SOLUTION: Gabriel invested $53,300 in a mutual fund at 3.4% compounded quarterly. After 4 years, the interest rate was changed to 6.4% compounded monthly. a) How much was the value of the

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Gabriel invested $53,300 in a mutual fund at 3.4% compounded quarterly. After 4 years, the interest rate was changed to 6.4% compounded monthly. a) How much was the value of the      Log On

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Question 1192860: Gabriel invested $53,300 in a mutual fund at 3.4% compounded quarterly. After 4 years, the interest rate was changed to 6.4% compounded monthly.
a) How much was the value of the fund 8 years after the rate change? $

b) How much was the total compound interest earned during the whole term?

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The calculations are straightforward; I'll let you do them (with a calculator!)....

Starting value: 53300

After 4 years at 3.4% compounded quarterly: %2853300%29%28%281%2B.034%2F3%29%5E%284%2A4%29%29

After the additional 8 years at 6.4% compounded monthly: %2853300%29%28%281%2B.034%2F3%29%5E%284%2A4%29%29%28%281%2B.064%2F12%29%5E%288%2A12%29%29

Then the interest earned is of course that final value, minus the original $53,300.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


            The solution by other tutor is not quite accurate.
            I came to bring a correct solution.


Starting value: 53300


After 4 years at 3.4% compounded quarterly: 53300%2A%281%2B.034%2F4%29%5E%284%2A4%29


After the additional 8 years at 6.4% compounded monthly the final value is 

    53300%2A%281%2B.034%2F4%29%5E%284%2A4%29%2A%281%2B.064%2F12%29%5E%288%2A12%29 = 101697.33  dollars.    ANSWER to question (a)


The interest earned is the final value minus the original $53,300, i.e. 

    101697.33 - 53000 = 48697.33.                                  ANSWER to question (b)

Solved.