a manufacture has 15 years, 8.5 percent mortgage for 100,000 birr on a building. payments are made monthly.
a. find the monthly payment
b. how much interest will be paid?
m=15
r=8.5%
PV=100000 birr
a)
monthly payment is given as:
"=\\frac{PV (\\frac{r}{n})(1+\\frac{r}{m})^{(mn)}}{(1+\\frac{r}{m})^{mn}-1}"
"=\\frac{100000(\\frac{0.085}{12})(1+\\frac{0.085}{12})^{(12\u00d715)}}{(1+\\frac{0.085}{12})^{12\u00d715}-1}"
"=984.74\\space{birr}" is the monthly payment
b) the total amount to be repaid is
"=984.74\u00d7(12\u00d715)"
"=177253.2\\space{birr}"
Interest"=177253.2-100000"
"=77253.2\\space{birr}" is the interest paid on the mortgage
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