University Of Central Punjab F13
Financial Management P age 18
The result indicates that a $74,000 lease that costs 11% annually for 7 years will require
$14,147.68* annual payments.
B = Tax-shield benefit (Inflow) = $ 5,659.31
L = Lease payment (Outflow) = $ 14,148.27
Net cash outflows at t = 0: $ 14,148.27
Net cash outflows at t = 1 to 6: $ 8,488.96
Net cash outflows at t = 7: $ -5,659.31
Comments
Since the lease payments are prepaid, the company is not able to deduct the expenses
until the end of each year.
The lessee, BW, can deduct the entire $14,148.27 as an expense each year. Thus, the net
cash outflows are given as the difference between lease payments (outflow) and tax-
shield benefits (inflow).
The difference in risk between the lease and the purchase (using debt) is negligible and
the appropriate before-tax cost is the same as debt, 12%.
Calculating the Present Value of Cash Outflows for the Lease
The after-tax cost of financing the lease should be equivalent to the after-tax cost of debt
financing.
After-tax cost = 12% (one - .4) = 77..22%%.
The ddiissccoouunntteedd present value of cash outflows:
$14,148.27 x (PVIF
7.2%, 1
)
= $$1133,,119988..0011
$ 8,488.96 x (PVIFA
7.2%, 6
)
= 4400,,221144..3344
$ -5,659.31 x (PVIF
7.2%, 7
)
= --33,,447788..5566
PPrreesseenntt VVaalluuee == $$ 4499,,993333..7799
This annuity due equals $74,000 today
$74,000.00 = TL (PVIFA 12%, 7) (1.12)
$66,071.43 = TL (4.564)
$14,477.42 = TL