Question

Benning Manufacturing Company is negotiating with a customer for the lease of a large machine manufactured by Benning. The machine has a cash price of $820,000. Benning wants to be reimbursed for financing the machine at an 8% annual interest rate. (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.)

  

Required:

1.	Determine the required lease payment if the lease agreement calls for 12 equal annual payments beginning immediately.

      

2.	Determine the required lease payment if the first of 12 annual payments will be made one year from the date of the agreement.

      

3.	Determine the required lease payment if the first of 12 annual payments will be made immediately and Benning will be able to sell the machine to another customer for $52,000 at the end of the 12-year lease.

     

Answer 1

1)
Present Value	$820,000
Period	12
Rate	8.00%
Annual Payment = $820,000 / PVAD(8%,12) = $820,000/8.13896	$100,749.97
2)
Present Value	$820,000
Period	12
Rate	8.00%
Annual Payment = $820,000 / PVA(8%,12) = $820,000/7.5361	$108,809.6
3)
Present Value	$820,000
Period	12
Rate	8.00%
Residual value	$52,000
Present Value of Residual = $52000 x PV(8%,12)= 52000 x .3971	$20,649.2
Annual Payment = ($820,000 - $20,649.2)/PVAD(8%,12) ; 799,350.8/8.13896	$98,212.89