Question

You have 40 years left until retirement and want to retire with $5 million. Your salary is paid annually, and you will receive $50,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn a 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?

Answer 1

16.67%

Step-by-step explanation:

Calculation to determine what percentage of your salary must you save each year

First step is to calculate the Annual savings

Annual savings=$5 million*[(10%-3%)/(1+0.1)^40-(1+0.03)^40]

Annual savings=$5 million*0.07/(1.1^40-1.03^40)

Annual savings=$8333.88

Now let determine the percentage of the salary you must save each year

Proportion of savings=$8333.88/$50,000

Proportion of savings=0.1667*100

Proportion of savings=16.67%

Therefore the percentage of your salary that you must save each year is 16.67%