contestada

What rate of interest compounded annually is required to triple an investment in 10 years?

Respuesta :

Answer:

The interest rate should be 11.6%.

Step-by-step explanation:

Let us assume that at r% rate of interest compounded annually is required to triple an investment of $P in 10 years.

So, using the formula of compound interest, we can write

[tex]3P = P(1 + \frac{r}{100})^{10}[/tex]

⇒ [tex]3 = (1 + \frac{r}{100})^{10}[/tex]

⇒ [tex](1 + \frac{r}{100}) = 1.116[/tex]

⇒ [tex]\frac{r}{100} = 0.116[/tex]

r = 11.6 %

Therefore, the interest rate should be 11.6%. (Answer)