Suppose you are going to receive $17,500 per year for five years. The appropriate interest rate is 10 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2. What is the present value of the payments if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-1. Which has the higher present value, the ordinary annuity or annuity due? c-2. Which has the higher future value? a-1. Present value of ordinary annuity a-2. Present value of annuity due b-1. Future value of ordinary annuity b-2. Future value of annuity due c-1. Higher present value c-2. Higher future value

Suppose you are going to receive $17,500 per year for five years. The appropriate interest rate is 10 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2. What is the present value of the payments if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-1. Which has the higher present value, the ordinary annuity or annuity due? c-2. Which has the higher future value? a-1. Present value of ordinary annuity a-2. Present value of annuity due b-1. Future value of ordinary annuity b-2. Future value of annuity due c-1. Higher present value c-2. Higher future value

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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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. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Annuity Amount i = n = 1. ? $2,400 8% 5 2. 533,082 140,000 ? 4 3. 583,150 180,000 9% ? 4. 530,000 75,502 ? 8 5. 235,000 ? 10% 4
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. (i=interest rate, and n=number of years)(FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of 1$ and PVAD of $1) (Use appropriate factor (s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Annuity Amount i= n= ______________ $ 2,600 8% 5 507,866 135,000 _____ 4 661,241 170,000 9% ____ 540,000 78,557 _____ 8 230,000 _____________ 10% 4
Suppose that an individual invests $2,500 at the end of each of the next 6 years and earns an annual interest rate of 8%. Calculate the present value of this series of annuity payments B)Suppose that an individual invests $2,500 at the beginning of each of the next 6 years and earns an annual interest rate of 8%. Calculate the value of this series of annuity payments. How does this result compare with the solution to Part A?
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.)
Suppose you are going to receive $14,500 per year for five years. The appropriate interest rate is 8 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a-2. What is the present value of the payments if the payments are an annuity due? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? Note: Do not round intermediate..
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9. Examine the time line for Now the annuity shown. 250 (1.015) 250 (1.015) 250 (1.015) E 250 (1.015)23 250 (1.015) a) What is the duration of this annuity? How can you tell? b) Determine the annual rate of interest and the number of compounding periods per year. c) Determine the present value of this annuity. d) Determine the total interest earned. ANSWER 9. a) 6 years b) 6%; 4 compounding periods per year c) $5007.60 d) $992.40 Time (3-month periods) 1 2 250 250 250 250 250 3 23 24 H-H
Use a calculator to evaluate an ordinary annuity formula 1 +4 nt - 1 A = m for m, r, and t (respectively). Assume monthly payments. (Round your answer to the nearest cent.) $50; 5%; 8 yr A = $
Find the present value of a 5-year annuity due if the annual payments are $600 and the interest rate is 11%. What is the difference between the present value of the annuity and the present value of the ordinary 5-year annuity?
D3) Suppose the interest rate is 7.3% APR with monthly compounding. What is the present value of an annuity that pays $110 every six months for five years? (Note: Be careful not to round any intermediate steps less than six decimal places.)
1. What is the different between an ordinary annuity and an annuity due? Which occursmore in practice? Give a common example of both. 2. Using the example of a savings account, explain the difference between the effectiveannual rate and the annual percentage rate. 3. A mortgage instrument pays $1.5 million at the end of each of the next two years. Aninvestor has an alternative investment with the same amount of risk that will payinterest at 8% compounded semiannually. what the investor should pay for themortgage instrument?

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