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Medical Research Corporation has been expanding its production capacity and rese

ID: 2754317 • Letter: M

Question

Medical Research Corporation has been expanding its production capacity and research to introduce a new product line. Current plans call for spending $ 100 million in four projects of the same magnitude ($ 25 million each), but offer different performance. Project A is on proteins for blood clotting and has an expected return of 18%. Project B is related to a vaccine for hepatitis and includes an expected return of 14%. The C project, which is a cardiovascular compound, has expectations to win 11.8%, and D project, an investment of orthopedic implants, has the expectation of showing a 10.9% yield.

The company has $ 15 million in retained earnings. After a capital structure is reached with $ 15 million in retained earnings (in which the retained earnings account for 60% of funding), any additional equity financing should be channeled in the form of new common capital.

The common stock sold at a price of $ 25 per share and insurance costs have been estimated at $ 3 if the new shares are issued. The dividends for the following year will be $ 0.90 per share (D), and profits and dividends have consistently grown 11% per year.

The comparative performance of bonds has been hovering around 11%. The investment banker feels that the first $ 20 million of bonds could be sold so that changeover yield 11% while the additional debt may require a premium of 2% and sold so that changeover yield 13%. The corporate tax rate is 30%. The debt represents 40% of the capital structure.

c. What will be the marginal cost of the capital immediately after that point?

Explanation / Answer

Answer:c

Solution:

Marginal Cost of
Capital and Investment Returns

Medical Research Corporation

a. Kd   = Yield (1 – T)

            = 11% (1 – .30) = 11% (.70) = 7.70%

     Ke   = (D1/Po) + g

            = ($.90/$25.00) + 11.0% = 3.6% + 11.0% = 14.60%

Cost
(aftertax)

Weights

Weighted
Cost

Debt (Kd)........................................

Common equity (Ke)
(retained earnings).......................

Weighted average cost
of capital (Ka)...............................

    7.70%

14.60

    40%

    60

    3.08%

  8.76

11.84%

X=Retained earnings/% of retained earnings in the capital structure

=$15 million/0.50=$25 million

First compute Kn

     Kn   = (D1/(Po – F)) + g

            = ($.90/($25 – $3)) + 11%

            = ($.90/$22) + 11% = 4.09% + 11% = 15.09%

Cost
(aftertax)

Weights

Weighted
Cost

Debt (Kd)........................................

New common stock
(Kn)...............................................

Marginal cost of capital
(Kmc).............................................

    7.70%

15.09

    40%

     

    60

    3.08%

  9.05

12.13%

Solution:

Marginal Cost of
Capital and Investment Returns

Medical Research Corporation

a. Kd   = Yield (1 – T)

            = 11% (1 – .30) = 11% (.70) = 7.70%

     Ke   = (D1/Po) + g

            = ($.90/$25.00) + 11.0% = 3.6% + 11.0% = 14.60%

Cost
(aftertax)

Weights

Weighted
Cost

Debt (Kd)........................................

Common equity (Ke)
(retained earnings).......................

Weighted average cost
of capital (Ka)...............................

    7.70%

14.60

    40%

    60

    3.08%

  8.76

11.84%

X=Retained earnings/% of retained earnings in the capital structure

=$15 million/0.50=$25 million

First compute Kn

     Kn   = (D1/(Po – F)) + g

            = ($.90/($25 – $3)) + 11%

            = ($.90/$22) + 11% = 4.09% + 11% = 15.09%

Cost
(aftertax)

Weights

Weighted
Cost

Debt (Kd)........................................

New common stock
(Kn)...............................................

Marginal cost of capital
(Kmc).............................................

    7.70%

15.09

    40%

     

    60

    3.08%

  9.05

12.13%