Text Problem Sets and Concept and Principles Summary
FIN 571
Text Problem Sets and Concept and Principles Summary
Problem A3: (Bond valuation) General Electric made a coupon payment yesterday on its 6.75% bonds that mature in 8.5 years. If the required return on these bonds is 8% APR, what should be the market price of these bonds? PMT -33.75
FV -1000
N 17
Rate 4%
Market Price $923.96
Fair Value of a bond = C/r*(1-1/(1+r)^n)+M/(1+r)^n
Assuming that it’s a semi-annual bond with face value of $1000
A13. (Required return for a preferred stock) Sony $4.50 preferred is selling for $65.50. The preferred dividend is non-growing. What
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What is the realized return on your investment? CALC: n = 2.5 x 2 =5 r = ? PV = -$500 PMT = 8.8% x 1000 / 2 = $44
FV = $150 - 44 = $106 r = -10.72%
APY = (1 + r)m - 1
APY = (1 - 0.1072)2 - 1
APY = -20.29%
b. The firm does far better than expected and bondholders receive all of the promised interest and principal payments. What is the realized return on your investment? CALC: n = 10 x 2 =20 r = ? PV = -$500 PMT = 8.8% x 1000 / 2 = $44 FV = $1000 r = 10.46%
APY = (1 + r)m - 1
APY = (1 + 0.1046)2 - 1
APY = 22.01%
B12 .
(CAPM) Owego Storage and Housing, Inc., is considering building a new warehouse in Endicott, New York. Owego Storage has 2 million common shares outstanding. The share price is $11. Assume rf = 4.5%, β = 0.75, and rM − rf = 11.5%. Estimate Owego Storage’s required return on its equity investment in the new warehouse.
C1. (Beta and required return) The riskless return is currently 6%, and Chicago Gear has estimated the contingent returns given here.
Calculate the expected returns on the stock market and on Chicago Gear stock.
What is Chicago Gear’s beta?
What is Chicago Gear’s required return according to the CAPM? 1) Expected Return on Stock Market E(Rstock market) = [(0.20 * -0.10) + (0.35 * 0.10) + (0.30 * 0.15) + (0.15 * 0.25)
Expected Return on Stock Market E(Rstock market) = (-0.02 + 0.035 + 0.045 + 0.0375) Expected Return on Chicago Gear
e. If we evaluated at the same effective rate, the earlier payments would give the semiannual bond the higher value.
4) Using the stock price and return data in Exhibits 5 and 6, estimate the CAPM beta
In the mini-case, Mr. Breezeway indicated two kinds of percentage to determine the required return. One of them is the companies' return on book equity (% 15) and the other one is the investment return percentage in the rural supermarket industry (% 11) which shows that investors in rural supermarket chains, with risks similar to Prairie Home Stores, expected to earn about % 11 percent on average. Since the companies' rate of return determined by the rate of return offered by other equally risky stocks, then it should be % 11.
11. What is the Cost of Equity? ke = Risk Free Rate + (Beta X Risk Premium of 7.5% points). .03 + (.99 x .075) = 10.43%.
4. Now consider a second alternative for accumulating funds to buy the new billing system. In lieu of a lump sum investment, assume that five annual payments of $32,000 are made at the end of each year.
FVN = FV1= PV × (1 +I)N = $500 x (1 + 0.08) = $500 x 1.08 = $540
b. What would Mrs. Beach have to deposit if she were to use common stock and earned an average rate of return of 11%.
Given these approximations, the CAPM model would total the risk-free rate and the market risk premium times beta to arrive at a cost of equity of 9.68%, which reflects the investors’ expected return from investing in shares of the company.
-Martin Industries just paid an annual dividend of $1.30 a share. The market price of the stock is $36.80 and the growth rate is 6.0 percent. What is the firm's cost of equity?
Cost of Equity = Risk free rate + (Market return – risk free rate) X beta
a. What risk-free rate and risk premium did you use to calculate the cost of equity?
Risk free rate + Equity Beta * (Expected return on market - Risk free rate)
Solutions to Valuation Questions 1. Assume you expect a company’s net income to remain stable at $1,100 for all future years, and you expect all earnings to be distributed to stockholders at the end of each year, so that common equity also remains stable for all future years (assumes clean surplus). Also, assume the company’s β = 1.5, the market risk premium is 4% and the 20-30 year yield on risk free treasury bonds is 5%. Finally, assume the company has 1,000 shares of common stock outstanding. a. Use the CAPM to estimate the company’s equity cost of capital. • re = RF + β * (RM – RF) = 0.05 + 1.5 * 0.04 = 11% b. Compute the expected net distributions to stockholders for each future year. • D = NI – ΔCE = $1,100 – 0 = $1,100 c. Use the
RE = D1/P0 + g = (D0 (1 + g))/P0 + g RE = 11.46%
3. The expected return for each firm was calculated: Expected Return = Alpha + (Beta x BSE 500 actual return).