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Time to Double or Triple an InvestmentThe formula t=lnmnln1+rn

can be used to find the number of years t required to multiply an investment m times when r is the per annum interest rate compounded n times a year.

(a) How many years will it take to double the value of an IRA that compounds annually at the rate of 12%?

(b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of 6%?

(c) Give a derivation of this formula.

Short Answer

Expert verified

(a) 6.12 will take to double the value of an IRA that compounds annually at the rate of 12%?

Step by step solution

01

Step 1. Given Information

We have the following conditions

m=2n=1r=12%t=?

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