GenTrac Global Inc. manufactures robotic controllers in Division A, a country with a 30% income tax rate, and transfers them to Division B, a country with a 40% income tax. An import duty of 15% of the transfer price is paid on all imported products. The import duty is not deductible in computing taxable income. The controller’s full cost is $1,800 and variable cost is $1,000; they are sold by Division B for $2,100. The tax authorities in both countries allow firms to use either variable cost or full cost as the transfer price.
As a manager, you may be tasked with making recommendations as to how your organization should structure its transfer pricing. This is especially true in cases when both variable or full cost transfer pricing is acceptable, and the choice is not obvious.
For this Assignment, review the information in the scenario posted in the entry titled Week 4 Assignment located in the Doc Sharing link. You will utilize the information in this week’s Resources and your course text to consider how transfer pricing decisions might apply to organizational decision making. There is also an Excel template provided in the same entry that you may find helpful in completing this Assignment.  
The Assignment:

Part 1: Analyze the effect of both full-cost and variable-cost transfer pricing methods on cash flows using a spreadsheet program such as Excel.
Part 2: Make your recommendation as to how the organization should proceed, being sure to justify your recommendation
Week 4 Application
Full Cost
Variable Cost
Division A Taxes:
Transfer Price
Less Cost
Taxable Income
Taxes in Low Country (or refund)
1.800
1.800
–
1.000
1.800
(800)
(240)
Division B Taxes:
Sales Price
Less Transfer Price
Taxable Income
Income Taxes
Import Duty
Taxes in High Country (or refund)
2.100
1.800
300
120,0
270
390
2.100
1.000
1100
440
150
590
Total Taxes
390
350
Transfer Prices:
Winter Functions, Types,
2010
and Behavioral
Implications
VOL.11 NO.2
BY PETER SCHUSTER, PH.D.,
TRANSFER
AND
PETER CLARKE, PH.D.
PRICES AFFECT THE PROFIT REPORTED IN EACH RESPONSIBILITY CENTER OF A
COMPANY AND CAN BE USED TO INFLUENCE DECISION MAKING.
SHOWING A VARIETY
OF
EXAMPLES, THE AUTHORS DESCRIBE THE FUNCTIONS AND TYPES OF TRANSFER PRICES
AND DISCUSS THE POSSIBLE BEHAVIORAL CONSEQUENCES OF USING THEM.
Because of the decentralization of decision making,
the role of performance measurement and performance
assessment within these responsibility centers becomes
important. These issues lead to discussion and systematic analysis of transfer price functions between segments.1 Companies often use transfer prices as
substitutes for market prices either because market
prices do not exist or because they do not facilitate
internal trading and the synergies it creates. Even if
synergies exist for internal trade, it is possible that market prices may not encourage this to happen. Thus top
management often imposes a transfer price in order to
benefit from these synergies. An added complication,
however, is that sharing the synergistic benefits
between responsibility centers is arbitrary, so the
“correct” transfer price cannot exist. It is obvious that
transfer prices affect the profit reported in each responsibility center, and, more importantly, companies can
use transfer pricing to influence decision making.
We will look at the functions and different types of
transfer prices and their possible behavioral consequences. The analysis, which is from a managerial point
ost companies now operate in an environment in which their products, markets, customers, employees, and
technology are constantly changing. In
such circumstances, the appropriate
organizational form becomes important, and a decentralized organization is very common. The essence of
decentralization is the freedom managers have at various levels to make decisions within their sphere of
responsibility. This frequently involves determining a
transfer price system within the company, which has the
potential to become the most important and possibly
the most interesting problem of management control.
Decentralization can simulate market conditions
within a company between autonomously acting subunits—i.e., they reflect competition. Managers in such
subunits or “business units” have different degrees of
autonomy and a range of company decisions for which
they are responsible. The cost center manager is typically responsible for costs, the profit center manager for
costs and revenues, and the investment center manager
for generating an adequate return on investment.
M
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WINTER 2010, VOL. 11, NO. 2
such responsibility units on the basis of reported profit
as it is no longer an aspect for which companies can
hold them directly responsible.
