MF Cost of Capital - Practice Questions

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  • 8/11/2019 MF Cost of Capital - Practice Questions

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    q1

    Par value 1000

    Discount 10%Coupon rate 6%

    Tax rate 30%

    6% 8%

    CF PVIF

    0 -900 1.00 900.00- 1.00 900.00-

    1 60 0.94 56.60 0.93 55.56

    2 60 0.89 53.40 0.86 51.44

    3 60 0.84 50.38 0.79 47.63

    4 60 0.79 47.53 0.74 44.10

    5 60 0.75 44.84 0.68 40.836 60 0.70 42.30 0.63 37.81

    7 60 0.67 39.90 0.58 35.01

    8 60 0.63 37.64 0.54 32.42

    9 60 0.59 35.51 0.50 30.01

    10 1060 0.56 591.90 0.46 490.99

    100.00 34.20-

    IRR =

    IRR = 7.454%

    After-tax cost of debt 5.22%

    ra + NPVa x (ra - rb)

    NPVa-NPVb

    A company wishes to purchase 100 machines at $720,000 each. It will issue debt at the full

    purchase price from 31 Dec 01 which would be redeemable at par value of $1000 in 10 years. The

    debt would be issued at 10% discount of the par value. Coupon interest rates at 6% and tax at

    30%. What is the after tax cost of debt?

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    Company A is funded as follows:

    Balance Sheet Extract

    MV Ratio

    Ordinary Shares (50c) 2,000 5,000.00 64.1%

    12% Loan Notes 1,500 1,590 20.4%

    8% Preference Shares ($1) 500 460.00 5.9%Bank Loan 750 750 9.6%

    7,800.00 100.0%

    Details on these are as follows.

    The company has an equity beta of 1.2. Government bonds are currently trading at 6% and t

    The Loan notes are currently trading at $106 and are redeemable at par in 5 years time.

    The preference shares are trading at 92c.

    The bank loan has an interest rate of 10%.

    The current share price is $1.25.

    The tax rate is 30%.

    Calculate the Weighted Average Cost of Capital.

    Cost of equity Cost of pref shares

    ke = rf + (rm - rf) kp = I/P

    ke 14.4% kp = 8.7%

    Cost of 12% Loan Notes WACC Equity

    Par value 100 Loan Note

    Market value 106 Pref ShareCoupon rate 12% Bank Loan

    Tax rate 30%

    11% 11%

    CF PVIF

    0 -106 1.00 106.00- 1.00 106.00-

    1 12 0.90 10.86 0.90 10.81

    2 12 0.82 9.83 0.81 9.74

    3 12 0.74 8.89 0.73 8.77

    4 12 0.67 8.05 0.66 7.905 12 0.61 7.28 0.59 7.12

    6 12 0.55 6.59 0.53 6.42

    7 12 0.50 5.97 0.48 5.78

    8 12 0.45 5.40 0.43 5.21

    9 12 0.41 4.89 0.39 4.69

    10 112 0.37 41.27 0.35 39.44

    3.02 0.11-

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    IRR = ra + NPVa x (ra - rb)

    NPVa-NPVb

    IRR = 10.982%

    After-tax cost of debt 7.69%

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    e average market risk premium is 7%.

    Cost Weightage Sumproduct

    14.4% 64.1% 9.2%

    7.69% 20.4% 1.6%

    8.7% 5.9% 0.5%10% 9.6% 1.0%

    WACC >>> 12.3%