(c/2) (d0.5 + d1) + d1 = 1 ⇒ c = 2(1-d1)/(d0.5+d1) = 5.8233% e) What is the 0.5-year zero rate? r0.5 = 2(d0.5-1-1) = 5.9406% f) What is the 1-year zero rate? r1 = 2(d1-1/2-1) = 5.8216% g) Considering the shape of the yield curve, should the yield on the 1-year 10%coupon bond be higher or lower than the 1-year par rate? Higher. Both the 10%-coupon bond and the par bond have yields that are some average of the two zero rates.
A company issued a 30-year, $1,000 par value bond that has 10.85% coupon rate. Coupons are paid out semi-annually and the relevant interest rate is 9% compounded semiannually. a. (3 points) What was the value of this bond when it was issued? PMT = (.1085/2)*1000=54.25 N = 60 R = 0.09/2=0.045 (or 4.5 for calculator purposes) FV = 1000 PV =?
Show clearly the steps to arrive at the following estimates in Exhibit 10: Enterprise Value as Multiple of: Revenue EBIT EBITDA Net Income 6,252 8,775 9,023 7,596 6,584 9,289 9,076 7,553 MV Equity as Multiple of: EPS Book Value 4,277 5,904 4,308 5,678 Median Mean If you need to use a discount rate to discount cash flows then an appropriate discount rate estimate for PacifiCorp is approximately 9%. 3. Bid assessment: How do you assess the bid for PacifiCorp by Berkshire Hathaway? How much does Buffett pay for PacifiCorp for its equity and as a whole? How do these values compare with the firm’s intrinsic values estimated above?
ALTERNATIVE PROBLEMS AND SOLUTIONS ALTERNATIVE PROBLEMS 11- 1A. (Individual or Component Costs of Capital) Compute the cost for the following sources of Financing: a. A bond that has a $1,000 par value (face value) and a contract or coupon interior rate of 12%. A new issue would have a flotation cost of 6% of the $1,125 market value. The bonds mature in 10 years.
The difference between coupon rate and required return are equal only if the bond sells for exactly par. Questions and problems Problem # 3 Bond prices: Zevon Inc., has 7 percent coupon bonds on the market that have 8 percent left to maturity. The bonds make annual payments. If the YTM on these bonds is 9 percent, what is the current bond price? Bond value= C*[1-1(1+r)^t]/r + F/(1+r)^t = 70*[1-1(1+0.09)^8]/0.09 + 1000/(1+0.09)^8 = 889.30 Problem # 13 Using Treasury quotes: locate the treasury issue in figure 6.3 maturing in June 2023.
If the Company has to prepare financial statements on March 31st, what would the entry be? A Debit to the Put Option and a a. Credit Unrealized holding gain – Income Statement $805 b. Credit Unrealized holding gain – OCI $805 c. Credit Unrealized holding gain – Income Statement $95 d. Credit Unrealized holding gain – OCI $95 e. None of the above 3. Good Citizen, Inc. incurred their first loss during this fiscal year on both their financial statements and tax returns.
The annual growth rate is I in the following equation: $1(1 + I)10 = $2. We can find I in the equation above as follows: Using a financial calculator input N = 10, PV = -1, PMT = 0, FV = 2, and I/YR = ? Solving for I/YR you obtain 7.18%. Viewed another way, if earnings had grown at the rate of 10% per year for 10 years, then EPS would have increased from $1.00 to $2.59, found as follows: Using a financial calculator, input N = 10, I/YR = 10, PV = -1, PMT = 0, and FV = ?. Solving for FV you obtain $2.59.
Week 3 Pg 210-211 5-1 Bond Valuation with Summary Payments (N = 12; I/YR = YTM = 9%; PMT = 0.08 × 1,000 = 80, FV = 1000) PV = 928.39 5-2 Yield to Maturity for Annual Payments (N = 12; PV = -850; PMT = 0.10 × 1,000 = 100; FV = 1000) YTM = 12.48% 5-6 Maturity Risk Premium r* = 3%; IP = 3%; rT-2 = 6.3%; rT-2 = r* + IP + MRP = 6.3% rT-2 = 3% + 3% + MRP = 6.3% MRP = 0.3% 5-7 Bond Valuation with Semi Annual Payments (N = 16; I/YR = 8.5/2 = 4.25; PMT = 50; FV = 1000) PV=1,085.80 5-13 Yield to Maturity and Current Yield N = 5, PMT = 80, and FV = 1000 Current yield = Ann interest/Current price 0.0821 = $80/PV PV = $80/0.0821 = $974.42 (N = 5, PV = -974.42, PMT = 80, and FV = 1000) = 8.65% 6-6 Double Beta pg 257 If a company’s beta were to double, would its expected return double? If a company’s beta were to double the expected return wouldn’t because an increase in beta would increase a company’s expected return only by the amount equal to the market risk premium multiplied by the change in the beta amount. Pg 258-259 6-1 Portfolio Beta An individual has $35,000 invested in a stock with a beta of 0.8 and another $40,000 invested in a stock with a beta of 1.4. If these are the only two investments in her portfolio, what is her portfolio’s beta? $35,000 0.8 1st Investment, 40,000 1.4 2nd Investment Total $75,000 ($35,000/$75,000)(0.8) + ($40,000/$75,000)(1.4) = 1.12 6-2 Required Rate of Return Assume that the risk-free rate is 6% and that the expected return on the market is 13%.
Given the following cash flow stream at the end of each year: Year 1: $4,000 Year 2: $2,000 Year 3: 0 Year 4: -$1,000 Using a 10% discount rate, the present value of this cash flow stream is: a. $4,606 b. $3,415 c. $3,636 d. Other 8. Consider a 10-year annuity that promises to pay out $10,000 per year, given this is an ordinary annuity and that an investor can earn 10% on her money, the future value of this annuity, at the end of 10 years, would be: a. $175,312 b.