There are additional functions for transfer prices.
Besides the primary functions of profit allocation and
coordination functions, transfer prices fulfill other tasks,
such as complying with financial reporting regulations
in addition to tax considerations.2 We will not discuss
them here, however. Instead, we will concentrate on
the two primary functions of transfer prices together
with their behavioral consequences, which companies
often do not understand.
of view, argues that neither a single “true” nor a “fair”
price exists, but, rather, the transfer price is conditional
on the decision context. Our article also highlights possible dysfunctional behavior. We outline some examples
and propose possible solutions that we assess in the
light of behavioral effects, highlighting how complex,
difficult, and insolvable the issue of transfer pricing is in
reality. In order to understand the effects resulting from
asymmetric information and finding suitable transfer
prices, we will first discuss the functions of transfer
prices.
FUNCTIONS
OF
TRANSFER PRICES
The decentralized organization is a connection of partly
independent business units. An important task for management is the performance measurement and assessment of these units. This requires, for example, that
the reported profit figure for, say, profit or investment
centers for the relevant period, should be reliable and
trustworthy. Where these business units trade with each
other, the transfer pricing system has the potential to
distort reported profit performance. Therefore, the
internal profit-allocation function and related performance measurement of business units are crucial elements of transfer pricing.
Transfer prices should also influence managerial
decision making because they should provide an incentive to maximize the business units’ profit targets. We
refer to this as the coordination function. If managerial
decisions lead to maximized profits within all the
autonomous business units, then this should also maximize the total company or, in the following “group,”
profits, ignoring tax and foreign exchange considerations. Business unit managers’ decisions then are identical to the decisions that the group’s top managers would
make if they had all the necessary information.
There is a potential conflict between these two functions of transfer prices, namely the profit-allocation
function (reliable and trustworthy prices and, thus,
reported profits) and the coordination function (guiding
behavior of decentralized managers by using the transfer prices). One solution is to reduce the discretion of
subunit managers in setting transfer prices. This
approach, however, partly defeats the original purpose
of decentralization and reduces the validity of assessing
M A N A G E M E N T A C C O U N T I N G Q U A R T E R LY
TYPES
OF
TRANSFER PRICES
AND
THEIR
D E T E R M I N AT I O N
Generally, companies can determine transfer prices
three different ways: market-based transfer prices, costbased transfer prices, and negotiated transfer prices.
Although each method provides a different “answer,”
their commonality is that transfer prices represent an
intracompany market mechanism. We will now discuss
each type of transfer price.
Market-Based Transfer Prices
Market-based transfer prices represent market conditions and, therefore, simulate the market-within-thecompany idea. Their advantage is that they support and
implement corporate strategy and allow performance
measurement of responsibility centers using marketoriented data. A prerequisite for this method is a standardized, existing market of the product or a substitute.
Companies can determine a market-based transfer price
by comparing current prices if the business unit also
sells to the market. Alternatively, they can obtain transfer prices from the marketplace if a comparable competitive product exists. Problems do occur with this
approach, however, if, for example, a company uses
“marginal prices” in order to use idle capacity. In such
circumstances, the short-term price may not be equivalent to the long-term price. Furthermore, should one
include special discounts? Another major problem with
market-based prices is their trustworthiness, and this
raises questions such as:
? Who submits the information?
? Who decides which suppliers are asked for an offer,
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Figure 1:
Case 1—A Market-Based Transfer Price
in a Perfect Market Situation
Supplier offer:
Price = $240
Input factors
Input factors
SUBUNIT 1
SUBUNIT 2
Intermediate
product
Costs: $100
Final product
Costs: $80
(case 1)
Market for intermediate
product: p1 = $125
and how often should the information be requested?
? Should there be a “favored” clause for intracompany
trading compared to market suppliers?
Figure 1 shows a case of two responsibility units in
the situation of a perfect market.3 The costs of the business units remain unaffected by their decisions whether
to purchase externally in the marketplace or to engage
in intracompany trading. The example shows that
under normal circumstances subunit 1 produces an
intermediate product and can sell it in the market at
$125 or to subunit 2 for an agreed transfer price that the
company will determine. Subunit 2 transforms this into
a final product that it sells on the market at a normal
price of $300. A supplier, however, has offered $240 for
subunit 2’s product, and this subunit has idle capacity to
produce the product.
