Tick all those statements on perpetuities that are correct. a. The present value of a perpetuity increases if the interest rate increases. b. If I multiply the present value of a perpetuity with the interest rate then I get the value of a single payment of the cashflow stream. C. A perpetuity describes a constant cashflow at the end of each year that continues infinitely long. d. The present value of a perpetuity is infinite as all the payments add up to infinity. e. The present value value of a perpetuity is independent of the interest rate.

Tick all those statements on perpetuities that are correct. a. The present value of a perpetuity increases if the interest rate increases. b. If I multiply the present value of a perpetuity with the interest rate then I get the value of a single payment of the cashflow stream. C. A perpetuity describes a constant cashflow at the end of each year that continues infinitely long. d. The present value of a perpetuity is infinite as all the payments add up to infinity. e. The present value value of a perpetuity is independent of the interest rate.

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 difference between an ordinary annuity and an annuity due is that each of the payments of the annuity due earns interest for one additional year (period). * True False
PLEASE, WRITE THE SOLUTION ON PAPER, EXPLAINING THE ENTIRE PROCESS, STEP BY STEP
Q. No. 02: Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. a) $300 per year for 10 years at 10% b) $100 per year for 5 years at 5% c) $300 per year for 5 years at 0% d) Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities due. Q.No. 03: Solve following time line, draw a clear diagram in your answer sheet. Assume opportunity cost of 12% 6 7 3 500 500 500 300 300 300 300 300 Q. No. 04: Discuss following terms with examples; a) Perpetuity b) Par Value c) Coupon Rate d) Zero-Coupon Bond
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
An annual perpetuity has a constant cash flow of $1000. If the interest rate is 7% compounded annually, what is the present value of the perpetuity?
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?
The present value of an annuity due is determined on the last day of the first annuity period. on the first day of the last annuity period. on the last day of the last annuity period. on the date of the first cash flow in the series.
You are comparing two annuities. Annuity A pays $115 at the end of each year for 5 years. Annuity B pays $105 at the beginning of each year for 5 years. The rate of return on both annuities is 12 percent. Which one of the following statements is correct given this information? Annuity B has both a higher present value and a higher future value than Annuity A. O Annuity A has both a higher present value and a higher future value than Annuity B. O Annuity A has the same present value and future value as Annuity B.
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..
A perpetuity of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or more
the discount rate or the interest rate increases for a given time period? As the discount rate or the interest rate decreases? 10. Relationship between an ordinary annuity and an annuity due. Compare the present value of a $6,000 ordinary annuity at 10 percent interest for ten years with the present value of a $6,000 annuity due at 10 percent interest for eleven years. Explain the difference.

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