SOLUTION: if $ 250,000 is to grow $ 700,000 over an 8 year period at what annual rate must it be invested given that interest is compounded quaterly.

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Question 1147554: if $ 250,000 is to grow $ 700,000 over an 8 year period at what annual rate must it be invested given that interest is compounded quaterly.
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.

700000 = 250000%2A%281%2Br%2F4%29%5E%288%2A4%29


700000%2F250000 = %281%2Br%2F4%29%5E32


2.8 = %281%2Br%2F4%29%5E32


ln(2.8) = 32*ln(1 + r/4)


ln%281+%2B+r%2F4%29 = ln%282.8%29%2F32 = 0.032176


1+%2B+r%2F4 = e%5E0.032176 = 1.0327


r%2F4 = 0.0327


r = 4*0.0327 = 0.1308.      ANSWER.


Answer.  Annual rate should be about 13%.