Question

In: Finance

Determine the accumulated value of an annuity of $50 a month for 25 years if interest...

Determine the accumulated value of an annuity of $50 a month for 25 years if interest is a) 8% compounded monthly, b) j12 = 3%.

Solutions

Expert Solution

$50 a month for 25 years

a) r = 8%/12 = 0.006666666667 per month

PMT = 50

n = 25 * 12 = 300 monthly payments

Accumulated value, FV

The accumulated value at the end of 25 years is $47,551.31973375

b) j12 = 3%

r = 3%/12 = 0.0025

n = 300

PMT = 50

The accumulated value is $22,300.391154


Related Solutions

An annuity pays $10 per month for 50 years. What is the future value (FV) of...
An annuity pays $10 per month for 50 years. What is the future value (FV) of this annuity at the end of that 50 years given that the interest rate is 5%? Since your first birthday, your grandparents have been depositing $1000 into a savings account on every one of your birthdays. The account pays 4% interest annually. Immediately after your grandparents make the deposit on your 18th birthday, what will be the amount of money in your savings account?...
Find the accumulated value of $2,560 at the end of twelve years if the nominal interest...
Find the accumulated value of $2,560 at the end of twelve years if the nominal interest rate was 2% convertible monthly for the first three years, the nominal rate of discount was 3% convertible semiannually for the next two years, the nominal rate of interest was 4.2% convertible once every two years for the next four years, and the annual effective rate of discount was 0.058 for the last three years. (Round your answer to the nearest cent.)
Present value of an annuity    Consider the following case.   Amount of annuity Interest rate Period​ (years)...
Present value of an annuity    Consider the following case.   Amount of annuity Interest rate Period​ (years) ​$44,000 12​% 13 a.  Calculate the present value of the annuity assuming that it is ​(1) An ordinary annuity. ​(2) An annuity due. b.  Compare your findings in parts a​(1) and a​(2). All else being​ identical, which type of annuity—ordinary or annuity due—is ​preferable? Explain why. The present value of the ordinary annuity is____.  (Round to the nearest​ cent.)
A 50-year annuity with an annual interest rate of 8%. In the first 20 years, $1000...
A 50-year annuity with an annual interest rate of 8%. In the first 20 years, $1000 was deposited at the beginning of each year, and in the next 30 years, $1400 was deposited at the beginning of each year. Calculate the value of this annuity at the end of the 40th year.
In how many years will $18,000 have an accumulated value of $20,642.15 if interest is 3.8%...
In how many years will $18,000 have an accumulated value of $20,642.15 if interest is 3.8% compounded monthly? Round the value of N to the higher whole number (e.g. if N = 2.13 it becomes N = 3), and Years to two decimal places if necessary.
Future value of an annuity  Amount of annuity Interest rate Deposit period​ (years) ​$1,000 8​% 10...
Future value of an annuity  Amount of annuity Interest rate Deposit period​ (years) ​$1,000 8​% 10 a.  Calculate the future value of the​ annuity, assuming that it is ​(1) An ordinary annuity. ​(2) An annuity due. b.  Compare your findings in parts a​(1) and a​(2). All else being​ identical, which type of annuity long dash—ordinary or annuity due long dash—is preferable as an​ investment? Explain why. a.​ (1) The future value of the ordinary annuity is ​$____.   ​(Round to the...
Amount of annuity-$32,000 Interest rate-9% Period (years)-11 a. Calculate the present value of the annuity assuming...
Amount of annuity-$32,000 Interest rate-9% Period (years)-11 a. Calculate the present value of the annuity assuming that it is ​(1) An ordinary annuity. ​(2) An annuity due. b. Compare your findings in parts a​(1) and a​(2). All else being​ identical, which type of annuity—ordinary or annuity due—is ​preferable? Explain why.
Michael deposits $1000 at the end of each year for 10 years. Determine the accumulated value...
Michael deposits $1000 at the end of each year for 10 years. Determine the accumulated value of these deposits at the end of 10 years if the interest rate is 5% per annum for the first 5 years and 6% per annum thereafter, compounded annually throughout.
Determine the accumulated amount of an annuity consisting of 10 payments of P20,000 each. The payment...
Determine the accumulated amount of an annuity consisting of 10 payments of P20,000 each. The payment is made at the beginning of each month. Money is worth 10% compounded semi-annually. *CASH FLOW Diagram Needed
What is the future value of a $600 annuity payment over five years if interest rates...
What is the future value of a $600 annuity payment over five years if interest rates are 6 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT