Answer:
Periodic payment = $3,881.88 (Approx).
Explanation:
Given:
Present value of annuity = $36,500
Rate = 6.5% = 0.065
Number of payment = 15
Computation:
[tex]Present\ value\ of\ annuity = periodic\ payment[\frac{1-(1+r)^{-n}}{r} ][/tex]
[tex]36,500 = periodic\ payment[\frac{1-(1+0.065)^{-15}}{0.065} ]\\\\36,500 = periodic\ payment[\frac{1-(1.065)^{-15}}{0.065} ]\\\\36,500 = periodic\ payment[\frac{1-0.388826524}{0.065} ]\\\\36,500 = periodic\ payment[\frac{0.611173476}{0.065} ]\\\\36,500 = periodic\ payment[9.40266886 ]\\\\periodic\ payment = 3,881.87658[/tex]
Periodic payment = $3,881.88 (Approx).