Yes, since Boat Builders, LLC did not maintain an adequate standard of care on their property.
Opting for the lease is a more favorable choice. To illustrate, we examine the calculations for both options. First, we calculate the Net Present Value (NPV) for the Lease Option:
Year n Details CF ($) DF=1/(1.1)^n PV ($)
1 - Lease payment (30,000) 0.9091 (27,273)
2 - Lease payment (30,000) 0.8264 (24,793)
3 - Lease payment (30,000) 0.7513 (22,539)
4 - Lease payment (30,000) 0.6830 (20,490)
The NPV for the lease option equals (95,096).
For the Buy Option, we carry out the following calculations:
Year n Details CF ($) DF=1/(1.1)^n PV
0 Purchase cost (80,000) 1.0000 (80,000)
1 Maintenance costs (10,000) 0.9091 (9,091)
2 Maintenance costs (10,000) 0.8264 (8,264)
3 Maintenance costs (10,000) 0.7513 (7,513)
4 Maintenance costs (10,000) 0.6830 (6,830)
Residual value at end of year 4 20,000 0.6830 13,660
The NPV for the buy option results in (98,038).
To determine the equivalent annual annuity (EAA) for each option:
EAA = (r × NPV) / (1 - (1 + r)^-n)
where r is the discount rate per period and n shows the number of periods.
Calculating:
Lease option EAA = (0.1 × -95,096) / (1 - (1 + 0.1)^-4) = -30,000.
Buy option EAA = (0.1 × 98,038) / (1 - (1 + 0.1)^-4) = -30,928.
Since the lease option manifests a lower EAA of $30,000 compared to the buy option's $30,928, the lease is deemed the superior choice.
Response:
Option (A) is correct.
Clarification:
It is given that:
Amount settled to retire a note = $75,000
Face value of the note = $83,000
Coupon rate = 8% (paid semi-annually)
Net book value of the note = $68,200
To determine the net gain or loss on the note's redemption, we find the difference between the note's net book value and the amount paid for its retirement. A negative result indicates a loss, while a positive result indicates a gain.
Net gain/loss:
= Net book value of the note - Amount to retire note
= $68,200 - $75,000
= -$6,800
Thus, there is a net loss of $6,800 upon the note's redemption.
