In: Finance
Falco Inc. financed the purchase of a machine with a loan at 3.11% compounded monthly. This loan will be settled by making payments of $9,100 at the end of every month for 7 years.
a. What was the principal balance of the loan? Round to the nearest cent
b. What was the total amount of interest charged? $0.00 Round to the nearest cent
a)Loan Amount
| Present Value Of An Annuity | 
| = C*[1-(1+i)^-n]/i] | 
| Where, | 
| C= Cash Flow per period | 
| i = interest rate per period | 
| n=number of period | 
| = $9100[ 1-(1+0.002591667)^-84 /0.002591667] | 
| = $9100[ 1-(1.002591667)^-84 /0.002591667] | 
| = $9100[ (0.1954) ] /0.002591667 | 
| = $6,86,122.66 | 
b)
| Total Amount Paid = $9100*12*7 | ||
| =$764400 | ||
| Interest Amount =$764400-686123.66 | ||
| =78277.34 | ||