mpounding frequency Using annual, semiannual, and quarterly compounding periods, (1) calculate the future value if $7,000 is deposited initially at 8% annual interest for 7 years, and (2) determine the effective annual rate (EAR). Annual Compounding (1) The future value, FV, is $ ---(Round to the nearest cent.) (Do not provide solution in image and AI based.Provide answer of each question)
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Changing compounding frequency Using annual, semiannual, and quarterly compounding periods, (1) calculate the
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- 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 4Solve the following exercise by using the present value formula. Do not round intermediate calculations. Round your answers to the nearest cent. Compound Amount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $13,000 7 years 8.5 semiannually $ $Compute the number of years (t) if future value (FV) = $6,636, present value (FV) = $1,895, and interest rate (r) = 11.6%,. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):
- For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (/= 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. EVA of $1. PVA of $1. FVAD of $1 and PVAD of $1) 1. 2 3. 4. 5. Present Value Future Value 1 $ 36,600 $ 62,000 $ 28,644 $ 76,000 $ 11,758 $ 45,500 68.822 $ 155,000 13,796 $ $ 5% 7% 8% n 20 12 10Complete the following using compound future value. (Use the Table provided.) (Do not round intermediate calculations. Round your final answers to the nearest cent.) Time Principal Rate Compounded Amount Interest 7 years $4 16,600 8% Quarterly cerComplete the following using compound future value. (Use the Table provided.) Note: Do not round intermediate calculations. Round your final answers to the nearest cent. Time: 3 years Principal: $17,100 Rate: 6% Compounded: Quarterly Amount: Interest: Period 0.5% 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 1 1.0050 1.0100 1.0150 1.0200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0650 1.0700 1.0750 1.0800 1.0850 1.0900 1.0950 1.1000 2 1.0100 1.0201 1.0302 1.0404 1.0506 1.0609 1.0712 1.0816 1.0920 1.1025 1.1130 1.1236 1.1342 1.1449 1.1556 1.1664 1.1772 1.1881 1.1990 1.2100 3 1.0151 1.0303 1.0457 1.0612 1.0769 1.0927 1.1087 1.1249 1.1412 1.1576 1.1742 1.1910 1.2079 1.2250 1.2423 1.25.97 1.2773 1.2950 1.3129 1.3310 4 1.0202 1.0406 1.0614 1.0824 1.1038 1.1255 1.1475 1.1699 1.1925 1.2155 1.2388 1.2625 1.2865 1.3108 1.3355 1.3605 1.3859 1.4116 1.4377 1.4641 5 1.0253 1.0510 1.0773 1.1041 1.1314 1.1593 1.1877…
- For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity 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. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4Task: Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount x, is due at the end of the rth year. Let the effective annual interest rate for the rth year be i,. Give an identity which expresses L in terms of the x, and i,. Answer: The identity is [ Select ] [ Select ] L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-2) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-2) ... (1+i_n)^(-n) L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2) + ... + x_n (1+i_1) (1+i_2) ... (1+i_n) L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-1) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-1) ... (1+i_n)^(-1) Question 3 L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2)^2 + ... + x_n (1+i_1) (1+i_2)^2 ... (1+i_n)^nSolve the following exercise by using the compound interest formula. Do not round intermediate calculations. Round your answers to the nearest cent. Principal Time Period(years) NominalRate % InterestCompounded CompoundAmount CompoundInterest $900 5 5.5 annually $ $
- 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 24The following investment requires table factors for periods beyond the table. Using Table 11-1, create the new table factor, rounded to five places, and calculate the compound amount (in $, rounded to the nearest cent.) Time Nominal Interest New Table Compound Principal Period (years) Rate (%) Compounded Factor Amount $17,000 29 annually $ Need Help? Read It(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?