An annuity pays 8 at the end of each year for five years, starting atthe end of the 12th year. Determine the value of the annuity immediately beforethe first payment using an annual effective interest rate of 7%. which answer is correct in the pictures ie $15.58 or $32.80(dont use exel in the calculation) 1 InputsDetailsFormula2 Amount per year3 No. of year4 Interest rate57%56 Present value at the end of 12th year$35.10 =PV(B4,B3,-B2,0,1)7tep 2 Calculation of present value as on todayABDetailsFormula1 Inputs2 No. of year123 Interest rate%,4 Amount$35.105Dresentualue ae on tedav15 50-DVIR2 R 20 RAOL Annual payment(PMT) =8Annual interest rate(i) =7%Number of years(i) =5PV of annuity before first payment = 8(1+0.07)50.07= 81.40255173070.071-0.7129861790.07= 8 * {0.2870138210.07= 8 * 4. 100197%3D= 32. 80hence value of annuity before first payment is 32.80

Annual payment (P) = 8 Number of payments (N) = 5 Interest rate (R) = 7%

An annuity pays 8 at the end of each year for five years, starting at the end of the 12th year. Determine the value of the annuity immediately before the first payment using an annual effective interest rate of 7%.

An annuity pays 8 at the end of each year for five years, starting at the end of the 12th year. Determine the value of the annuity immediately before the first payment using an annual effective interest rate of 7%.

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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Annuity X and Y provide the following payments: End of Year Y 1-10 1 K 11-20 21-30 1 K Annuity X and Y have equal present values at an effective annual interest rate of 7.1773%. What is present value of X? What is K?
Future value interest factor of an ordinary annuity of $1 per period at i% for n periods, FVIFA(i,n). 3.5% 4.0% 4.5% 8.0% 8.5% 9.5% Period 0.5% 1.0% 1.0000 1.0000 2.0050 2.0100 1 1.5% 2.0% 2.5% 1.0000 1.0000 1.0000 20150 2.0200 2.0250 2 3.2781 3 1.0000 2.0950 3.2940 4.6070 6.0446 4 7 8.1420 9.5491 8 9 10 16.3856 16 8699 18.5312 21.3843 24.5227 27.9750 31.7725 35.9497 26.9964 28.2129 30.8402 40.5447 45.5992 51.1591 57.2750 64.0025 71.4027 58.1767 76.7898 824164 3.0% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 9.0% 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2.0300 2.0350 2.0400 2.0450 2.0500 2.0550 2.0600 2.0650 2.0700 2.0750 2.0800 2.0850 2.0900 3.0150 3.0301 3.0452 3.0604 3.0756 3.0909 3.1062 3.1216 3.1370 3.1525 3.1680 3.1836 3.1992 3.2149 3.2306 3.2464 4.0301 4.0604 3.2622 4.0909 4.1216 4.1525 4.1836 4.2149 4.2465 4.2782 4.3101 4.3423 4.3746 4.4072 4.4399 4.4729 4.5061 4.5395 5 5.0503 4.5731 5.1010 5.1523 5.2040 5.2563 5.3091 5.3625 5.4163 5.4707…
1. In a future value of 1 table: a. b. C. a. b. Annual Rate C. 11% 8% 8% Annual Rate 11% 8% 8% Number of Years Invested Save for Later Number of Years Invested 25 16 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 0 decimal places, e.g 45.) 7 eTextbook and Media 11 8 16 Number of Rents Involved 25 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly % (a) Rate of Interest % % % % (b) Number of Periods % (b) Number of Periods Attempts: 0 of 3 used Submit Answer
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
What is the PV of an annuity due with 5 payments of $5,700 at an interest rate of 6.1%? a. $23,945.30 b. $27,940.90 c. $25,405.96 d. $29,645.30 e. $19,705.96
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…
Complete the ordinary annuity. (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount of Payment payable Years Interest rate Value of annuity payment 12,800 Semiannually 8 % acer Σ %24
End of Year Annuity X Annuity Y ETT 1-10 1 K 11-20 21-30 1 K Annuities X and Y have equal present values at an annual effective interest rate i such that v10 = 1/2. Determine K.
8.
Find the future value of the ordinary annuity. PMT= $2500, i = 7.4% interest compounded quarterly for 15 years A. $270,775.36 B. $405,910.50 C. $64,792.52 D. $398,537.55
fill in the missing annuity in the following table foe an ordinary annuity stream
elow is a table for the present value of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what would be the present value of $30,000 to be received three years from today, assuming an earnings rate of 6%?

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