I P5-20 Present value of an annuity Consider the following cases.CaseAmount of annuityInterest ratePenod lyears)$12,00055,000A1220020140,00022,50010a. Caleulate the present value of the annuity nssuming that it is(1) An ordinary annuity.(2) An annuity due.b. Compare your findings in parts a(1) and a(2). All else being identical, whihof annuity ordinary or annuity due-is preferable? Explain why.

An Annuity Due is a stream of regular periodic payments made at a beginning of period for a…

P5-20 Present value of an annuity Consider the following cases. Case Amount of annuity Interest rate Penod lyears) A $ 12,000 7% 55,000 700 12 20 B. 15 140,000 22500 a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, whih re of annuity-ordinary or annuity due is preferable? Explain why.

P5-20 Present value of an annuity Consider the following cases. Case Amount of annuity Interest rate Penod lyears) A $ 12,000 7% 55,000 700 12 20 B. 15 140,000 22500 a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, whih re of annuity-ordinary or annuity due is preferable? Explain why.

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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The following table is for the present value of $1 at compound interest. Year 1 2 3 4 5 6% Year 1 2 3 4 5 0.943 0.890 0.840 0.792 0.747 The following table is for the present value of an annuity of $1 at compound interest. 6% 0.943 1.833 2.673 10% 0.909 0.826 0.751 0.683 0.621 3.465 4.212 12% 0.893 0.797 0.712 0.636 0.567 10% 0.909 1.736 2.487 3.170 3.791 12% 0.893 1.690 2.402 3.037 3.605 Using these tables, what would be the present value of $15,000 (rounded to the nearest dollar) to be received 3 years from today, assuming an earnings rate of 6%?
Following 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 Following 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 provided, the present value of $57,000 (rounded to the nearest dollar) to be received 3 years from today, assuming an earnings rate of 6%, is a.$71,501 b.$152,361 c.$47,880 d.$57,000
Use the following Annuity Table for questions 1 through 6. Future Value of Ordinary Annuity of 1 Period 5% 6% 8% 10% 12% 11.000001.000001.000001.000001.00000 22.050002.060002.080002.100002.12000 33.152503.183603.246403.310003.37440 44.310134.374624.506114.641004.77933 55.525635.637095.866606.105106.35285 66.801916.975327.335927.715618.11519 78.142018.393848.922809.4871710.08901 89.549119.8974710.6366311.4358912.29969 911.0265611.4913212.4875613.5794814.77566 1012.5778913.1807914.4865615.9374317.54874 Present Value of an Ordinary Annuity of 1 Period 5% 6% 8% 10% 12% 1.95238.94340.92593.90909.89286 21.859411.833391.783261.735541.69005 32.723252.673012.577102.486852.40183 43.545953.465113.312133.169863.03735 54.329484.212363.992713.790793.60478 65.075694.917324.622884.355264.11141 75.786375.582385.206374.868424.56376 86.463216.209795.746645.334934.96764 97.107826.801696.246895.759025.32825 107.721737.360096.710086.144575.65022 Use the following…
Estimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following table for an ordinary annuity stream: Number of Payments or Years 10 19 25 80 Annual Interest Rate % (Round to two decimal places.) % (Round to two decimal places.) % (Round to two decimal places.) % (Round to two decimal places.) Future Value $0.00 $12,286.30 $0.00 $1,435,078.21 C Annuity Present Value $580.00 $444.01 $1,985.57 $450.00 $2,298.49 $0.00 $37,000.00 $0.00
For each of the following annuities, calculate the annuity payment. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Annuity Payment $ $ Future Value $ 25,550 1,100,000 940,000 146,000 Years | ហ ៩៦ | co 26 15 Interest Rate 5 % 7 8 4
For each of the following annuities, calculate the annuity payment. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Annuity Payment Future Value $ $ $ $ 25.450 1,090,000 928,000 145,000 Years 8 39 25 14 Interest Rate 4% 6 7
For each of the following annuities, calculate the present value. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Present Value Annuity Payment $ 2,000 $ 1,280 $ 11,580 30,150 69 $ Years 7 17 25 Interest Rate 9 % 8 10 12
Below 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 is the present value of $6,573.00 (rounded to the nearest dollar) to be received at the end of each of the next 4 years, assuming an earnings rate of 12%? a.$19,962 b.$23,696 c.$6,573 d.$15,788
Following is a table for the present value of $1 at compound interest: Year 6% 10% 1 0.943 0.909 0.890 0.826 0.840 0.751 0.792 0.683 5 0.747 0.621 Following 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 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables provided, the present value of $9,186.00 (rounded to the nearest dollar) to be received at the end of each of the next 4 years, assuming an earnings rate of 12%, is Oa. $9,186 Ob. $22,065 2 3 4 4 Oc. $27,898 Od. $33,116 12% 0.893 0.797 0.712 0.636 0.567
Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Amount of annuity $5,000 Interest rate 6% Deposit period (years) 7 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity-ordinary or annuity due is preferable as an investment? Explain why.
For each of the following annuities, calculate the present value. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Present Value Annuity Payment $ $ $ $ 1,950 1,265 11,455 29,900 Years 7 9 16 24 Interest Rate 8% 7 9 11
What is the present value of an ordinary annuity that pays $1,000 per year for 4 years, assuming the annual discount rate is 7 percent? a. $3,051.58 b. $762.90 c. $3,624.32 d. $3,738.32 e. $3,387.21

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