Time to Double or Triple an Investment The formula can be

Chapter 6, Problem 67

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Time to Double or Triple an Investment The formula 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.t = ln m n lna1 + r n b

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