Respuesta :
The Present Value of Lease is $6,449,579, the Fair value of the note is $83,055.75 and the cost of credit is 12.12%.
Present Value of Lease and fair value
Year Cash flows PV Factors Discounted cash flow
0-9 800,000 6.75902 5,407,216
10-19 400,000 2.60590 1,042,360
20
Total 6,449,579
Present Value of Lease = $6,449,579
Purchase price = $7,200,000
Based on the above cash flow the company should lease the facility based on the fact that the present value of cash payment of the amount of $6,449,579 is lower that the purchase price of the amount of $7,200,000.
b. Fair value of the note
Using this formula
Fair value of the note=Amount×PVOA
Let plug in the formula
Fair value of the note=$15,000×5.53705
Fair value of the note=$83,055.75
c. Cost of credit
Using this formula
Cost of credit=Discount/(1-Discount)×360/Allowed payment day-Discounted day
Let plug in the formula
Cost of credit=1/(1-100)×360/30
Cost of credit =1/99×360/30
Cost of credit=0.1212×100
Cost of credit =12.12%
The cost of funds which is 10% is lower than the cost of credit which means that the company should not continue the policy but should instead choose the lease.
Therefore the Present Value of Lease is $6,449,579, the Fair value of the note is $83,055.75 and the cost of credit is 12.12%.
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