SOLUTION: An investor wanted to have 1 million in his account earning 8% compounded semiannually in 5 years. How much should he invest now?

Algebra.Com
Question 1175892: An investor wanted to have 1 million in his account earning 8% compounded semiannually in 5 years. How much should he invest now?
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!






= =


Ans: The investor needs to invest $675564.17 today to have $1 million in 5 years.


Check: I'll just compute the value of the investment at each 6mo compounding interval:
time(yrs) value ($)
--------- ---------
0 675564.17
0.5 702586.74
1.0 730690.21
1.5 759917.81
2.0 790314.53
2.5 821927.11
3.0 854804.19
3.5 888996.36
4.0 924556.21
4.5 961537.46
5.0 1000000.00

RELATED QUESTIONS

Suppose that Jake plans to deposit money into an account earning 5.9% compounded monthly. (answered by Theo)
How much should you invest in an account earning 4% compounded quarterly to get $1000... (answered by jim_thompson5910)
You choose to invest your $3410 income tax refund check (rather than spend it) in an... (answered by greenestamps)
how much money should be deposited today in an account that earns 8% compounded... (answered by Alan3354)
how much money should be deposited today in an account that earns 8% compounded... (answered by lwsshak3)
How much money should be deposited today in an account that earns 5% compounded... (answered by rfer)
The present value of an account earning 8 percent interest compounded monthly is $2400.... (answered by Theo)
how much should jonathan invest now at 2% compounded semiannually if he needs to have... (answered by josgarithmetic)
Pete figures he'll need a new car in about 5 years. He believes he'll need about $15,000... (answered by lwsshak3)