Engineering Board Exam Reviewer · Compound Interest · hard

P8,000 is invested at 10% compounded annually and P12,000 at 6% compounded annually. After how many years will the two investments have equal values?

  1. 8 years
  2. 12.5 years
  3. 10 years
  4. 10.95 years

Answer

D. 10.95 years

Solution

Set 8,000(1.10)n=12,000(1.06)n ≤ft(1.10/1.06 )n=1.5. So n= 1.5/ (1.10/1.06)=10.95 years.

More Compound Interest questions

  1. At what nominal rate compounded quarterly will P40,000 grow to P70,000 in 6 years?
  2. How much must be deposited now at 7.5% compounded semiannually to have P500,000 in 7 years?
  3. Find the compound interest earned on P20,000 invested at 6% compounded quarterly for 2 years.
  4. Find the compound amount of P10,000 invested at 6% compounded annually for 5 years.
  5. Find the compound interest earned on P20,000 at 5% compounded annually for 3 years.
  6. Find the compound amount of P15,000 at 8% compounded semi-annually for 4 years.
  7. Find the compound amount of P8,000 at 12% compounded quarterly for 3 years.
  8. Find the present value that will amount to P50,000 in 6 years at 7% compounded annually.
  9. Find the number of years for P5,000 to double at 8% compounded annually.
  10. Find the effective interest rate equivalent to 10% compounded annually.

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