Question

You want to have $500,000 in today's (real) dollars when you retire in 40 years. The expected inflation rate is 1.1% and the nominal return on your investments is 6.5%. How much money do you have to save now if you can't make any additional deposits?

Answer 1

Answer:

Initial deposit= $62,378.07

Explanation:

First, we need to calculate the nominal value of $500,000 in 40 years:

Future Value= PV*(1+r)^n

r= inflation rate

FV= 500,000*(1.011^40)

FV= $774,490.74

Now, the initial deposit (PV) to be made in the present:

PV= FV/(1+i)^n

i= interest rate

PV= 774,490.74 / (1.065^40)

PV= $62,378.07