Engineering Board Exam Reviewer · Compound Interest · medium

At what nominal rate compounded quarterly will P40,000 grow to P70,000 in 6 years?

  1. 12.5%
  2. 9%
  3. 9.44%
  4. 10%

Answer

C. 9.44%

Solution

n=6(4)=24. 70,000=40,000(1+i)24 1+i=(1.75)1/24=1.02359, so i=2.359% per quarter. The nominal rate is 4(2.359%)=9.44%.

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  7. Find the present value that will amount to P50,000 in 6 years at 7% compounded annually.
  8. Find the number of years for P5,000 to double at 8% compounded annually.
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