Answer:
It is better to use the lease opton as the present worth is lower.
Explanation:
Present value of the lease liability/equipment cost:
[tex]C \times \frac{1-(1+r)^{-time} }{rate}(1+r) = PV\\[/tex]
C -34,000.00
time 10 years
rate 0.08
[tex]-34000 \times \frac{1-(1+0.08)^{-10} }{0.08}(1+0.08) = PV\\[/tex]
PV -$246,394.1890
Purchase option 169,000 cash + PV of maintenance and insurance
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C -14,000.00
time 10
rate 0.08
[tex]14000 \times \frac{1-(1+0.08)^{-10} }{0.08} = PV\\[/tex]
PV -$93,941.1396
-169,000 -93,941.14 = -262.941,14
As the cost for the lease is lower than the purchase option it is better for the firm to use the lease option.