Payments. Cooley Landscaping Company needs to borrow $29,000 for a newfront-end dirt loader. The bank is willing to loan the funds at 8.5% interest with annual payments at the end of the year for the next 7 years. What is the annual payment on this loan for Cooley Landscaping?
What is the annual payment on this loan for Cooley Landscaping?
$ :
Sol:
Present value (PV) = $29,000
Interest rate (r) = 8.5%
Periods (n) = 7 years
Annual payment = Annuity
To determine annual payment on the loan for Cooley Landscaping:
Present value of annuity = Annuity * (1-(1 + r)^-n) / r
29,000 = Annuity * (1-(1 + 8.5%)^-7) / 8.5%
29,000 = Annuity * (1-(1.085)^-7) / 0.085
29,000 = Annuity * (1- 0.564926) / 0.085
29,000 = Annuity * (0.435074 / 0.085)
29,000 = Annuity * 5.118514
Annuity = 29,000 / 5.118514
Annuity = $5665.71
Therefore annual payment on the loan for Cooley Landscaping will be $5665.71
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