Quiz 2

Learning Objectives

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Python Week 1: the first filter for runtime behavior
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# Learning Objectives - Calculate the Weighted Average Cost of Capital - Estimate cost of equity, cost of debt, and cost of preferred stock - Apply WACC in capital budgeting decisions ## 1. Cost of Debt **Before Tax:** Yield to maturity on existing debt.

Learning Objectives

  • Calculate the Weighted Average Cost of Capital
  • Estimate cost of equity, cost of debt, and cost of preferred stock
  • Apply WACC in capital budgeting decisions

1. Cost of Debt

Before Tax: Yield to maturity on existing debt. After Tax: kd(1-t) - interest is tax deductible.

2. Cost of Equity

CAPM Approach: E(R) = Rf + beta(Rm - Rf) Dividend Discount Model: Re = D1/P0 + g (growth rate) Bond Yield Plus Risk Premium: Re = Rd + equity risk premium

3. WACC

WACC=wdkd(1t)+weke+wpkpWACC = w_d k_d(1-t) + w_e k_e + w_p k_p
Worked Example:
  • Debt: 40% of capital, kd=8%, tax=30%
  • Equity: 60%, ke=12% WACC = 0.40 x 8% x (1-0.30) + 0.60 x 12% = 0.40 x 5.6% + 0.60 x 12% = 2.24% + 7.2% = 9.44%
ConceptFormula
After-tax Cost of Debtkd(1-t)
Cost of Equity (CAPM)Rf + beta(Rm - Rf)
Cost of Equity (DDM)D1/P0 + g
WACCwd kd(1-t) + we ke + wp kp
Q1: Company has 50% debt, 50% equity. kd=6%, tax=25%, ke=11%. WACC?
WACC = 0.5 x 6% x 0.75 + 0.5 x 11% = 2.25% + 5.5% = 7.75% Q2: Why use after-tax cost of debt?
Interest expense is tax-deductible, reducing the effective cost. Q3: How does the DDM estimate cost of equity?
Re = D1/P0 + g. D1 is expected dividend, P0 is current price, g is growth rate. Q4: If a firm takes on more debt, what happens to WACC?
Initially WACC may decrease due to tax shield. But as financial risk increases, both kd and ke rise, eventually increasing WACC. Join Discord PreviousRisk, Return & CAPMNextCapital Structure Theory
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