Managers should base suggested transfer prices on
how well they fulfill the two functions of “profit allocation” and “coordination.” In this example, the reported
profits of both subunits are reliable and trustworthy
because the company bases them on a transfer price
equal to the market price of the intermediate product
($125). The selling division (subunit 1) always has the
incentive to sell internally because the market-based
transfer prices mirror current market conditions. Equal-
Table 1:
Regular market price
of the final product:
p = $300
ly, the buying division (subunit 2) does not overpay for
the intermediate product. Table 1 summarizes the decisions and profits of the two subunits. Both subunits
have the incentive to trade internally using market
prices to determine the transfer price and the overall
group benefits accordingly.
We now adapt this example to case 2, where the processing costs of subunit 2 are $120 per unit rather than
$80 (see Figure 2).
In case 2, subunit 2 still has the incentive to trade
internally, but, with a transfer price of $125, subunit 2
will reject the supplementary offer. Table 2 summarizes
the alternatives. By selling the product to the market,
the market-based transfer price leads to subunit 1’s
profit of $25. In contrast, internal trading would result
in an accounting loss of $5. Subunit 2 will not produce
the final product, so subunit 2 will sell the intermediate
product on the market. This, then, is also the profitmaximizing decision from the group perspective
because it generates a total profit of $25 ($1252$100)
compared to only $20 ($2402$1002$120) for a supplementary order.
Figures 1 and 2 illustrate the fulfillment of the
profit-allocation function as there is an obvious homogenous market price that can be the transfer price. Addi-
Decisions and Profits of the Subunits in Case 1
CASE
PROFIT SUBUNIT 1
DECISION SUBUNIT 1
PROFIT SUBUNIT 2
DECISION SUBUNIT 2
PROFIT GROUP
Case 1
125 2 100 = 25
Produce and sell
intermediate product
(to subunit 2)
240 2 125 2 80 = 35
Buy intermediate product
and produce and sell
supplementary order
240 2 100 2 80 = 60
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Figure 2:
Case 2—A Market-Based Transfer Price
in a Perfect Market Situation
Input factors
Input factors
Supplier offer:
price = $240
SUBUNIT 1
SUBUNIT 2
Intermediate
product
Costs: $100
Final product
Costs: $120
(case 2)
Market for intermediate
product: p1 = $125
same as in case 2, and the necessary intermediate product is bought internally from subunit 1. This example
builds on the previous example with one exception: the
existence of synergies, represented by a different cost
situation when subunit 1 sells its product internally or
to the market and when subunit 2 buys internally or
from the market.
This proves that the market-based transfer price will
not fulfill the profit allocation and the coordination
function when synergies exist. That is to say, the obvious solution for a transfer price of a decentralized organization will not work in the real world where synergies
exist. As shown in the example, the two functions are
not fulfilled because neither the “correct” profit can be
reported by the use of the transfer price nor are the
subunit’s decisions in the best interests of the company
as a whole. Yet synergies can be seen as a reason for the
existence of companies because companies then can
produce something better and cheaper, i.e., in principle
favorable to customers.
Despite the fact that there is an obvious homogenous
market price, the profit-allocation function is not fulfilled anymore because of synergies represented by the
lower internal costs of subunit 1 when avoiding the use
of the market—i.e., when selling the intermediate prod-
tionally, both subunits make the same decision as
would top centralized management if they possessed all
available information. This is highlighted by the decision about a one-off supplementary offer for an additional customer for a price of $240: In case 1, both
subunits independently decide to trade internally, and
top management would approve this in the company
headquarters as the supplementary order increases company profit by $60. A variation of this, case 2, in which
subunit 2 has production costs of $120, shows that it is
preferable to sell the intermediate product in the market. Thus the subunits do not trade with each other
when they use the market-based transfer price. This
decision leads to an overall profit of $25. If interdivisional trading took place at a transfer price of $125, it
would lead to additional group profit of only $20. Thus
this also fulfills the coordination function. Top management would have made this decision if they had access
to all the information.
