Question

In: Finance

Why is the future value of annuity due always greater than the future value of an...

Why is the future value of annuity due always greater than the future value of an ordinary annuity assuming everything equals 2?

Why the present value of an annuity due is always greater that than the future value of an ordinary annuity assuming everything else equals?

Solutions

Expert Solution

The only difference between ordinary annuity and annuity due is that the payments occur at the beginning of each period under annuity due while they occur at the end of each period under ordinary annuity

hence, one period extra interest is earned in case of annuity due when compared to ordinary annuity while calculating the future value. Also, one period less discounting in annuity due while calculating present value.

Therefore, future value as well as present value of annuity due is greater than those of ordinary annuity.


Related Solutions

b)Everything else equal, which annuity has the greater future value: an     annuity or an annuity due?...
b)Everything else equal, which annuity has the greater future value: an     annuity or an annuity due? Why? c) What is the difference between an ordinary annuity and an annuity due d) All else equal, which annuity has the greater present value: an ordinary annuity or an annuity due? Why?
FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE What's the future value of a 6%, 5-year ordinary annuity...
FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE What's the future value of a 6%, 5-year ordinary annuity that pays $200 each year? Round your answer to the nearest cent. $   If this was an annuity due, what would its future value be? Round your answer to the nearest cent. $  
Problem 5-6 Future value: annuity versus annuity due a. What's the future value of a 8%,...
Problem 5-6 Future value: annuity versus annuity due a. What's the future value of a 8%, 5-year ordinary annuity that pays $100 each year? Round your answer to the nearest cent. b. If this was an annuity due, what would its future value be? Round your answer to the nearest cent.
Future Value: Ordinary Annuity versus Annuity Due What is the future value of a 3%, 5-year...
Future Value: Ordinary Annuity versus Annuity Due What is the future value of a 3%, 5-year ordinary annuity that pays $800 each year? Round your answer to the nearest cent. $ If this were an annuity due, what would its future value be? Round your answer to the nearest cent. $
Why does an annuity due have a higher present value than a similar ordinary annuity?
Why does an annuity due have a higher present value than a similar ordinary annuity?
12.) Consider the future value of an ordinary annuity and an annuity due. a.) Define each...
12.) Consider the future value of an ordinary annuity and an annuity due. a.) Define each and explain the difference between these two types of annuities. (Hint: Begin by defining each. Then explain the difference. Use complete sentences.) b.) Which of these plans will produce a greater value at the end of the total time period for the annuity? Why is this so? (Use complete sentences to answer.) Show work
5-6 Future Value: Annuity Versus Annuity Due What’s the future value of a 7%, 5-year ordinary...
5-6 Future Value: Annuity Versus Annuity Due What’s the future value of a 7%, 5-year ordinary annuity that pays $300 each year? If this was an annuity due, what would its future value be?
14.1.19 Find the future value of an annuity due with an annual payment of ​$11 comma...
14.1.19 Find the future value of an annuity due with an annual payment of ​$11 comma 000 for three years at 3​% annual interest using the simple interest formula. How much was​ invested? How much interest was​ earned? What is the future value of the​ annuity? ​$ nothing ​(Round to the nearest cent as​ needed.) Enter your answer in the answer box and then click Check Answer. 2 parts remaining New problem 14.1.23 Find the future value of a quarterly...
Find the periodic payment for the following simple annuity due. Future Value $21,200 Present Value _________?...
Find the periodic payment for the following simple annuity due. Future Value $21,200 Present Value _________? Payment Period 1 month Term of Annuity 10 years Interest Rate 11% Conversion Period monthly The periodic payment is ​$______ . ​(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as​ needed.)
Annuity Due Converting an annuity to an annuity due decreases the present value. Generally speaking, this...
Annuity Due Converting an annuity to an annuity due decreases the present value. Generally speaking, this statement is True or False? Explain it. [“Converting an annuity to an annuity due” means if you always make payment at the end of each year, now you change to make the payment at the beginning of each year.] You believe you will need to have saved $1,000,000 by the time you retire in 40 years in order to live comfortably.  In order to meet...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT