Juan purchases an annuity for 3890 dollars that will make 19 annual payments, the first to come in one year. If the effective rate of interest is 10.8 percent, how much is each annual payment?

Respuesta :

Answer:

489.92  

Explanation:

The formula for the  present value of an ordinary annuity below can be used to determine the size of annual payment wherein  the formula is rearranged to make annual payment the subject of the formula:

PV=Annual payment*(1-(1+r)^-n/r

PV=price paid today=3,890

Annual payment= the unknown

r=effective rate of interest=10.8%

n=number of annual payments expected=19

3,890=Annual payment*(1-(1+10.8%)^-19/10.8%

3,890=Annual payment*(1-(1.108)^-19/0.108

3,890=Annual payment*(1-0.142476931 )/0.108

3,890=Annual payment*0.857523069 /0.108

Annual payment=3,890*0.108/0.857523069

Annual payment= 489.92