We can further adapt the previous example. Figure 3
indicates that subunit 1 incurs costs of $100 per unit
when selling internally and costs of $116 when selling
to the market. The incidence of selling and distribution
costs could explain this phenomenon. In case 3, the
production costs of subunit 2 are $120, which are the
Table 2:
Regular market price
of the final product:
p = $300
Decisions and Profits of the Subunits in Case 2
CASE
PROFIT SUBUNIT 1
DECISION SUBUNIT 1
PROFIT SUBUNIT 2
DECISION SUBUNIT 2
PROFIT GROUP
Case 2
125 2 100 = 25
Produce and sell
intermediate product
(to market)
240 2 125 2 120 = 25
Decline
supplementary order
125 2 100 = 25
(for intermediate
product only)
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Figure 3:
Case 3—A Market-Based Transfer Price
in an Imperfect Market Situation
Input factors
Input factors
SUBUNIT 1
Costs:
Internal = $100
Market = $116
SUBUNIT 2
Intermediate
product
Market for intermediate
product: p1 = $125
Table 3:
Final product
Costs:
Internal = $120
Market = $135
price of the intermediate product but $15 lower.
An analysis of the next function, the coordination
function, reveals that the company’s decision is not
identical to the subunits’ decisions: A company can
achieve maximum profit by producing the supplementary order at a profit of $20 per product. Subunit 1 also
prefers the profit of $25, but subunit 2 rejects this
because of a loss of $5, so the only business consists of
selling the intermediate product to the market with a
combined profit of $9 for subunit 1 and the company.
Because of synergistic effects, the market-based transfer
price in the example is too high for both subunits to
decide to accept the one-time order. A price that would
lead both business units to decide positively about the
order is in the range of $109 and $120. At a price of
$109, subunit 1 earns a contribution margin internally in
the amount of $9, which is identical to the amount it
could earn at the market price. It is the minimum price
it would ask for in case of internal business. At a price
of $120, subunit 2 starts to earn a positive contribution
margin—i.e., it is the maximum price subunit 2 is willing to pay. The rejection of the supplementary order
cuts the possible company profit from $20 to $9, so the
market-based transfer price does not support indepen-
uct to subunit 2 rather than to the market—and by the
additional costs of subunit 2 when utilizing the market.
The synergies, therefore, comprise $16 (subunit 1) and
$15 (subunit), which equals $31, symbolized by
increased cost functions of both business units (e.g., for
higher marketing costs of business unit 1 or higher
quality-control costs of business unit 2). The reporting
of the “correct” profit supposedly shows the correct
division of the synergies, but any division of these
advantages is arbitrary.
So who should benefit from synergy when subunit 1
produces the intermediate product that it sells to subunit 2, who processes it into the final product sold as
the supplementary order at the price of $240? For
example, at a price of $110 for the intermediate product, both subunits end up with a profit of $10 each:
Subunit 1 is $110 2 $100 = $10; subunit 2 is $240 2
$120 2 $110 = $10. Both share the maximum achievable
profit, which equals $20 for an intracompany solution of
the supplementary order versus a profit of $9 when subunit 1 sells the intermediate product to the market and
when the supplementary order is rejected. At that price,
both subunits report a profit, even though the amounts
are arbitrary and not in accordance with the market
Intracompany
Market
Supplier offer:
price = $240
Decisions and Profits of the Subunits in Case 3
PROFIT SUBUNIT 1
DECISION SUBUNIT 1
PROFIT SUBUNIT 2
DECISION SUBUNIT 2
PROFIT COMPANY
125 2 100 = 25
125 2 116 = 9
Intracompany
preferred
240 2 125 2 120 = 25
240 2 135 2 125 = 220
Reject
supplementary order
240 2 100 2 120 = 20
125 2 116 = 9
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Decisions and Profits of the Subunits Based on a
Marginal-Cost-Based Transfer Price with Linear Cost Functions
Table 4:
PROFIT SUBUNIT 1
0.3 • x 2 100 2 0.3 • x = –100
DECISION SUBUNIT 1
Irrelevant, as marginal costs = variable costs and thus profit always = a loss in the amount of the fixed costs
PROFIT SUBUNIT 2
31 • x 2 1.2 • x2 2 0.3 • x 2 30 2 x = 21.2 • x2 + 29.7 • x 2 30
DECISION SUBUNIT 2
x opt = 29.7/2.4 = 12.375 (Profitmax = 153.77)
PROFIT GROUP
31 • x 21.2 • x2 2 100 2 0.3 • x – 30 2 x = 21.2 • x2 + 29.7 • x 2 130
DECISION GROUP

Identical to Subunit 2 (Profitmax = 53.77)
prices and shift the risk to the supplying subunit.
