A. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate.   An annuity that pays $500 at the end of every six months   An annuity that pays $1,000 at the end of each year   An annuity that pays $1,000 at the beginning of each year   An annuity that pays $500 at the beginning of every six months

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 8MC: Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future...
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8. Present value of annuities and annuity payments

The present value of an annuity is the sum of the discounted value of all future cash flows.
 
A. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate.
 
An annuity that pays $500 at the end of every six months
 
An annuity that pays $1,000 at the end of each year
 
An annuity that pays $1,000 at the beginning of each year
 
An annuity that pays $500 at the beginning of every six months
 
 
B. An ordinary annuity selling at $2,514.15 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 8.00% during this time, the annual annuity payment (PMT) will be                  .
 
C. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won                   —assuming annual interest rate of 8.00%.
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