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FIN HW 2

A 10-year Circular File bond pays interest of $55 annually and sells for $984. What are its coupon rate and yield to maturity? (Do not round intermediate calculations. Round “Coupon rate” to 1 decimal place and “Yield to maturity” to 2 decimal places.)

Coupon rate[removed] %  
  Yield to maturity[removed] %

A 5-year Circular File bond pays interest of $50 annually and sells for $976. If Circular File wants to issue a new 5-year bond at face value, what coupon rate must the bond offer? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Coupon rate[removed] %  
A bond has 8 years until maturity, a coupon rate of 5%, and sells for $1,065.
a.What is the current yield on the bond? (Round your answer to 2 decimal places.)
  Current yield[removed] %  
b.What is the yield to maturity? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
  Yield to maturity[removed] %  

General Matter’s outstanding bond issue has a coupon rate of 8.6%, and it sells at a yield to maturity of 7.75%. The firm wishes to issue additional bonds to the public at face value. What coupon rate must the new bonds offer in order to sell at face value? (Round your answer to 2 decimal places.)

  Coupon rate[removed] % 
Refer the table below:
MaturityCouponBid PriceAsked PriceAsked Yield, %
2012 May 151.375       101:05       101:06       0.78
2013 May 153.625       106:31       107:01       1.23
2014 May 154.75       111:22       111:23       1.70
2020 May 158.75       144:17       144:19       3.44
2025 Aug 156.875       133:07       133:11       3.94
2030 May 156.25       128:25       128:27       4.12
2040 May 154.375       100:28       100:29       4.32
What is the current yield of the 4.75% 2014 maturity bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
  Current yield[removed] %  

One bond has a coupon rate of 5.4%, another a coupon rate of 8.2%. Both bonds have 13-year maturities and sell at a yield to maturity of 7.5%.

a.If their yields to maturity next year are still 7.5%, what is the rate of return on each bond? (Do not round intermediate calculations. Round your answers to 1 decimal place.)
 Rate of Return   
  Bond 1[removed] %
  Bond 2[removed] %
b.Does the higher coupon bond give a higher rate of return?
  
 [removed]Yes[removed]No

Fill in the table below for the following zero-coupon bonds. The face value of each bond is $1,000. (Do not round intermediate calculations. Round “Yield to maturity” to 3 decimal places and rest of the answers to 2 decimal places.)

      Price       Maturity (Years)Yield to Maturity
$320.00  20.00  [removed]%
320.00  [removed]  10.000 
[removed]Perpetual Life Corp. has issued consol bonds with coupon payments of $50. (Consols pay interest forever and never mature. They are perpetuities.)
a.If the required rate of return on these bonds at the time they were issued was 5%, at what price were they sold to the public?
  Price sold to the public$ [removed]  
b.If the required return today is 8%, at what price do the consols sell?
  Current price$ [removed]  
12.00  9.000 

Large Industries bonds sell for $1,096.52. The bond life is 11 years, and the yield to maturity is 7.2%. What must be the coupon rate on the bonds? (Do not round intermediate calculations. Enter your response as a percentage rounded to one decimal place.)

  Coupon rate[removed] %

Several years ago, Castles in the Sand, Inc., issued bonds at face value at a yield to maturity of 7.8%. Now, with 8 years left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to 15%. What is the price of the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Price of the bond$ [removed]  
b.Suppose that investors believe that Castles can make good on the promised coupon payments, but that the company will go bankrupt when the bond matures and the principal comes due. The expectation is that investors will receive only 90% of face value at maturity. If they buy the bond today, what yield to maturity do they expect to receive?(Do not round intermediate calculations. Round your answer to 2 decimal places.)
  Yield to maturity[removed] %  
You buy a(n) 7.6% coupon, 6-year maturity bond for $979. A year later, the bond price is $1,144.
a.What is the new yield to maturity on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
  Yield to maturity[removed] %  
b.What is your rate of return over the year?(Round your answer to 2 decimal places.)
  Rate of return[removed] %

You buy a(n) 5.4% coupon, 14-year maturity bond when its yield to maturity is 6.4%. A year later, the yield to maturity is 7.4%. What is your rate of return over the year? (Negative value should be indicated by a minus sign.Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Rate of return[removed] %

2-year maturity bond with face value of $1,000 makes annual coupon payments of $96 and is selling at face value. What will be the rate of return on the bond if its yield to maturity at the end of the year is (Do not round intermediate calculations. Round your answers to 2 decimal places.)