Marginal versus full cost represents the next category.
Marginal costs fulfill the function of coordination
because the marginal-cost-based transfer price leads to
“optimal” decisions of the purchasing subunits, and the
independence of the subunits remains unchanged. As a
result, the supplying subunit makes an accounting loss
by approximating the fixed costs per unit, assuming linearity of cost behavior. The purchasing subunit regularly earns high profits, and the issue of profit allocation is
unresolved.
This model, known as the Hirshleifer model, is the
next example: The business units’ decisions are identical to the decisions of corporate headquarters if headquarters had all the information. It supports the
academic logic of management accounting in which
only marginal costs are relevant in the short-term view.
To analyze this point and shed some light on the specific problems of it, we introduce a new example where
the cost functions of subunits 1 and 2 are simple linear
equations as follows: C1 = 100 + 0.3x and C2 = 30 + x.
The demand curve for the final product is given as:
p(x) = 31 – 1.2x. Based on profit-maximization theory,
which equates marginal cost with marginal revenue, the
optimal solution is an output of 12,375 units and a loss
of $100 (subunit 1) and $153.77 (subunit 2). Table 4
summarizes profit functions and decisions.
We assumed linear cost functions in the example. In
a modification of the previous example, now we assume
a nonlinear cost function of subunit 1 because this
shows that the described solution of the Hirshleifer
model will not work anymore. The cost function of the
supplying business unit changes to C1 = 100 + 0.3 * x2,
dent decisions in the company’s best interests.
In summary, the main advantage of market-based
transfer prices is that they are objective and unbiased
measures, although they might fluctuate because of market conditions over time. Further, they are difficult to
manipulate. As case 3 shows, market-based transfer
prices perform the profit-allocation function except when
synergies and interdependencies exist. When an imperfect market exists, a company may not fulfill the coordination function. Further questions remain, such as:
? What if the market price cannot be determined?
? How often are market prices measured?
? Will they be based on short-term single-productionrun offers or long-term high-volume offers?
These questions indicate that using market-based
transfer prices presents practical difficulties.
Cost-Based Transfer Prices
Depending on one’s definition of cost, cost-based transfer prices can provide a variety of figures for determining intracompany trading. Cost-based prices are the
most common type in practice, and they represent an
alternative if a market price does not exist. In accounting terms, “cost” can be defined in a variety of ways,
including actual versus budget (or standard); marginal
versus absorbed (full) cost; and whether one uses pure
cost or cost-plus to determine transfer prices. The
first classification, actual versus standard costs, concerns
the issue of who will take the risk of cost deviations
and variances. Using actual costs—i.e., ex-post price
determination—transfers the risk associated with cost
deviations to the purchasing subunit. In contrast, standard costs require the ex-ante determination of the
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Decisions and Profits of the Subunits
Based on a Marginal-Cost-Based Transfer Price
with Nonlinear Cost Functions
Table 5:
PROFIT SUBUNIT 1
TP • x 2 100 2 0.3 • x2
DECISION SUBUNIT 1
Because of nonlinear cost function, headquarters has to set transfer price at 0.6 x (knowing x!):
TP=6 (Profit = 270) xopt = 10
PROFIT SUBUNIT 2
31 • x 2 1.2 • x2 2 6 • x 2 30 2 x = 21.2 • x2 + 24 • x 2 30
DECISION SUBUNIT 2
xopt = 24/10 = 10 (Profitmax = 90)
PROFIT COMPANY
31 • x 2 1.2 • x2 2 100 2 0.3 • x2 2 30 2 x = 21.5 • x2 + 30 • x 2 130
DECISION COMPANY
xopt = 10 (Profitmax = 20)
and this Hirshleifer model proves that marginal-costbased transfer prices, while seemingly supporting the
coordination function, provide an apparent solution.
