Answer:
$371,200
Explanation:
For the computation of annual price escalation first we need to follow some steps which are shown below:-
Future value of payment if the property purchased is
= Property taxes + Insurance premium + Annual repair and maintenance
= $1,200 + $1,400 + $1,950
= $4,550
Future value = (1 + K)^n
= (1 + 0.08)^10
= 2.158924997
or
= 2.16
Future value of annuity factor = (1 + K)^n -1 ÷ K
= ((1 + 0.08)^10 - 1) ÷ 0.08
= 1.158924997
÷ 0.08
= 14.487
Future value of the cost of property = Purchase amount of a home × Future value
= $320,000 × 2.16
= $691,200
Future value of recurring cost = Future value of payment if property purchased × Future value of annuity factor
= $4,550 × 14.487
= $65,915.85
Total value of payment = Future value of the cost of property + Future value of recurring cost
= $691,200
+ $65,915.85
= $75,7115.85
Future value of the payment in property taken on rent
The Total value of the payment in 10 year when the property taken on rent = Amount using per year × Future value of annuity factor
= $25,800 × 14.487
= $373,764.6
The amount incurred in both the methods will be the same if the property can be sold = Total value of payment - Total value of the payment in 10 year when the property was taken on rent
= $75,7115.85 - $373,764.6
0
= 383351.25
finally,
The annual price escalation = Future value of the cost of the property - Purchase amount of home
= $691,200 - $320,000
= $371,200
