smartboi62 smartboi62
  • 25-02-2019
  • Mathematics
contestada

If the interest is compounded continuously, what interest rate do you need for a 5000 investment to double in 10 years

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sqdancefan
sqdancefan sqdancefan
  • 06-04-2021

9514 1404 393

Answer:

  about 6.93%

Step-by-step explanation:

The multiplier for compound interest at annual rate r is ...

  e^(rt)

We want that multiplier to be 2 when t=10. Solving for r, we get ...

  2 = e^(10r)

  ln(2) = 10r . . . . . take the natural log

  r = ln(2)/10 ≈ 6.93%

You need a continuous interest rate of about 6.93% for an investment to double in 10 years.

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