This is so because the company headquarters has to
announce the transfer price (where TP= $6 (for xopt =
10); profit subunit 1 (2) = 2$70 ($90)). In the case of a
nonlinear cost function, this requires the knowledge of
x, the amounts of product units. Marginal costs of subunit 1 are 0.6 * x; i.e., x remains unknown, and, therefore, xoptimum must be known to determine xoptimum,
and, with it, a circularity problem exists, and headquarters can find a solution by announcing the transfer price
after determining xoptimum. In other words, only an
apparent solution is found because independent subunits are not independent anymore as headquarters
must know x and use it for presenting the transfer
price. This problem is only linked to nonlinear cost
Figure 4:
functions. Therefore, the example started with a linear
cost function C1, and we then modified it to a nonlinear
function to illustrate the unsuitability of transfer prices
based on marginal costs.
Another problem is that profit allocation is not performed because there is an arbitrary split of the profits
between the business units that typically favors the purchasing business units.
Table 5 shows the profits of both subunits, summarizes their decisions, and represents the subunits’ decisions (decentralized decisions) in comparison to the
company’s perspective as a whole (centralized decision).
The decisions are identical in each case (xopt=10).
In regard to behavioral effects, two problems become
obvious: First, from the viewpoint of the supplying
business unit, the unit probably will end up with a loss.
The loss in the previous example is $70. Understanding
Case 4—A Marginal-Cost-Based Transfer Price
with Nonlinear Cost Function
Input factors
Input factors
SUBUNIT 1
Costs:
C1 = 100 + 0.3 • x2
SUBUNIT 2
Intermediate
product
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Costs:
C2 = 30 + x
WINTER 2010, VOL. 11, NO. 2
Final product
Market price of final
product:
p(x) = 31 – 1.2 • x
increase with higher volume, and, in principle, this
leads to an approximation toward the market-based
transfer prices.
As an alternative to marginal costs, companies can
use fully absorbed cost-based transfer prices. The basic
idea is that the supplying subunit should be able to
meet all of its costs and should not incur an accounting
loss on the internal transaction. Certain variations of
costs exist, such as using production costs or, alternatively, total costs to include a portion of selling, distribution, and administrative overheads.
A major problem of this type of transfer price is the
distortion of the group’s cost structure. The reason is we
can regard the transfer price from the viewpoint of the
purchasing unit, and it regards the transfer price as a
variable cost even though it includes an element of
fixed cost. Therefore, decisions made seemingly on
variable cost actually include fixed-cost portions, and
this distortion leads to suboptimal decisions. The problem that full cost includes irrelevant parts for short-term
decisions highlights the problem that the allocation of
fixed overhead costs is always arbitrary. The distortion
intensifies if we use cost-plus transfer prices that
include a surcharge, such as a percentage of full costs,
the required return on capital employed (ROCE), or
the return on investment (ROI).
A step toward a solution may be the multitier transfer
price. Figure 5 shows a two-tier scheme: a single periodic amount for reserving capacity as an equivalent to the
fixed costs this capacity level causes and current products the company will buy at marginal (variable) costs.
Effects arising from this two-tier scheme are that the
the procedure, the subunit can gain advantages by
reporting a distorted cost function by, for instance,
increasing the reported variable costs that lead to higher
marginal costs and, thus, transfer price. In this example,
the distortion to a cost function of C1= 100 + 0.4 * x2
changes the company’s and business units’ decisions
and reduces the loss from $70 to $64.84 (TP=$7.50, xopt.
