A property was purchased for $9330.00 down and payments of $1373.00 at the end of every month for 3 years. Interest is 11% per annum compounded annually. What was the purchase price of the property? How much is the cost of financing?
The purchase price of the property was $____?
The cost of financing is $______?
EAR = [(1 +stated rate/no. of compounding periods) ^no. of compounding periods - 1]* 100 |
11 = ((1+Stated rate%/(12*100))^12-1)*100 |
Stated rate% = 10.4815 |
PVOrdinary Annuity = C*[(1-(1+i/100)^(-n))/(i/100)] |
C = Cash flow per period |
i = interest rate |
n = number of payments |
PV= 1373*((1-(1+ 10.4815/1200)^(-3*12))/(10.4815/1200)) |
PV = 42254.32 |
Property value = PV+down = 42254.32+9330 =
51584.32 |
Cost of financing = monthly payments*number of months-PV = 1373*12*3-42254.32
=
7173.68 |
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