In: Accounting
Canliss Mining Company borrowed money from a local bank. The note the company signed requires five annual installment payments of $16,000 beginning immediately. The interest rate on the note is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) What amount did Canliss borrow?
Present Value of annual cash flows | = | Annual Cash flows x Present Value of annuity due of $ 1 | ||||||
= | $ 16,000 | x | 4.4651 | |||||
= | $ 71,442 | |||||||
Amount borrowed was the present value of annual cash flows. | ||||||||
So, amount borrowed was | $ 71,442 | |||||||
Working: | ||||||||
Present Value of annuity due of $ 1 | = | ((1-(1+i)^-n)/i)*(1+i) | Where, | |||||
= | ((1-(1+0.06)^-5)/0.06)*(1+0.06) | i | 6% | |||||
= | 4.4651 | n | 5 | |||||