Question

Jenny, who is married and the mother of three, is 25 years old and expects to work until 70. She earns $45,000 per year. Jenny expects inflation to be 3% over her working life, and the appropriate risk-free discount rate is 5%. Her personal consumption is equal to 25% of her after-tax earnings, and her combined federal and state marginal tax bracket is 15%. What is the amount of life insurance necessary for Jenny using the Human Life Value method

Answer 1

$855,903.20

Step-by-step explanation:

Real discounting rate=> i= [i'-f]/[1+f]. Where i is the real interest rate. i' is the nominal interest rate which is given as 5% and f is the rate of inflation

i = (5%-3%)/1+3%)

i = 2/1.3

i = 1.94%

Her after tax earnings = 45,000*(1-0.15) = $38,250

Personal consumption = 25% of this, 38,250*0.75 = $28,688.

We are discounting her earnings back 45 years at 1.94%. The equation will be: 28,688 * {1-(1+0.01940)^-45} / {0.01940}

= 28,688 * {1 - 0.42120322099] / 0.01940

= 28,688 * 29.83488551597938

= 855903.1956824165

= $855,903.20

So, the amount of life insurance necessary for Jenny using the Human Life Value method is $855,903.20