     Rate of Return
a.6%[removed] %        
b.9.6%[removed] %        
c.11.6%[removed] %  

A bond that pays coupons annually is issued with a coupon rate of 4.6%, maturity of 25 years, and a yield to maturity of 7.6%. What rate of return will be earned by an investor who purchases the bond and holds it for 1 year if the bond’s yield to maturity at the end of the year is 8.6%? (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Rate of return[removed] %

A bond’s credit rating provides a guide to its risk. Long-term bonds rated Aa currently offer yields to maturity of 8.8%. A-rated bonds sell at yields of 9.1%. Assume a 10-year bond with a coupon rate of 8.3% is downgraded by Moody’s from Aa to A rating.

a.Calculate the initial price. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
  Initial price$ [removed]  
b.Calculate the new price. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
  New price$ [removed]  

A 25-year maturity bond with face value of $1,000 makes annual coupon payments and has a coupon rate of 8%.

a.What is the bond’s yield to maturity if the bond is selling for $1,050? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
  Yield to maturity[removed] %  
b.What is the bond’s yield to maturity if the bond is selling for $1,000?
  Yield to maturity[removed] %  
c.What is the bond’s yield to maturity if the bond is selling for $1,250? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
  Yield to maturity[removed] %  

Finance Quiz

Question 1

  1. All of the following are steps in the analysis and valuation framework used to understand the fundamentals of a business and determine estimates of its value except:
a. Analyze the firm’s strategy in terms of the competition.
b. Assess the quality of the firm’s accounting and financial reporting.
c. Derive forecasts of future earnings from the firm’s projected financial statements.
d. Obtain the national ranking of the firm’s external auditors. 

1.2 points   

Question 2

  1. Clean surplus accounting for most common stock transactions holds for shares accounted for at market value. An exception to this is:
a. issuance of common equity shares for employee stock options exercises
b. repurchase of common shares
c. issuance of common shares to new shareholders in public exchanges
d. none of these.

1.2 points   

Question 3

  1. Which of the following is not a problem with using a dividend-based valuation formula
a. some firms do not pay a regular periodic dividend
b. dividends represent a transfer of wealth to shareholders
c. dividends are arbitrarily established
d. it is a challenge to forecast the final liquidating dividend

1.2 points   

Question 4

  1. Which of the following would likely be the most useful when valuing a dot.com company?
a. Price-earnings
b. Net asset value
c. Dividend yield
d. Discounted cash flow

1.2 points   

Question 5

  1. In theory, all three valuation models, when correctly implemented with internally consistent assumptions, will produce the same estimates of value.  However, in practice, which of the following errors can result in different value estimates? 
a. incomplete or inconsistent earnings and cash flow forecasts.
b. inconsistent estimates of weighted average costs of capital.
c. incorrect continuing value computations.
d. All of these errors result in different value estimates.

1.2 points   

Question 6

  1. At the beginning of 2012 investors had invested $25,000 of common equity in Grant Corp.and expect to earn a return of 11% per year. In addition, investors expect Grant Corp. to pay out 100% of income in dividends each year. Forecasts of Grant’s net income are as follows:
                2012 – $3,500
                2013 – $3,200
                2014 – $2,900
                2015 and beyond – $2,750

    Using this information what is Grant’s residual income valuation at the beginning of 2012?
a. $26,151
b. $26,041
c. $25,000
d. $26,350

1.2 points   

Question 7

  1. In some industries, competitive dynamics eventually drive long-run projections of the future returns earned by the firm to an equilibrium level equal to the long-run expected cost of equity capital in the firm. At that point, a firm can be expected to earn ____________ residual income in the future.
a. decreasing.
b. increasing.
c. zero.
d. There is not enough information to answer this question.

1.2 points   

Question 8

  1. Early in a period in which sales were increasing at a modest rate and plan expansion and start-up costs were occurring at a rapid rate, a successful business would likely experience
a. Increased profits and no change in financing requirements.
b. Decreased profits and increased financing requirements because of an increasing cash shortage.
c. Decreased profits and decreased financing requirements because of an increasing cash surplus.
d. Increased profits and increased financing requirements because of an increasing cash shortage.

1.2 points   

Question 9

  1. If an analyst expects a firm to generate net income each period exactly equal to required earnings, then the value of the firm will be
a. less than the book value of common shareholders’ equity.
b. greater than the book value of common shareholders’ equity.
c. exactly equal to the book value of common shareholders’ equity.
d. exactly equal to working capital.

