Question

In: Economics

How many years will it take money to quadruple if it earns 10% compounded semi-annually?

How many years will it take money to quadruple if it earns 10% compounded semi-annually?

Solutions

Expert Solution

5. annual rate = 10% compounded semi annually

Effective Annual Interest rate = (1 + r/n) ^n - 1

where, r = nominal annual rate

N = no of times compounding

= (1 + 10% / 2)^2 – 1

= (1.05 )^2 – 1

= 0.1025 or 10.25 %

With rule of 144,time it takes to quadruple investment = 144 / 10.25% = 14.05 years


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