Respuesta :
Answer:
Using equation
F=P(1+i)^n
n=5
F=500,000
P=325,000
500,000=325,000(1+i)^5i
i=8.99%
Answer:
9%
Explanation:
to calculate the compounding growth rate we can use the future value formula:
future value = present value x (1 + r)ⁿ
- future value = $500,000
- present value = $325,000
- r = growth rate compounded yearly = ?
- n = 5 years
$500,000 = $325,000 x (1 + r)⁵
(1 + r)⁵ = $500,000 / $325,000 = 1.53846
1 + r = ⁵√1.53846 = 1.08997
r = 1.08997 - 1 = 0.08997 or 8.997%≈ 9%
Even though the present value formula is used to calculate compounding interest rate, it can also be used to calculate compounding growth rate.