what is the present value of $500 received at the end of each of the next five years worth to you today at the appropriate discount rate of 6 percent?
Solution: | ||||
Present value =$2,106.18 | ||||
Working Notes: | ||||
present value of annuity = Px[ 1-1 /(1 + i)^n)]/ i | ||||
P=Annual payment = $500 | ||||
i= interest rate per period = 6% = 0.06 | ||||
n= no. Of period = 5 | ||||
present value of annuity = Px[ 1-1 /(1 + i)^n)]/ i | ||||
= 500 x (1-1/(1+0.06)^5)/0.06 | ||||
=2,106.181893 | ||||
=$2,106.18 | ||||
present value of $500 received at the end of each of the next five years worth to you today is the present value of annuity of $500 per annum @ 6% is $2,106.18 | ||||
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