9. A perpetuity due pays 600 in the first year, and in each subsequent year,the payment is 1% greater than the payment before. At an annual effectiveinterest rate of i, the present value for the perpetuity is 152,100. Just afterreceiving the third payment, the perpetuity is replaced by a 30 year annuityimmediate, and the present value for this annuity is also based on an annualeffective interest rate of i. The annuity has payments ofFind X.X, 2X, 3X, 4X, 5X, ...., 29X, 30X

Given: PV = P + (1.01P)/(1 + i) + (1.02P)/(1 + i)^2 + (1.03P)/(1 + i)^3 + ...PV = 152,100 then use…

Answered: 9. A perpetuity due pays 600 in the…

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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Similar questions

A 15-year annuity pays $1,750 per month, and payments are made at the end of each month. If the APR is 9 percent compounded monthly for the first seven years, and APR of 6 percent compounded monthly thereafter, what is the value of the annuity today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Present value
A perpetuity-due with annual payments consists often level payments of X followed by a series of increasing payments. Beginning with the eleventh payment, each payment is 1.5% larger than the preceding payment. Using an annual effective interest rate of 5%, the present value of the perpetuity is 45,000. Calculate X. B C 1,679 E 1,696 1,737 D 1,763 1,781
There is a perpetuity due in which the payments increase by 5 percent per year, and the present value of the 6’th payment is equal to the present value of the 8’th payment. The first payment is 500 dollars. Find both the effective interest rate and the present value.
An annuity-due makes payments of $15 every other year, with the first payment beginning immediately. The annuity-due makes ten payments. The nominal annual interest rate compounded semiannually is 5%. Calculate the present value of the annuity due. a. 100.0958 O b. 93.2775 O c. 66.7310 d. 124.3700 O e. 133.4620
A perpetuity makes its first annual payment of $110 exactly 17 years from today. The discount rate is 6.1% per annum compounded annually. 1) What is the present value of this perpetuity valued at exactly Year 13? (Round your answer to the nearest cent) 2) What is the present value of this perpetuity valued at exactly Year 0? (Round your answer to the nearest cent)
An annuity is paid half-yearly in arrears at a rate of 9000 per annum, for 11 years. The rate of interest is 3% per quarter-year effective. Calculate the accumulation of the annuity at the end of 11 years. Give your answer to two decimal places.
A 13-year annuity pays $1,400 per month, and payments are made at the end of each month. The interest rate is 7 percent compounded monthly for the first six years and 5 percent compounded monthly thereafter. What is the present value of the annuity?
An annuity pays $54 per year for 28 years. What is the future value (FV) of this annuity at the end of those 28 years, given that the discount rate is 8%? A. $5,148.30 B. $7,207.62 C. $6,177.96 D. $3,088.98
Annuity A has 20 years annual payments as follows:- i) ii) iii) Annuity i) ii) iii) The first payment is 1000 made at the end of the first year. The subsequent payments increase by 3% from the previous years. The effective interest rate is 5% per annum. B has 20 years annual payments as follows:- The first payment is X made at the end of the first year. The subsequent payments increase by X from the previous years. The effective interest rate is 6% per annum. Annuity C is an annuity immediate of 20-year annual level payments with effective interest rate of 7% per annum. Evaluate, (a) Present value of Annuity A (b) X if present value of Annuity A is equal to present value of Annuity B. stelua. [3 marks] (c) Level payment of Annuity C if present value of Annuity C is TWICE the present value of Annuity A. (d) Sum of future value of these annuities at the end of 20 years. 13 marks] Preval 13 marks
(Present value of an annuity due) Determine the present value of an annuity due of $5,000 per year for 8 years discounted back to the present at an annual rate of 14 percent. What would be the present value of this annuity due if it were discounted at an annual rate of 19 percent? a. If the annual discount rate is 14 percent, the present value of the annuity due is $ (Round to the nearest cent.)
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
A 13-year annuity pays $1,200 per month, and payments are made at the end of each month. The interest rate is 13 percent compounded monthly for the first five years and 11 percent compounded monthly thereafter. What is the present value of the annuity?

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