3. Affiliate X sells 10,000 units to Affiliate Y per year. The marginal tax rates for X and Y are 20
percent and 30 percent, respectively. The transfer price per unit is currently set at $1,000, but it
can be set as high as $1,250. Calculate the increase in annual after-tax profits if the higher
transfer price of $1,250 per unit is used.
4. Affiliate A sells 5,000 units to Affiliate B per year. The marginal income tax rate for Affiliate A
is 25 percent and the marginal income tax rate for Affiliate B is 40 percent. The transfer price
per unit is currently $2,000, but it can be set at any level between $2,000 and $2,400. Derive a
formula to determine how much annual after-tax profits can be increased by selecting the
optimal transfer price.
Note To Instructor: The solution to this problem is consistent with the example presented in the
text as Exhibit 21.6.
Solution: Let
A and
B be the marginal income tax rate for Affiliate A and B. Further let Q
5. Affiliate A sells 5,000 units to Affiliate B per year. The marginal income tax rate for Affiliate A
is 25 percent and the marginal income tax rate for Affiliate B is 40 percent. Additionally, Affiliate
B pays a tax-deductible tariff of 5 percent on imported merchandise. The transfer price per unit
is currently $2,000, but it can be set at any level between $2,000 and $2,400. Derive (a) a
formula to determine the effective marginal tax rate for Affiliate B and, (b) a formula to determine