SOLUTION: Mr. Nakamura wants to make monthly deposits into an annuity for his grandchild so that $10,000 will be available in 7 years. If the interest rate is 7% compounded monthly, find the
Algebra.Com
Question 1131685: Mr. Nakamura wants to make monthly deposits into an annuity for his grandchild so that $10,000 will be available in 7 years. If the interest rate is 7% compounded monthly, find the monthly deposit. (Round your final answer to two decimal places.)
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
FV(r/n)=payment*(1+(r/n)^84-1, the 84 number of compoundings
round at end
10000(.07/12)=p*(1+(.07/12))^84-1
p=$92.59
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Use the standard formula for an annuity, with contributions of x monthly for 7 years (84 total contributions), with an annual interest rate of 7% compounded monthly, with a future value of $10,000...
Evaluate the expression in parentheses, then divided 10000 by the result to find the monthly contribution x.
I recommend evaluating the expression one small step at a time; if you try to enter it in your calculator all at once, it is far too easy to get parentheses in the wrong places, giving ridiculous answers.
(answer: $92.59)
RELATED QUESTIONS
Mr. Nakamura wants to make monthly deposits into an annuity for his grandchild so that... (answered by ikleyn,MathTherapy)
$100 is deposited monthly into an ordinary annuity that earns 1.8% per month compounded... (answered by Boreal)
Mr. Thompson wants to make monthly deposits into an annuity for his child so that $10,000 (answered by ikleyn)
Assume that you make monthly payments of $425 into an ordinary annuity paying 6%... (answered by MathLover1)
A hospital administrator deposits $10,000 into an account that earns 9% annual interest... (answered by Theo)
Mr Hammond is 45 years of age and has a life expectancy of 10 more years. He
wishes to... (answered by ikleyn,MathTherapy)
Eugene began to save for his retirement at age 20, and for 10 years he put $ 550 per... (answered by ikleyn)
Find the amount accumulated FV in the given annuity account. (Assume end-of-period... (answered by ikleyn)
Assume that you make monthly payments of $ 525 into an ordinary annuity paying 8%... (answered by ikleyn)