You believe you will need to have saved $590,000 by the time you retire in 30 years in order to live comfortably. If the interest rate is 6% per year, how much must you save each year to meet your retirement goal? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

The amount of money you must save each year to meet your retirement goal is $7,462.86

Explanation:

Acording to the data, we have the following:

Future value =$590,000 , N = 30 years and I = 6%

Therefore, to calculate the amount of money you must save each year to meet your retirement goal you have to use the formula of the future value.

Future value = yearly deposit * FVIFA (N,i)

$590,000 = deposit * FVIFA (30 , 6%)

Deposit = $590,000 / 79.0582 = $7,462.86 . Money to save each year.

$7462.86

Explanation:

Given

FV= $590000

r =6%

n = 30

C =? period payments

So the future value of annuity is appropriate to use

FV = C × {(1+r)^t-1/r}

Then substitute in formula and solve for Annual savings (C)

590000 = C × {(1+0.06)^30-1/0.06}

590000 = C × 79.0582

C = 590000/79.0582

C = $7462.86

whole quiz

1. the sum of all activities involved in getting high-quality products into the marketplace

2.operations

3. the principle of looking at the supply chain as a whole in order to improve the overall flow through the system.

4. produced; performed

5. activities producing tangible products, such as radios, newspapers, buses, and textbooks.

6. activities producing intangible and tangible products, such as entertainment, transportation, and education.

7.   customer focus

8. analyzing a competitor's products to identify desirable improvements

9. the systematic direction and control of the processes that transform resources into finished projects that create value for and provide benefits to consumers.

10. operation management.

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