Hi all,
I was attempting this leasing question from past schweser mocks. I could not understand why they have depreciated the asset over 9 years and not 11 years.
Does the asset have to be depreciated over the same number of years as the years in the lease contract?
Question:
On December 31, 2000, Asheville Corp. executed a 9-year lease with annual payments of $3,300,000 for sophisticated equipment for its precision specialty manufacturing facility. The economic life of the equipment was 11 years. Asheville has the option to purchase the equipment for its then-current fair market value at the end of the lease. The interest rate implicit in the lease is 10 percent. Asheville Corp.’s incremental borrowing rate is 10 percent. The fair market value of the equipment on December 31, 2000 was $25,000,000. Treating the above transaction as an operating lease, Asheville Corp.’s income statement for the year ended December 31, 2001 was as follows:
Sales
$82,000,000
Cost of Goods Sold
(38,000,000)
Gross Profit
44,000,000
Depreciation
(8,300,000)
Lease Expense
(3,300,000)
Sales and Administration
(18,400,000)
Operating Profit
14,000,000
Interest Expense
(2,000,000)
Income Taxes
(5,000,000)
Net Income
$7,000,000
- After considering whether the equipment lease should be reclassified as a capital and holding income taxes constant at $5,000,000, Asheville’s net profit margin will:
A) decrease from 8.54 percent to 5.35 percent.
B) decrease from 8.54 percent to 6.22 percent.
C) remain unchanged.
D) decrease from 8.54 percent to 7.67 percent.
Explanation
Asheville’s net profit margin (net income / sales) with the lease classified as an operating lease was ($6,000,000 / $82,000,000 =) 8.54 percent. The equipment lease is a capital lease because of the fact that the lease is for (9 years / 11 years =) 82 percent, which is more than 75 percent of the assets’ economic life. The minimum interest rate between the lease’s implicit rate of 10 percent and Asheville Corp.’s incremental borrowing rate of 10 percent is used to capitalize the lease. The present value of the lease payments is (PV annuity N = 9, I/Y = 10, PMT = $900,000) $19,004,779. The $3,300,000 payment made December 31, 2001 is allocated ($19,004.779 * 0.10 =) $1,900,478 to interest and ($3,300,000 - $1.900,478 =) $1,399,522 to principal.
Depreciation expense is computed over 9 years on a straight line basis ($19,004,779 / 9 =) $2,111,642. Adjusting the income statement to remove operating lease expense and include depreciation expense results in operating profit of ($14,000,000 + $3,300,000 - $2,111,642 =) $15,188,358. Lease related interest expense of $1,900,478 is added to $2,000,000 to arrive at total interest expense of $3,900,478. The adjusted net profit margin (net income / sales) is ($15,188,358 - $3,900,478 - $5,000,000 =) $6,287,880 / $82,000,000 = 7.67 percent.