1.2 points   

Question 10

  1. Zonk Corp.

    The following data pertains to Zonk Corp., a manufacturer of ball bearings (dollar amounts in millions):
Total assets $6,840
Interest-bearing debt $3,562
Average pre-tax borrowing cost 11.5%
Common equity:  
     Book value $2,560
     Market value $12,850
Income tax rate 35%
Market equity beta 1.24


  • Using the above information, calculate Zonk’s weighted-average cost of capital:
a. 11.89%
b. 10.90%
c. 11.5%
d. 7.48%

1.2 points   

Question 11

  1. Residual income is
a. the difference between the net income the analyst expects the firm to generate and the required earnings of the firm.
b. adjusted net income the firm reports.
c. the difference between the net income the analyst expects the firm to generate and the reported earnings of the firm.
d. the book value of common equity capital at the beginning of the period multiplied by the required rate of return on common equity capital.

1.2 points   

Question 12

  1. Jarrett Corp.
    At the end of 2010 Jarrett Corp. developed the following forecasts of net income:
  Forecasted
Year Net Income
2011 $20,856
2012 $22,733
2013 $24,552
2014 $27,252
2015 $29,978

  • Management believes that after 2015 Jarrett will grow at a rate of 7% each year. Total common shareholders’ was $112,768 on December 31, 2010. Jarrett has notestablished a dividend and does not plan to paying dividends during 2011 to 2015. Its cost of equity capital is 12%.

    What would be Jarrett’s common shareholders’ equity at the end of 2014?
a. $95,540
b. $180,909
c. $208,161
d. $112,768

1.2 points   

Question 13

  1. At the beginning of 2012 investors had invested $125,000 of common equity in Jan Corp.and expect to earn a return of 15% per year. In addition, investors expect Jan Corp. to pay out 100% of income in dividends each year. Forecasts of Jan’s net income are as follows:
                2012 – $41,000
                2013 – $35,400
                2014 – $33,200
                2015 and beyond – $25,000

    Using this information what is Jan’s residual income valuation at the beginning of 2012?
a. $190,262
b. $260,415
c. $184,600
d. $125,000

1.2 points   

Question 14

  1. Equity valuation models based on dividends, cash flows, and earnings have been the
    topic of many theoretical and empirical research studies in recent years. All of the following are true regarding these studies except:
a. temporary deviations of price from value occur
b. unexpected changes in earnings, dividends, and cash flows do not correlate closely
with changes in stock prices
c. share prices in the capital markets generally correlate closely with share value
d. share prices do not always equal share values

1.2 points   

Question 15

  1. Zonk Corp.

    The following data pertains to Zonk Corp., a manufacturer of ball bearings (dollar amounts in millions):
Total assets $6,840
Interest-bearing debt $3,562
Average pre-tax borrowing cost 11.5%
Common equity:  
     Book value $2,560
     Market value $12,850
Income tax rate 35%
Market equity beta 1.24


  • Determine the weight on debt capital that should be used to calculate Zonk’s weighted-average cost of capital:
a. 78.3%
b. 58.2%
c. 50%
d. 21.7%

1.2 points   

Question 16

  1. Assume that a firm’s book value at the beginning of the year is $17,800 and that the firm reports net income of $6,200. If the firm’s book value at the end of the year is $20,000 what was the amount of dividends paid during the year?
a. $4,000
b. $8,800
c. Insufficient information to determine
d. $2,200

1.2 points   

Question 17

  1. Dirty surplus items in U.S. GAAP typically arise from all of the following except:
a. realized gains
b. interest rates
c. foreign currency exchange rates
d. changes in investment security fair values

1.2 points   

Question 18

  1. Firm-specific factors that increase the firm’s nondiversifiable risk include all of the following except:
a. exposure to interest rate changes
b. exposure to management competence
c. exposure to cyclicality
d. exposure to inflation

1.2 points   

Question 19

  1. Assume that a firm had shareholders’ equity on the balance sheet at a book value of $1,600 at the end of 2010. During 2011 the firm earns net income of $1,300, pays dividends to shareholders of $600, and uses $300 to repurchase common shares. The book value of shareholders equity at the end of 2011 is:
a. $2,600
b. $3,800
c. $400
d. $2,000

1.2 points   

Question 20

  1. Under the cash-flow-based valuation approach, free cash flows can be used instead of dividends as the expected future payoffs to the investor in the numerator of the general valuation model because:
a. over the life of the firm, the free cash flows out of the firm for investments and cash flows paid into the firm in dividends from these investments will be equivalent.
b. this approach focuses on wealth distribution to shareholders.
c. this approach focuses on earnings as a measure of the capital that a firm creates.
d. over the life of the firm, the free cash flows into the firm and cash flows paid out of the firm in dividends to shareholders will be equivalent.

