Mathematics, 21.07.2019 23:00 amllamas4972
4. find the present value of the annuity. amount per payment: $4,725 payment at end of each: 6 months number of years: 15 interest rate: 10% compounded: semiannually $72,634.83 $35,938.73 $32,242.03 $68,951.03
Answers: 1
![PV=P[ \frac{1-(1+ \frac{r}{n})^{-kt} }{ \frac{r}{n} } ]](/tpl/images/0117/2840/edc52.png)
is the present value 
is the periodic payment 
is the interest rate in decimal form 
is the number of times the interest is compounded per year 
is the number of payments per year 
is the number of years 
and 
. To convert the interest rate to decimal form, we are going to divide it by 100%:
. Similarly, since the payment is made at the end of each 6 months, it is made 2 times per year; therefore, 
.![PV=4725[ \frac{1-(1+ \frac{0.1}{2})^{-(2)(15)} }{ \frac{0.1}{2} } ]](/tpl/images/0117/2840/268e6.png)
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4. find the present value of the annuity. amount per payment: $4,725 payment at end of each: 6 mon...
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