all 5 years
3.Calculate forward rates for all 5 years
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- Complete the following using compound future value. (Use the Table provided.) Time 6 months Principal $ 15,000 Rate Compounded 6% Semiannually Amount Interest2. Find the present value of $500 due in the future under each of these conditions: a. 12% nominal rate, semiannual compounding, discounted back 5 years b. 12% nominal rate, quarterly compounding, discounted back 5 years c. 12% nominal rate, monthly compounding, discounted back 1 year Hint: identify the interest rate per period and the total number of periods in each scenario first. OAssume that the expected rates of inflation over the next 5 years are 9 percent, 7 percent, 10 percent, 8 percent, and 6 percent, respectively. What is the average expected inflation rate over this 5-year period? Group of answer choices 9% 7% %5 8%
- For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %Suppose the term structure of interest rates is shown below: Term Rate (EAR%) 1 year 5.00% 2 years 3 years 5 years 10 years 20 years 4.50% 4.30% 4.30% 4.25% 4.15% The present value of receiving $1000 per year with certainty at the end of the next three years is closest to:Complete the ordinary annuity as an annuity due (future value) for the following: (Please use the following provided Table) Note: Do not round intermediate calculations. Round your answer to the nearest cent. $ Amount of payment Payment payable 5,000 Annually Years Interest rate 5% 5 Annuity due
- Which of the following 4 loans has the lowest interest rate risk to the lenders? Loan 1 Loan 2 Loan 3 Loan 4 Initial Interest rate 5.00% 3.75% 4.50% 4.00% Loan Maturity (in 30 30 30 30 years) Margin above the n/a 3% 3% 3% index every Adjustment interval n/a every year every year year 1% per 3% per Interest rate cap n/a None year year Loan 1 Loan 2 Loan 3 Loan 4 O Cannot determineComplete the following using present value. (Use the Table provided.) (Do not round intermediate calculations. Round the "Rate used" to the nearest tenth percent. Round the "PV factor" to 4 decimal places and final answer to the nearest cent.) Amount desired at end of period 6,600 Length of time 10 years Rate 2% Compounded semiannually On PV Table 12.3 Period used 120 Rate used 0.2 % PV factor used 0.2400 $ PV of amount desired at end of period 1,584.08For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Number of Annual Rate Years Invested Compounded Case A 5% 5 Annually Case B 8% 6 Semiannually Case A Case B . (a) % % (2) In Table 2 (future value of an annuity of 1): Annual Rate Number of Years Invested Compounded Case A 6% 9 Annually Case B 8% 5 Semiannually Case A Case B (b) periods periods (a) (b) % periods % periods
- Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. Principal Rate (%) Time Interest Maturity Value $97,000 8 1 4 4 1 2 years $ $Future value interest factor of an ordinary annuity of $1 per period at i% for n periods, FVIFA(i,n). Period 5.0% 5.5% 6.0% 1.0% 1.0000 1.5% 1.0000 2.0% 1.0000 1 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0050 2.0100 2.0150 2.0200 2.0250 2.0300 2.0350 1.0000 2.0400 3.1216 3 3.0150 3.0301 3.0452 3.0756 3.0909 3.1062 4 4.0301 3.0604 4.1216 5.2040 4.1525 4.1836 4.2149 4.2465 5 4.0604 4.0909 5.1010 5.1523 6.1520 6.2296 6.3081 5.0503 5.2563 5.3091 5.3625 5.4163 6 6.0755 6.3877 6.4684 6.5502 6.6330 7 7.1059 7.5474 7.6625 7.7794 7.4343 8.4328 8.5830 8 8.1414 9 10 11 12 13 14 15 16 17 18 19 6.5% 7.0% 7.5% 9.0% 8.5% 0.0% 0.5% 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2.0450 2.0500 2.0550 2.0600 2.0650 2.0700 2.0750 2.0800 2.0850 2.0900 2.0950 3.1370 3.1525 3.1680 3.1836 3.1992 3.2149 3.2306 3.2464 3.2622 3.2781 3.2940 4.2782 4.3101 4.3423 4.3746 4.4072 4.4399 4.4729 4.5061 4.5395 4.5731 4.6070 5.4707 5.5256 5.5811 5.6371 5.6936 5.7507 5.8084 5.8666 5.9254 5.9847 6.0446…Find the maturity value and the amount of simple interest earned. $2913 at 4.23% for 4 months The maturity value is $ (Round to the nearest cent as needed.)