Calculate the expected return on the portfolio after the


Question 1.Both Berkley and Oakley are large public corporations with subsidiaries throughout the world.   Berkley  uses a centralized approach and  makes most of the decisions for its subsidiaries.  Oakley  uses a decentralized approach and its subsidiaries make many of their own decisions.  

a.  Would the agency problem be more pronounced for Berkley or for Oakley?  Explain. 

b.  Would agency costs likely be higher for Berkley or Oakley?  Why?

c.  Discuss a major advantage and a major disadvantage to a centralized approach such as Berkley uses. 

d.  Discuss a major advantage and a major disadvantage to a centralized approach such as Oakley uses.   

e.  Which is better, a centralized or decentralized approach?  Explain.

 

Question 2. Assume the firm's stock now sells for $30 per share.  The company wants to raise $20 million by issuing 20-year, annual interest, $1,000 par value bonds.  Each bond will have 40 warrants attached, each exercisable into 1 share of stock at an exercise price of $36.  The firms straight bonds yield 8%.   Each warrant is expected to have a market value of $0.75 when the stock sells at $30.     The company wants to establish a coupon interest rate and dollar coupon to ensure that the bonds will clear the market.    

a.  Calculate the value of the debt portion of the bonds with warrants.

Stock price $30

Bonds-life and par value 20

Par value $1,000

# of warrants per bond 40

Exercise price $36

Warrant market value @ P=$30) $0.75

Yield on straight bonds 8%

b.  Calculate the dollar coupon amount per bond with warrants.

c.  Calculate the coupon interest rate that should be set on the bonds with warrants.

d.  Identify 2 or 3 advantages to the company of issuing a bond with warrants instead of straight bonds.

e.  Identify 2 or 3 advantages to the investor of buying a bond with warrants instead of straight bonds.

 

Question 3.  Mantra Corporation is interested in acquiring Corlos Corporation.   Corlos has 10 million shares outstanding and a target capital structure consisting of 30 percent debt and 70 percent equity.  The debt interest rate is 8%.  Assume that the risk-free rate of interest is  3% and the market risk premium is 7%. Corlos' free cash flow (FCF0) is $5 million per year and is expected to grow at a constant rate of 6 percent a year; its beta is 1.2.  Corlos has $5 million in debt.   The tax rate for both companies is 30%.

Shares outstanding 10,000,000   FCF0 5,000,000
Target debt in capital structure 30%   Constant growth rate 6%
Debt interest rate 8%   Beta 1.2
rRF 3%   Amount of debt 5,000,000
Market risk premium 7%      
Tax rate 30%      
a.  Calculate the required rate of return on equity using equation: rs= rRF + RPM(b)  

 

 

b.  Calculate weighted average cost of capital, using equation: WACC = Wdrd(1-%) + wsrs

 

c.  Calculate the value of operations, using equation: Vops = FCF0(1+g)/WACC - g)

 

d.  Calculate the value of the company's equity, using equation: Vs = Vops - debt  

e.  Calculate the current value of the company's stock.

 

 

 

Question 4: A Treasury bond futures contract settled at 97'16.

a. Calculate the present value of one futures contract?

b. Are current market interest rates higher or lower than the standardized rate on a futures contract? Explain.

c. Calculate the implied annual interest rate on the futures contract.

d. Calculate the new value of the futures contract if interest rates increase by 1 percentage point annually.

e. Why do companies enter into futures contracts? Provide a specific example.

 

Question 5.  Corizon Company's balance sheet and income statement are shown below (in millions of dollars).   Corizon and its creditors have agreed upon a voluntary reorganization plan.  In this plan, each share of the $5 preferred  will be exchanged for one share of $2.00 preferred with a par value of $50 plus one 10% subordinated  income debenture with a par value of $50.  The $8 preferred issue will be retired with cash.  The company's tax rate is  30%.

         
Balance Sheet prior to Reorganization (in millions)
Current Assets            200    Current liabilities          175
Net fixed assets            225    Advance payments            10
         $5 preferred stock, $100 par value (1,000,000) shares          100
       $8 preferred stock, no par, callable at 100 (80,000 shares)              8
       Common stock, $1.00 par value (5,000,000) shares            25
       Retained earnings          107
Total assets            425    Total claims          425

 

a.  Construct the pro forma balance sheet after reorganization takes place.  Show the new preferred at its par value.

b.  Construct the pro forma income statement after reorganization takes place.   How does the recapitalization affect net income available to common stockholders?

Income Statement (in millions)  
Prior to Reorganization After Reorganization
Net sales        700.0      
Operating expense        630.0      
  Net operating income           70.0      
Other income             7.0      
         
         
  EBT           77.0      
Taxes           23.1      
Net income           53.9        
Dividends on $5 PS             5.0      
Dividends on $8 PS             0.6      
Income to Common SHs           48.3      

c.    Calculate the required pre-tax earnings before and after the recapitalization?

d.  Calculate the debt ratio before and after the reorganization?  

e.  Would the common stockholders be in favor of the reorganization?  Why or why not?


Question 6. Your portfolio is diversified.  It  has an expected return of 10.0% and a beta of 1.10.  You want  to add 500 shares of Tundra Corporation at $30 a share to your portfolio.  Tundra has an expected return of 14.0% and a beta of 1.30.  The total value of your current portfolio is $50,000.  
a.  Calculate the expected return on the portfolio after the purchase of the Tundra stock?
b.  Calculate the expected beta on the portfolio after you add the new stock?
c.  Is your portfolio  less risky or more risky than average?  Explain.
d.  Will your portfolio likely outperform or underperform the market in a period when stocks are rapidly falling in value?  Explain.
e.   Is beta always an accurate predictor of a portfolio's performance?  Explain?

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