Engineering Board Exam Reviewer · Continuous Compounding · medium

How long will it take money to double if invested at 7% compounded continuously?

  1. ≈9.90 years
  2. ≈10.5 years
  3. ≈8.66 years
  4. ≈14.3 years

Answer

A. ≈9.90 years

Solution

2=e0.07t t= 2/0.07 9.90 years.

More Continuous Compounding questions

  1. Find the present value needed to accumulate to P20,000 in 4 years at 5% compounded continuously.
  2. Find the nominal rate compounded continuously equivalent to an effective annual rate of 10.52%.
  3. For the same nominal rate and time period, which yields a higher compound amount: continuous compounding or annual compounding?
  4. Find the compound amount of P10,000 invested at 6% compounded continuously for 5 years.
  5. Find the effective annual rate equivalent to a nominal rate of 8% compounded continuously.

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