1.2 points   

Question 21

  1. Jarrett Corp.
    At the end of 2010 Jarrett Corp. developed the following forecasts of net income:
  Forecasted
Year Net Income
2011 $20,856
2012 $22,733
2013 $24,552
2014 $27,252
2015 $29,978

  • Management believes that after 2015 Jarrett will grow at a rate of 7% each year. Total common shareholders’ was $112,768 on December 31, 2010. Jarrett has notestablished a dividend and does not plan to paying dividends during 2011 to 2015. Its cost of equity capital is 12%.

    Compute the value of Jarrett Corp. on January 1, 2011, using the residual income valuation model. Use the half-year adjustment.
a. $112,768
b. $185,329
c. $195,540
d. $133,624

1.2 points   

Question 22

  1. One rationale for using expected dividends in valuation is
a. Dividends are paid in cash, and cash serves as a measurable common denominator for comparing the future benefits of alternative investment opportunities.
b. Dividend payout ratios are set based on profitability.
c. Dividends are a necessary payment in order for a firm to have value.
d. Dividends are the most reliable measure of value because most companies payout dividends to shareholders.

1.2 points   

Question 23

  1. Zonk Corp.

    The following data pertains to Zonk Corp., a manufacturer of ball bearings (dollar amounts in millions):
Total assets $6,840
Interest-bearing debt $3,562
Average pre-tax borrowing cost 11.5%
Common equity:  
     Book value $2,560
     Market value $12,850
Income tax rate 35%
Market equity beta 1.24


  • Assuming that riskless rate is 4.2% and the market premium is 6.2% calculate Zonk’s cost of equity capital:
a. 10.4%
b. 2.0%
c. 11.89%
d. 7.69%

1.2 points   

Question 24

  1. Required earnings are the
a. net income the analyst expects the firm to generate multiplied by the required rate of return on common equity capital.
b. the market value of common equity capital at the beginning of the period multiplied by the required rate of return on common equity capital.
c. the book value of common equity capital at the beginning of the period multiplied by the required rate of return on common equity capital.
d. adjusted net income multiplied by the required rate of return on common equity capital.

1.2 points   

Question 25

  1. Jarrett Corp.
    At the end of 2010 Jarrett Corp. developed the following forecasts of net income:
  Forecasted
Year Net Income
2011 $20,856
2012 $22,733
2013 $24,552
2014 $27,252
2015 $29,978

  • Management believes that after 2015 Jarrett will grow at a rate of 7% each year. Total common shareholders’ was $112,768 on December 31, 2010. Jarrett has notestablished a dividend and does not plan to paying dividends during 2011 to 2015. Its cost of equity capital is 12%.

    What would be Jarrett’s residual income in 2013?
a. $5,200
b. $5,789
c. $24,552
d. $18,763

Business Finance Questions

Problem 3. The following are the monthly rates of return for Madison Cookies and for Sophie Electric during a six-month period. Madison Sophie Month Cookies Electric 1 -0.04 0.07 2 0.06 -0.02 3 -0.07 -0.1 4 0.12 0.15 5 -0.02 -0.06 6 0.05 0.02 Compute the following: a. Average mnthly rate of return Ri for each stock b. Standard deviation of returns for each stock c. Covariance between the rates of return d. The correlation coefficient between the rates of return What level of correlation did you expect? How did your expectations compare with the computed correlation? Would these two stocks be good choices for diversification? Why or Why not? ————————————————————— The following are monthly percentage price changes for four market indexes. Month DJIA S&P 500 Russell 2000 Nikkei 1 0.03 0.02 0.04 4.00 2 9.07 0.06 0.10 (0.02) 3 (0.02) (0.01) (0.04) 0.07 4 0.01 0.03 0.03 0.02 5 0.05 0.04 0.11 0.02 6 (0.06) (0.04) (0.08) 0.06 Compute the following: a. Average monthly rate of return for each index. b. Standard deviation for each index c. Covariance between the rates of return for the following indexes: DJIA – S&P500 S&P 500 – Russell 2000 S&P 500 – Nikkei Russell 2000 – Nikkei d. The correlation coefficients for the same four combinations e. Using the answers from parts (a), (b), and (d), calculate the expected return and standard deviation of a portfolio consisting of equal parts of: (1) the S&P and the Russell 2000, and (2) the S&P and the Nikkei. Discuss the two portfolios. —————————————————————– The standard deviation of Shamrock Corp. stock is 19 percent. The standard deviation of Cara Co. stock is 14 percent. The covariance between these two stocks is 100. What is the correlation between Shamrock and Cara Stock?