Steven, age 43, earns $80,000 annually; and his wage replacement ratio has been determined to be 80%. He expects inflation will average 3% for his entire life expectancy. He expects to work until 68, and live until 90. He anticipates an 8% return on his investments. Additionally, Social Security Administration has notified him that his annual retirement benefit, in today's dollars will be $26,000. Using the capital needs / annuity method, calculate how much capital Steven will need to be able to retire at age 68.

Respuesta :

Answer:

Capital needed = $1,061,342.10

Explanation:

Description                                                                              Amount

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Annual Savings = $80,000 x 80%                                       $64,000.00

Inflation Rate                                                                                  3.00%

Period = 68 years - 43 years                                                      25 years

Future Value (Annual Savings) = $64,000 x (1+3%)^25      $134,001.79

Future Value (Social Security) = $26,000 x (1+3%)^25        $54,438.23

PMT = $134,001.79 - $54,438.23                                          $79,563.56

Inflation Adjusted Rate = (1.08/1.03) - 1                                          4.85%  

Period = 90 years - 68 years                                                     22 years  

Capital needed = PV(4.85%,22,-79,563.56)               $1,061,342.10

Hope this helps!