Question

Your parents will retire in 19 years. They currently have $300,000, and they think they will need $1 million at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Do not round intermediate calculations. Round your answer to two decimal places.

Answer 1

Answer:

rate = 6.54%

Explanation:

we need to find the rate at which a capital of 300,000 becomes 1,000,000 in a period of time of 19 years.

So we build the following equation:

$300,000 (1+r)^{19} =1,000,000$

$(1+r)^{19} =1,000,000 \div 300,000$

$r=\sqrt[19]{1,000,000 \div 300,000}-1$

rate = 0.065417765 = 6.54% after rounding

This will be the rate my parent will require to generate 1,000,000 in 19 years with their current savings of 300,000.