Your grandmother will be gifting you $150 at the end of each month for four years while you attend college. At a discount rate of 3.7 percent, what are these payments worth to you on the day you enter college?
These payments are worth to you on the day you enter college $ 6,682.99
Present value | = | Monthly payment | * | Present value of annuity of 1 | ||||
= | $ 150 | * | 44.55324 | |||||
= | $ 6,682.99 | |||||||
Working: | ||||||||
Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | |||||
= | 44.553239 | i | = | 3.7%/12 | = | 0.003083 | ||
n | = | 4*12 | = | 48 |
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