Can someone explain this question and answer to me?

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    Topic
  • #175900
    rlg5150
    Participant

    A company has the following target capital structure and costs:


    Proportion of capital structure


    Cost of capital

    Debt


    30%


    10%

    Common stock— 60%


    12%

    Preferred stock—-10%


    10%

    What is the company’s weighted-average cost of capital?

    Here’s what I thought:

    Debt: .3 x .1 = .03

    Common Stock: .6 x .12 = .072

    Preferred Stock: .1 x .1 = .01

    .03 + .072 + .01 = 11.2%

    10 points to whoever can explain to me the right answer. I’ll give you a hint: it’s not 11.2%.

    FAR - 85
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Viewing 8 replies - 1 through 8 (of 8 total)
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  • #393650
    wobrie4
    Member

    You have common stock and preferred stock right. You need the after-tax cost of debt. What's the tax rate? I vaguely remember this problem on Becker….

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    #393651

    is this the same question you posted in the other thread? I think its missing the tax affect.

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    #393652

    OOPS double post

    CA CPA - All because of the journey listed below
    -----------------------------------------------------------------------
    FAR - 53('10), 8/25/12 79 PASSED!
    REG - 66('11), 69('12), 12/06/12 77 PASSED!!
    BEC - 58('10), 74('12), 01/05/13 77 PASSED!!!
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    #393653
    2012passtheCPA
    Participant

    I was too late! I was going to say ‘tax effect the debt'.

    #393654
    rlg5150
    Participant

    So it's not just me, then.. I gave you the entire problem. The answer mentioned subtracting out the marginal tax but I guess they forgot to give it. I was wondering if there's some way to calculate it based on the information given.

    FAR - 85
    AUD - 86
    BEC - 84
    REG - 88

    #393655
    FlipACoin
    Participant

    You can calculate the tax rate once you have the answer 🙂 but short of that, unless there is some other tidbit in the problem that indirectly points out tax rate, you cannot answer the problem.

    #393656
    sdgh1826
    Member

    Debt is taxable. Therefore:

    Debt .3 x .07 (1 – tax rate, 1 – .3) = 0.021

    CS .6 x.12 = 0.072

    PS .1 x .1 = 0.01

    Ans: 10.3% (I made the same mistake as you did the first time I encountered this probem).

    Debt is cheaper than equity because it is taxable. Studying BEC too. Hope I helped a bit

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    #393657
    no.cruncher
    Member

    I was just working on the Cost of Capital Components and WACC this whole week, and I was searching for where that Tax Rate was accounted for: In any case, here's my regurgitation straight from my head, for my or your reference, and or correction 🙂

    (Cost of Capital Components) = (CCC)


    CdT : “After-tax Cost of Debt” = i rate ( 1 – .T )

    Cps: “Net of Float, Cost of P/S” = [ P/S Divs / P/S Po ( 1 – .F ) ]

    Cce: via R/E OR Issued C/S

    Cr/e : “Cost of R/E Equity” = ( D1 / Po ) + *G

    OR

    Cc/s: “Net of Float, Cost of Newly Issued C/S Equity” = ( D1 / Po ) + *G

    ==========================================================

    Weight A Average CC = WACC = WA*CdT + WA*Cps + WA*Cce

    ==========================================================

    NOTE:

    WACC ~ Target: Optimal Capital Structure : Increase S/H Wealth : Increase Stock P. : Increase Firm Value

    Costs of Capital ~ Required Rates of Returns (RROR) by Investors and or Shareholders

    Cc/s > Cr/e because External Funding via C/S has Stock Issuance Costs ~ Float %

    Capital Source Funding Increases : (WACC) Increases : Marginal Cost of Capital (MCC) Increases

    Long Run : MCC > WACC

    D1 = Next Year's Dividends @ t = 1

    Po = Initial Current Stock Price @ t = 0

    .DPO = Dividends Payout Ratio = C/S Dividends / NI

    *G = Retention Rate * ROE = ( 1 – .DPO ) ( NI / Equity ) = ( 1 – C/S Divs / NI ) ( NI / Equity ) = ( R/E / NI ) ( NI / Equity)

    = ( R/E / NI)

    G Dependent on RROR ~ Cc/s, Otherwise G not met!

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