You want to invest in an annuity that will pay you $10,500 per year for the first 4 years and $7,200 per half year for the last 8 years. If the annuity earns 4.25% compounded annually for the first 4 years and 2.55% compounded semiannually for the remaining 8 years, what would be the amount of your initial investment? Enter the appropriate values in the blanks below, round answers to two decimal places. Initial Balance |<-- N = P/Y= PV = PMT= FV = 4 years Intermediate Balance 8 years A/ N = My P/Y= A PV = A/ PMT= A/ FV = Final Balance ->I A D N

You want to invest in an annuity that will pay you $10,500 per year for the first 4 years and $7,200 per half year for the last 8 years. If the annuity earns 4.25% compounded annually for the first 4 years and 2.55% compounded semiannually for the remaining 8 years, what would be the amount of your initial investment? Enter the appropriate values in the blanks below, round answers to two decimal places. Initial Balance |<-- N = P/Y= PV = PMT= FV = 4 years Intermediate Balance 8 years A/ N = My P/Y= A PV = A/ PMT= A/ FV = Final Balance ->I A D N

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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Suppose you invest in an annuity that pays 6% interest, compounded annually. You contribute $4,500 each year for 10 years, what is the value of the annuity at the end of 10 years? Enter your answer rounded to the nearest hundred dollars. Omit the dollar sign and comma ($42,570.21 should be entered as 42600.)
What is the present value of a 10-year annuity of $5,250 per period in which payments come at the beginning of each period? The interest rate is 11 percent. Use Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. When using Appendix D to find the present value of this annuity due, subtract 1 from n and add 1 to the table
Suppose you find an annuity that pays 8% annual interest, compounded annually. If you invest in this annuity and contribute $10, 000 annually for 10 years, how much money will be in the annuity after 10 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign and comma (For example $122, 570.21 should be input as 122600.) Provide your answer below:
Compute the present value of an annuity of $621 per year for 25 years, given a discount rate of 6 percent per annum. Assume that the first cash flow will occur one year from today (that is, at t = 1). Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Your Answer: Answer
Use graphical approximation techniques or an equation solver to approximate the desired interest rate. A person makes annual payments of $1000 into an ordinary annuity. At the end of 5 years, the amount in the annuity is $5700.46. What annual nominal compounding rate has this annuity earned? Type the interest rate: % (Round to 2 decimal places.)
Appendix D Present value of an annuity of $1, PV PV-A (1+ Percent Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 1. 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 6. 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4,486 4.355 4.231 4.111 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 ........ 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492…
Your insurance agent is trying to sell you an annuity that costs $50,000 today. By buying this annuity, your agent promises that you will receive payments of $260 a month for the next 25 years. What is the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
What is the present value of a 6-year annuity of $2,250 per period in which payments come at the beginning of each period? The interest rate is 10 percent. Use Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. When using Appendix D to find the present value of this annuity due, subtract 1 from n and add 1 to the table value. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Present value
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 years
Compute the present value of a perpetuity that pays $6,744 annually given a required rate of return of 9 percent per annum. Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Answer Question 4 Assume that you deposit $3,956 each year for the next 15 years into an account that pays 20 percent per annum. The first deposit will occur one year from today (that is, at t = 1) and the last deposit will occur 15 years from today (that is, at t = 15). How much money will be in the account 15 years from today? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign.
You are offered the choice of two annuities. A: Receive $100 every year for the next ten years. The first payment starts one year from today. B: Receive $204 every two years for the next ten years. The first payment starts two years from today. Without calculating the present values of the annuities, explain how you can obtain the rate of interest per annum that would make you indifferent between the two annuities.
Suppose that you have inherited an annuity that will initially pay $1,755 six years from now. Each of the following 30 annual payments will be 3% larger than the prior payment. Assuming that the annual opportunity cost of capital is 7%, what is the value of this annuity today? Round your final answer to two decimals.

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