Answer:
Compounding interest rate, r = 10.41%
Explanation:
As the investment will be doubled after 7 years from now, the future value of the current investment will be = $10,000 × 2 = $20,000
Therefore,
Number of periods (years), n = 7
Future value, FV = $20,000
Principal = Present Value, PV = $10,000
we have to determine the compounding interest rate, r.
We know,
r = ![[(\frac{FV}{PV})^{\frac{1}{n}} - 1]](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7BFV%7D%7BPV%7D%29%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%20-%201%5D)
Putting the values into the formula, we can get,
r = ![[(\frac{20,000}{10,000})^{\frac{1}{7}} - 1]](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B20%2C000%7D%7B10%2C000%7D%29%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%20-%201%5D)
or, r =![(2^{\frac{1}{7}} - 1)](https://tex.z-dn.net/?f=%282%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%20-%201%29)
With the help of calculator, we can find the value of
= 1.1041
or, r = (1.1041 - 1)
or, r = 0.1041
Therefore, interest rate = 10.41%