CHAPTER 18 PROBLEMS

FINANCE  Investment Analysis and Portfolio Management CHAPTER 18 PROBLEMS
   1 Four years ago  your firm issued $1,000 par, 25-year bonds, with a 7 percent coupon rate   and a      10 percent call premium.   
      a. lf these bonds are now called, what is the approximate yield to call for the investors who   originally purchased them?  
       b.   If   these   bonds   are   now   called,   what   is   the   actual   yield   to   call   for   the   investors   who   originally purchased them at par? 
        c If the current interest rate is 5 percent and the bonds were not callable, at what price   would each bond sell?



2. Assume that you purchased an 8 percent, 20-year,$1,000 par, semiannual payment bond   priced at $l,012.50 when it has 12 years remaining until maturity. Compute  : 
 a. Its promised yield to maturity       
  b. Its yield to call if the bond is callable in three years with an 8 percent premium. 




3. Calculate the duration of an 8 percent, $1,000 par bond that matures in three years if the   bond's         YTM is 10 percent and interest is paid semiannually.  
       a. Calculate this bond's modified duration.      
   b. Assuming the bond's YTM goes from 10 percent to 9.5 percent calculate an estimate of   the price change.   


4.     Two   years   ago,   you   acquired   a   10-year   zero   coupon,$   1,000   par   value   bond   at   a   12   percent   YTM   Recently   you   sold   this   bond   at   an   8   percent   YTM.   Using   semiannual   compounding, compute the annualized horizon return for this investment.  

5. A bond for the Chelle Corporation has the following characteristics  :
     Maturity--12 years   
Coupon--10%
 Yield to maturity--9.50%  
 Macaulay duration--5.7 years
 Convexity--48 
 Noncallable 
  a. Calculate the approximate price change for this bond using only its duration assuming its   yield   to   maturity   increased   by   150   basis   points.   Discuss   the   impact   of   the   calculation   including the convexity effect. 
  b. Calculate the approximate price change for this bond (using only its duration) if its yield   to maturity declined by 300 basis points. Discuss (without calculations) what would happen   to your estimate     of the price change if this was a callable bond.


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