Question

Care facilities are expensive. Your mother wants a single room with her own bath-room. The annual estimated cost is $100,000, but your mother does not anticipate entering the facility for four years. Her life expectancy when she enters the facility will be three years. Currently she has $200,000 in assets that are earning 6 percent. How much must she invest annually to meet her anticipated financial needs

Answer 1

$3,384.31

Step-by-step explanation:

first of all we must determine how much money do you need to pay for 3 years of the facility:

PV = $100,000 x 2.6730 (PV annuity factor, 6%, 3 periods) = $267,300

if your mother does not invest more money, she will have $200,000 x (1 + 6%)⁴ = $252,495

this means that your mother will be $267,300 - $252,495 = $14,805 short

her annual contribution = $14,805 / 4.3746 (FV annuity factor, 6%, 4 periods) = $3,384.31