Answer:
Equivalent Annual Annuity =$30,548.09
Explanation:
<em>The equivalent annuity is the annual cash cash flows that is the same in value to the present value of the total cost associated with providing the CCTV coverage</em>.
Equivalent Annual Annuity = Total PV of cost /Annuity factor
To determine the total prsent value of cost associated with CCTV would sum the present value of the additional payment for 10 years and the initial cost.
Initial cost - 45,000
Additional payment = 25,000
PV of additional payment = A× 1-(1+r)^(-n)/r
= 25,000 × 1- 1.04^(-10)/0.04 = 202,772.39
Total PV of cost = 202,772.39 + 45,000 = 247,772.39
Total PV of cost = 247,772.39
Equivalent Annual Annuity = Total PV of cost /Annuity factor
Annuity factor = 1-(1+r)^(-n)/r = ( 1- 1.04^(-10)/0.04) = 8.1109
Equivalent Annual Annuity =247,772.39 /8.1109 = 30,548.09
Equivalent Annual Annuity =$30,548.09
