A perpetuity pays $9600 per half-year, as follows: • in odd-numbered half-year, a payment of $9600 is made at the begin of the half-year. • in even-numbered half-year, a payment of $4800 is made at the end of each quarter. Interest is at annual effective rate of 12.03 %. At the begin of an odd-numbered period, this perpetuity is exchanged for another of equal value which provides monthly payments, the first payment due 39 month hence. What is the monthly payment of the new perpetuity ?

A perpetuity pays $9600 per half-year, as follows: • in odd-numbered half-year, a payment of $9600 is made at the begin of the half-year. • in even-numbered half-year, a payment of $4800 is made at the end of each quarter. Interest is at annual effective rate of 12.03 %. At the begin of an odd-numbered period, this perpetuity is exchanged for another of equal value which provides monthly payments, the first payment due 39 month hence. What is the monthly payment of the new perpetuity ?

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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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
Find the future values of the following ordinary annuities: FV of $700 paid each 6 months for 5 years at a nominal rate of 8% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $350 paid each 3 months for 5 years at a nominal rate of 8% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in part b ends up larger than the one in part a. Why does this occur?
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
Determine the nominal annual rate of interest of the following ordinary general annuity. Periodic Term Conversion Period Payment $81 semi-annually Present Value $1700 Payment Interval 3 months SCCCS The nominal annual rate of interest is (Round to two decimal places as needed.) 7 years % compounded semi-annually.
14. Annuity A pays X at the end of each year. The first payment occurs at time 6 years, and the last payment occurs at time 10 years. Annuity B pays $81.06 at the end of each year. The first payment occurs at time 1 year, and the last payment occurs at time 5 years. The current value of annuity B at the end of five years is $475.54. The present value at time 0 of annuity A is twice the present value at time 0 of annuity B. Determine X. D 350 E 387 A 238 C 313 B 275
Ee 278.
For the following ordinary annuity, determine the size of the periodic payment. Present Future Value Value Payment Period $4,400.00 1 quarter Term of Annuity Interest Rate 16 years, 3 months Conversion Period 8.3% quarterly The periodic payment is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
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
K Calculate the total interest and principal portions for the series of monthly payments of $166.95 that occur during year 7, for an ordinary annuity of $13,500 with 8.5% interest compounded quarterly for 10 years. Round your answers to two decimal places. Principal Number Interest Number
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.
K (Compound annuity) What is the accumulated sum of each of the following streams of payments? a. $500 a year for 8 years compounded annually at 10 percent. b. $104 a year for 7 years compounded annually at 9 percent. c. $32 a year for 12 years compounded annually at 11percent. d. $21 a year for 6 years compounded annually at 6 percent.
Determine the nominal annual rate of interest of the following ordinary general annuity. Term Conversion Period Present Value Periodic Payment Payment Interval $4600 $787.91 1 year 9 years monthly The nominal annual rate of interest is (Round to two decimal places as needed.) % compounded monthly.

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