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Published byAbraham Owens Modified over 9 years ago
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TYPES AND COSTS OF FINANCIAL CAPITAL 1 ENTREPRENEURIAL FINANCE
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Interest Rate: price paid to borrow funds Default Risk: risk that a borrower will not pay the interest and/or principal on a loan 2
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Nominal Interest Rate (r d ): observed or stated interest rate the rate quoted in loan and deposit agreement Real Interest Rate (RR): interest one would face in the absence of inflation, risk, illiquidity, and any other factors determining the appropriate interest Is the growth rate of purchasing power derived from an investment. Real Interest Rate = Nominal Interest Rate – Inflation Example: Earn 4% from saving account ; inflation 3% ; Real Interest Rate = 4% - 3% = 1% Risk-free Interest Rate (r f ): interest rate on debt that is virtually free of default risk Inflation: Rising prices not offset by increasing quality of the goods or services being purchased A rate at which the general level of prices for goods and services is rising but purchasing power is falling Every dollar will buy smaller percentage of good 3
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Inflation Premium (IP): average expected inflation rate over the life of a risk-free loan Default Risk Premium (DRP): additional interest rate premium required to compensate the lender for the probability that a borrower will default on a loan the higher the quality of the loan, the lower the DRP, thus, lower nominal interest rate Liquidity Premium (LP): charged when a debt instrument cannot be converted to cash quickly at its existing value Maturity Premium (MP): premium to reflect increased uncertainty associated with long- term debt 4
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r f = RR + IP for debt by effectively default-free borrowers (e.g. U.S. government) r d = RR + IP + DRP +LP +MP more generally, for more complicated risky debt securities at various maturities and liquidities r d = r f + DRP + LP + MP 5
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r d = RR + IP + DRP +LP +MP Suppose: Real interest rate = 3% Inflation expectation = 3% Default risk = 5% Liquidity premium = 3% Maturity premium = 2% Then: r d = 3% + 3% + 5% + 3% + 2% = 16% 6
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Dividend Growth Model Approach 7
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The Security Market Line Approach Depends on three things ▪ The risk free rate, rf ▪ The market risk premium, E(Rm) – rf ▪ The systematic risk of the asset relative to average, which called Beta Coefficient, β E(Re) = rf +βe x (E(Rm) – rf) ▪ Example: rf : 0.2% ; βe : 1.1 ; market premium : 7% ▪ E(Re) = 0.2% x 1.1 (7%) = 7.9% 10
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11 Assume the previous example in SML: Do = $0.05 g = 9.45% Po = $2.41 With Dividend Growth Model: D1 = Do (1+g) = 0.05 (1+0.0945) = 0.0547 Re = D1 / Po + g = 0.0547 + 0.0945 = 11.72% Average cost of equity (SML and dividend approach) Re average = (7.9% + 11.72% ) / 2 = 9.81%
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WACC: weighted average cost of the individual components of interest- bearing debt and common equity capital V = E + D E = Equity ; D = Debt 100% = E / V + D / V WACC = (E/V) x Re + (D/V) x Rd x (1 – Tc) Tc = Tax Rate 12
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Example: E = $7.152 million ; D = $2.516 million V = 7.152 + 2.516 = 9.668 E / V = 7.152 / 9.668 = 0.7398 D / V = 2.156 / 9.668 = 0.2602 Re = 7.06% Rd = 3.43% Tc = 18% WACC = 0.7398 (7.06%) + 0.2602 (3.43%) (1-0.18) = 5.22% + 0.73% = 5.95% WACC for the company is 5.95% 13
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If more than 1 debt / cost of debt E/V = 0.83 D/V = 0.17 Tc = 18% Re = 10.43% Rd = 1.65% WACC = 0.83 (10.43%) + 0.17 (1.65%)(1-0.18) = 8.66% + 0.23% = 8.89% 14
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