“Most firms allocate common costs, presumably to prevent individual divisions from overconsuming the common resource.” (Zimmerman Textbook)
An allocation base or cost driver is the metric used to allocate costs (like the aspirin in the hospital example).
A noninsulating method uses a driver that varies with the manager’s performance measures (e.g. div. operating income)
Jan. HDD | Jan. SSD | Feb. HHD | Feb. SSD | |
---|---|---|---|---|
Div. Op. Income | $8,000 | $8,000 | $9,000 | $2,000 |
Allocated costs | (800) | (800) | (900) | (200) |
Net income | $7,200 | $7,200 | $8,100 | $1,800 |
This is a tax on operating income.
An insulating allocation uses a driver that does not vary with the manager’s performance measures (e.g. floorspace).
Jan. HDD | Jan. SSD | Feb. HHD | Feb. SSD | |
---|---|---|---|---|
Div. Op. Income | $8,000 | $8,000 | $9,000 | $2,000 |
Allocated costs | (600) | (400) | (600) | (400) |
Net income | $7,400 | $7,600 | $8,400 | $1,600 |
This is a tax on floorspace.
These costs are all variable, so no (figurative) danger
This makes sense, but now we are allocating fixed costs, and managers can choose how much to use! But their choice does not change the fixed costs.
What happens when taxes go up?
If you are not careful, you might use arithmetic to convince yourself that adding new products or services may decrease fixed costs.
No production decision, other than actually changing the fixed costs themselves, can change fixed costs.
When allocating depreciation the firm trades off:
Charging depreciation helps control the overinvestment problem, but at the expense of underutilizing the asset after acquisition.
Most firms charge users for depreciation.
During the 1980s and early 1990s, IBM had the policy of allocating costs from one line of business to another. Managers in those lines of business constantly argued that some of their overhead should be carried by other IBM businesses.
IBM also typically allocated all of the R&D of a new technology to the line of business first using the technology, and subsequent users were able to utilize it for free.
This cost allocation system masked the true profitability of many IBM businesses for years. IBM claimed it was making money in its PC business.
But in 1992, “as IBM began to move away from its funny allocation system, IBM disclosed that its PC business was unprofitable.” In 2004, IBM sold its PC division to China-based Lenovo Group for $1.75 billion.
Now that we’re clear on all the things that can go wrong, lets try to do it!
Capacity of service departments used:
Telecoms | IT | Cars | Trucks | Total | |
---|---|---|---|---|---|
Telecoms | 10% | 20% | 40% | 30% | 100% |
IT | 25% | 15% | 35% | 25% | 100% |
Service department costs:
Cost | |
---|---|
Telecoms | 2,000,000 |
IT | 6,000,000 |
Total | 8,000,000 |
Cars | Trucks | Tot Alloc | Tot Incur | Tot Unalc | |
---|---|---|---|---|---|
Telecoms | $0.8 | $0.6 | $1.4 | $2.0 | $0.6 |
(40% × $2) | (30% × $2) | ||||
IT | $2.1 | $1.5 | $3.6 | $6.0 | $2.4 |
(35% × $6) | (25% × $6) | ||||
Total | $5.0 | $8.0 | $3.0 |
(Dollars are in millions)
Shares | Cars | Trucks | Total |
---|---|---|---|
Telecoms | 40%/(40% + 30%) = 4/7 | 30%/(40% + 30%) = 3/7 | 100% |
IT | 35%/(35% + 25%) = 7/12 | 25%/(35% + 25%) = 5/12 | 100% |
Allocated Costs | Cars | Trucks | Total |
---|---|---|---|
Telecoms | 4/7 × $2 = $1.143 | 3/7 × $2 = $0.857 | $2 |
IT | 7/12 × $6 = $3.500 | 5/12 × $6 = $2.500 | $6 |
Total | $4.643 | $3.357 | $8 |
While we do not know the correct opportunity cost, we do know that the direct allocation method excludes the service departments’ use of other service departments and therefore incorrectly states the opportunity cost of each service department.
