Question

Billy Dan and Betty Lou were recently married and want to start saving for their dream home. They expect the house they want will cost approximately $247,000. They hope to be able to purchase the house for cash in 12 years. To determine the appropriate discount factor(s) using tables, click here to view Tables I, II, III, or IV in the appendix. Alternatively, if you calculate the discount factor(s) using a formula, round to six (6) decimal places before using the factor in the problem.

Answer 1

Answer:

Billy Dan and Betty Lou have to invest $11,551 each year to purchase their dream home at the end of 12 years

Explanation:

The requirement of this is missing, that is provided below

How much will Billy Dan and Betty Lou have to invest each year to purchase their dream home at the end of 12 years? Assume an interest rate of 10 percent.

Use the following formula to calculate the amount of yearly investment.

Cost to purchase the house = Annual investment x ( 1 + Interest rate )^numbers of years ) - 1 ) / interest rate

Where

Cost to purchase the house = $247,000

Interest rate = 10%

Numbers of years = 12 years

Annual investment = ?

Placing values in the formula

$247,000 = Annual investment x ( 1 + 10% )^12 ) - 1 ) / 10%

$247,000 = Annual investment x 21.384284

Annual investment = $247,000 / 21.384284

Annual investment = $11,550.54

Annual investment = $11,551

Hence, they have to invest $11,551 each year to be able to purchase the house for cash in 12 years.