Answer:
Option A net worth -215,906.03
Option B net worth -210, 159.75
It is a better deal to use the machine through lease than purchase it as the net worth is lower.
Explanation:
Purchase the machine:
-164,000 purchase cost
PV of the maintenance cost
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C -9,000.00
time 10
rate 0.08
[tex]-9000 \times \frac{1-(1+0.08)^{-10} }{0.08} = PV\\[/tex]
PV -$60,390.7326
PV of the salvage value
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 14,000.00
time 10.00
rate 0.08000
[tex]\frac{14000}{(1 + 0.08)^{10} } = PV[/tex]
PV 6,484.7088
net worth:
-162,000 - 60,390.73 + 6,484.70 = -215,906.03
PV of the lease: (annuity-due)
[tex]C \times \frac{1-(1+r)^{-time} }{rate} (1+rate)= PV\\[/tex]
C 29,000.00
time 10
rate 0.08
[tex]29000 \times \frac{1-(1+0.08)^{-10} }{0.08} (1+0.08) = PV\\[/tex]
PV $210,159.7494