Ron is 30 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $1,270 for 10 years. If Ron contributes 5% of his monthly income to a 401(k) paying 2.75% compounded monthly, will he reach his goal for retirement given that his monthly income is $1,571.12?
If he does not make his goal then state by what amount he will need to supplement his income?
Round all answers to the nearest cent.

Respuesta :

Answer:

Ron will need to supplement his monthly contribution by 137,65

Explanation:

We can use a financial calculator to solve thos issue.

First we need to determine his monthly contribution. Which is 5% of his monthly income which is 1571,12 x 5% =78,56 monthly contribution.

Secondly we need to determine the number of periods which he contributes.

35 x 12 (converting years into months) = 420 months

Now we will work out the future value of his contributions using a financial calculator. We will use the following keystrokes on the financial calculator PMT = 78,56 N = 420 I = 2,75%/12

COMP FV = 55375,45

required amount of capital = 1270x12x10 = 152400

Now we need to calculate the difference between the 2 amounts. 152400 - 55375,45 = 97024,55

Using a financial calculator again we can determine the monthly contribution. N = 420 I = 2,75%/12 FV = 97024,55 COMP PMT

COMP PMT  = 137,65

Thus he will need to supplement his monthly contribution by 137,65 to get to the required amount of monthly income from 65 onwards. (answer may differ by a dollar or two due to rounding)

Answer:

It's C.

Explanation:

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