You want to have $2 million in real dollars in an account when you retire in 35 years. The nominal return on your investment is 9.94% and the inflation rate is 3.2%. What is the real amount you must deposit each year to achieve your goal?
a. $20,403.
b. $7,482.
c. $16,017.
d. $18,887.
e. $19,711.

Respuesta :

Answer:

b. $7,482.

Step-by-step explanation:

20,403 nets $5,996,106 after 35 years.

7,482 nets $2,198,837 after 35 years.

$7,482 is over 2 million and the smallest amount, so you don't have to solve for the other ones.

The real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

What is invested amount?

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

First, we will calculate the real rate of interest:

r = [(1+nominal rate)/(1+inflation rate)] - 1

Nominal rate = 9.94% = 0.094

Inflation rate = 3.2% = 0.032

r = [(1+0.094)/(1+0.032)] - 1

After calculating,

r = 0.0653 or 6.53%

Deposit amount each year:

Future value = PV[(1+r)ⁿ - 1]/(r)

2000000 = PV[(1+0.0653)³⁵ - 1]/(0.0653)

After calculating,

PV = $16020.544

The value $16020.544 is near the $16,017.

Thus, the real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

Learn more about the invested amount here:

brainly.com/question/16995381

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