IT | Cars | Trucks | Total | |
---|---|---|---|---|
Telecoms | 20%/(20% + 40% + 30%) | 40%/90% | 30%/90% | |
= 2/9 | = 4/9 | = 1/3 | 100% | |
IT | None | 35%/60% | 25%/60% | |
= 7/12 | = 5/12 | 100% |
Costs to Allocate | IT | Cars | Trucks | Total Alloc. | |
---|---|---|---|---|---|
Telecoms | $2 | 2/9 × $2 | 4/9 × $2 | 1/3 × $2 | |
= $0.444 | = $0.889 | = $0.667 | $1.556 | ||
IT | $6 + $0.444 | None | 7/12 × $6.444 | 5/12 × $6.444 | |
= $3.759 | = $2.685 | $6.444 | |||
Total | $4.648 | $3.352 | $8.000 |
It may! In this case the difference in magnitudes is relatively minor.
Telecoms | Cars | Trucks | Total | |
---|---|---|---|---|
IT | 25%+/(25% + 35% + 25%) | 35%/85% | 25%/85% | 100% |
= 5/17 | = 7/17 | = 5/17 | 100% | |
Telecoms | None | 4/7 | 3/7 | 100% |
Costs to Allocate | IT | Cars | Trucks | Total Alloc. | |
---|---|---|---|---|---|
IT | $6 | 5/17 × $6 | 7/17 × $6 | 5/17 × $6 | |
= $1.765 | = $2.470 | = $ 1.765 | $4.235 | ||
Telecoms | $2 + $1.765 | None | 4/7 × $3.765 | 317 × $3.765 | |
= $ 2.151 | = $ 1.614 | $3.765 | |||
Total | $4.6210 | $3.379 | $8.000 |
costs are in millions.
Allocation base | |
---|---|
Telecomm | 3,000 Telephones |
IT | 12 million gigabytes |
Direct | Step, Telecomm first | Step, IT first | |
---|---|---|---|
Telecoms | – | – | – |
IT | – | 20% × 3.000 = 600 | – |
Cars | 40% × 3,000 = 1,200 | 40% × 3,000 = 1,200 | 40% × 3,000 = 1,200 |
Trucks | 30% × 3,000 = 900 | 30% × 3,000 = 900 | 30% × 3,000 = 900 |
Phones | 2,100 | 2,700 | 2,100 |
Direct | Step, Telecomm first | Step, IT first | |
---|---|---|---|
Cost per phone | $2M/2.100 | $2M/2.700 | $3.765M/2.100 |
= $ 952 | = $ 741 | = $1.793 | |
Number of phones: Cars | 1,200 | 1,200 | 1,200 |
Telecoms charged to Cars | $1.143 | $0.889 | $ 2.151 |
The order can lead to large changes in the ‘tax’ on the allocation base!
Direct | Step, Telecomm first | Step, IT first | |
---|---|---|---|
Telecoms | – | – | 25% × 12 = 3.0 |
IT | – | – | – |
Cars | 35% × 12 = 4.2 | 35% × 12 = 4.2 | 35% × 12 = 4.2 |
Trucks | 25% × 12 = 3.0 | 25% × 12 = 3.0 | 25% × 12 = 3.0 |
Gigs | 7.2 | 7.2 | 10.2 |
Direct | Step, Telecomm first | Step, IT first | |
---|---|---|---|
Cost per gig | $6/7.2 = $0.833 | $6.44/7.2 = $0.895 | $6/10.2 = $0.588 |
Number of gigs in Cars | 4.2 | 4.2 | 4.2 |
IT charged to Cars | $3.5 | $3.759 | $2.470 |
SOURCE: M. Muse and B. Amoia, “Step Up to the Step-Down Method,” Healthcare Financial Management, May 2006.
We will try to improve on the step-down method.