Jonathan earns $90,000 a year, is 44 years old, and anticipate working until age 64. He has asked you how much life insurance he should consider using the human life value approach. He would like to take into account inflation, and wants the amount of his coverage based on inflation eroding buying power over time. Using a rate or return assumption of 6%, and inflation rate of 3%, approximately how much life insurance should Jonathan obtain?
A: $1,310,000
B: $1,390,000
C: $1,450,000
D: $1,260,000
Year | Cash Flow |
Discounting Factor [1/(1.06^year)] |
PV (cash flow*discounting factor) |
1 | 90000 | 0.943396226 | 84905.66038 |
2 | 92700 | 0.88999644 | 82502.66999 |
3 | 95481 | 0.839619283 | 80167.68876 |
4 | 98345.43 | 0.792093663 | 77898.79191 |
5 | 101295.79 | 0.747258173 | 75694.10912 |
6 | 104334.67 | 0.70496054 | 73551.82301 |
7 | 107464.71 | 0.665057114 | 71470.16765 |
8 | 110688.65 | 0.627412371 | 69447.42705 |
9 | 114009.31 | 0.591898464 | 67481.93383 |
10 | 117429.59 | 0.558394777 | 65572.06778 |
11 | 120952.47 | 0.526787525 | 63716.25454 |
12 | 124581.05 | 0.496969364 | 61912.96432 |
13 | 128318.48 | 0.468839022 | 60160.71061 |
14 | 132168.03 | 0.442300964 | 58458.04899 |
15 | 136133.08 | 0.417265061 | 56803.57591 |
16 | 140217.07 | 0.393646284 | 55195.92753 |
17 | 144423.58 | 0.371364419 | 53633.77864 |
18 | 148756.29 | 0.350343791 | 52115.84151 |
19 | 153218.98 | 0.33051301 | 50640.86486 |
20 | 157815.54 | 0.311804727 | 49207.63284 |
PV = (sum of PVs) |
1310537.939 |
Correct Answer is A. $1,310,000
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