Find the present value of an annuity due with a monthly payment of $500 at 6% compounded monthly for 12 years.
Present value | = | Monthly cash flow | * | Present value of annuity due of 1 | |||||
= | $ 500.00 | * | 102.9871 | ||||||
= | $ 51,493.56 | ||||||||
Working: | |||||||||
Present value of annuity due of 1 | = | ((1-(1+i)^-n)/i)*(1+i) | Where, | ||||||
= | ((1-(1+0.005)^-144)/0.005)*(1+0.005) | i | = | 6%/12 | = | 0.005 | |||
= | 102.9871169 | n | = | 12*12 | = | 144 |
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