In: Finance
Solomon contributed $20,000 to his RRSP at the time when his marginal tax rate was 52%.At retirement,which he anticipated being 20years from now,he expects to continue to have a marginal tax rate of 52%.Based on a discount rate of 5%,what is the present value of the amount of tax solomon will pay on a withdrawal of $20,000 from his RRSP in his first year of retirement ?
Withdrawal at end of year retirement = $20,000
Present value = 20,000 / (1+5%)^20 = $10,400
Value at start of year | Returns | Value at end of year | Discount factor | Present value | Tax payment | |
1 | 20,000 | 5% | 21,000 | 0.952 | 20000 | |
2 | 21,000 | 5% | 22,050 | 0.907 | 20000 | |
3 | 22,050 | 5% | 23,153 | 0.864 | 20000 | |
4 | 23,153 | 5% | 24,310 | 0.823 | 20000 | |
5 | 24,310 | 5% | 25,526 | 0.784 | 20000 | |
6 | 25,526 | 5% | 26,802 | 0.746 | 20000 | |
7 | 26,802 | 5% | 28,142 | 0.711 | 20000 | |
8 | 28,142 | 5% | 29,549 | 0.677 | 20000 | |
9 | 29,549 | 5% | 31,027 | 0.645 | 20000 | |
10 | 31,027 | 5% | 32,578 | 0.614 | 20000 | |
11 | 32,578 | 5% | 34,207 | 0.585 | 20000 | |
12 | 34,207 | 5% | 35,917 | 0.557 | 20000 | |
13 | 35,917 | 5% | 37,713 | 0.530 | 20000 | |
14 | 37,713 | 5% | 39,599 | 0.505 | 20000 | |
15 | 39,599 | 5% | 41,579 | 0.481 | 20000 | |
16 | 41,579 | 5% | 43,657 | 0.458 | 20000 | |
17 | 43,657 | 5% | 45,840 | 0.436 | 20000 | |
18 | 45,840 | 5% | 48,132 | 0.416 | 20000 | |
19 | 48,132 | 5% | 50,539 | 0.396 | 20000 | |
20 | 50,539 | 5% | 53,066 | 0.377 | 20000 | 10400 |
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