= 9.375). The total company profit falls by about 47%
from $20 to $10.63 (by 88% for C1= 100 + 0.5 * x2, etc.).
Second, from the viewpoint of the purchasing business
unit, understanding the procedure changes the unit’s
profit function because the business unit realizes that
the transfer price is not independent of the amount of
products. The transfer price is a function of x and therefore maximizes the following profit function using the
initial cost function: C1= 100 + 0.3 * x2: Profit2 = p(x) x
– TP(x) x – K2(x) = (31 – 1.2x) x – 0.6×2 – 30 – x. As a
result, a different optimum amount of units produced
arises and is not consistent with the initial solution (x =
8.33 versus x = 10). The profit of subunit 2 rises from
$90 to $95, exemplifying the dysfunctional incentive.
Marginal-cost-based transfer prices cause other dysfunctional behavior. The supplying business unit has an
incentive for untruthful reporting and, in general, to
qualify the highest possible portion of the costs as being
variable. Further, supplying business units will oppose
investments that will lead to smaller variable and higher
fixed costs, known in literature as the hold-up problem
of investments.4
This example shows that the theoretical view of
solutions—the optimum achieved by applying marginal
costs—may not work in company practice because of
other considerations, such as behavioral effects. Theory,
however, does provide insights for issues highly relevant in practice.
In summary, using marginal-cost-based transfer prices
leads to the central optimum in the short-term view,
i.e., the fulfillment of the coordination function. This
may only be an apparent solution and does not work in
the case of nonlinear cost functions. The profit-allocation
function is not fulfilled, and the supplying business unit
usually ends up with a loss. This might be overcome by
multitier schemes we will describe.
The capacity limit of the marginal costs is the point
that includes opportunity costs. Opportunity costs
M A N A G E M E N T A C C O U N T I N G Q U A R T E R LY
Multitier Transfer Price
(Two-Tier Scheme)
Figure 5:
Transfer Price
Marginal Costs/per unit
Single Payment/per period
Production Volume
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Figure 6:
Suggestions for Dual Transfer Prices
HEADQUARTERS
Supplying subunit receives the average
net margin of the buying subunit
Purchasing subunit pays the average
full costs of the supplying subunit
PURCHASING
SUBUNIT
SUPPLYING
SUBUNIT
Market
Through maximizing the total profit, the central solution leads to an output volume of 10 units and a profit
of $20. The transfer price, TP1, as the sales price of the
supplying subunit, is deducted from the average net
margin of the purchasing subunit, and, in the example,
TP1 is: 21.2x + 30 – 30/x. The maximized profit, P1, is
identical to the company’s total profit and, therefore,
leads to an identical decision about units produced and
sold. The transfer price, TP2, as the average full cost of
the supplying subunit in this example, is 0.3x + 100/x,
and the profit function, P2, is also identical to the previous profit functions, as are the decisions.
This procedure is characterized by a subsidization of
the supplying subunit. Because of increased subsidization, an untruthful reporting of cost functions can be
beneficial to all subunits, provided that a collusive
agreement between the subunits on combined “distorted” cost functions is made. In other words, the untruthfully reported cost functions relate to each other, with
both subunits calculating identical unit numbers produced and sold.
In summary, several problems arise with the dual
transfer prices. The subunits’ profits appear to be too
high because headquarters subsidizes them. There is a
strong incentive to do internal business because headquarters pays a subsidy to each unit to increase the subunit’s profits. Both subunits report the same profit,
which means the profit-allocation function is not
achieved. Besides that, in general there is low acceptability because it is not obvious what the “real” or “correct” transfer price is. This type of transfer price
involves a number of organizational efforts.
supplying subunit is reimbursed for its full costs and
can possibly even earn a profit and that the periodic
payment does not affect short-term decisions about
single product orders that are made based solely on
marginal costs. The two-tier scheme achieves the
coordination function. Yet problems arise for capacity
planning because several questions come up,
such as:
? What happens with idle capacity?
? What type of fixed costs will we use to determine
the single payment—actual capacity use (known expost only), former average capacity use, or reported
planned capacity use?
? When will the payment be renegotiated—periodically
or when the capacity is