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   Fixed Income- Bond
   Pricing
   Topic Weight: 12%




© Pristine
This Presentation has been prepared to provide general information about the
Company to whom it is addressed. This Presentation does not purport to contain all
the information. The information provided in this presentation is meant only for
the recipient and is not to be shared with anyone else.
Bond Valuation

                                               C1         C2         C3            C  Face Value
          Value of a Bond                                                ...... N
                                          (1  YTM)1 (1  YTM)2 (1  YTM)3          (1  YTM)N

                     Par Bond                                   Premium Bond                                      Discount Bond
         Price of the Bond = Face                    Price of the Bond > Face                          Price of the Bond < Face
            Value of the Bond                           Value of the Bond                                 Value of the Bond
       Coupon=Yield to Maturity                     Coupon>Yield to Maturity                          Coupon<Yield to Maturity
               (YTM)                                        (YTM)                                             (YTM)
                                                     Price declines to the Face                     Price rises to the Face Value
       Price doesn’t change with
                                                     Value with the passage of                       with the passage of time
                 time
                                                                time
                                                  $150                                              $110
$140             Par Bond                         $140
                                                         Premium Bond                                             Discount Bond
                                                                                                    $100
$120                                              $130
                                                                                                     $90
                                                  $120
$100
                                                                                                     $80
                                                  $110
 $80                                                                                                 $70
                                                  $100
 $60                                               $90                                               $60
       FY 0   FY 2   FY 4   FY 6   FY 8   FY 10          FY 0   FY 2   FY 4   FY 6   FY 8   FY 10          FY 0   FY 2   FY 4   FY 6   FY 8   FY 10


Pristine      www.edupristine.com                                                                                                                2
Concept Checker
        Consider a 5 year vanilla bond with a face value of $1000 and 10% annually paid
       coupon. Calculate its price if the interest rates are 9%, 10%, and 11%.
       A. $ 1038, $1000 and $963 respectively
       B. $ 1026, $1000 and $983 respectively
       C. $ 1038, $1000 and $983 respectively




Pristine   www.edupristine.com                                                             3
Answer
       A

              Time               Cash flow      PV @11%            PV @ 10%            PV @ 9%
               T=1                 100            90.09                90.91              91.74
               T=2                 100            81.16                82.64              84.17
               T=3                 100            73.12                75.13              77.22
               T=4                 100            65.87                68.30              70.84
               T=5                 1100           652.80              683.01             714.92
              Total                              $963.04             $1,000           $ 1,038.90
                                             Bond trading at a   Bond trading at   Bond trading at a
                                                Discount              Par             Premium




Pristine   www.edupristine.com                                                                         4

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CFA Fixed Income

  • 1. www.edupristine.com Fixed Income- Bond Pricing Topic Weight: 12% © Pristine This Presentation has been prepared to provide general information about the Company to whom it is addressed. This Presentation does not purport to contain all the information. The information provided in this presentation is meant only for the recipient and is not to be shared with anyone else.
  • 2. Bond Valuation C1 C2 C3 C  Face Value Value of a Bond     ...... N (1  YTM)1 (1  YTM)2 (1  YTM)3 (1  YTM)N Par Bond Premium Bond Discount Bond Price of the Bond = Face Price of the Bond > Face Price of the Bond < Face Value of the Bond Value of the Bond Value of the Bond Coupon=Yield to Maturity Coupon>Yield to Maturity Coupon<Yield to Maturity (YTM) (YTM) (YTM) Price declines to the Face Price rises to the Face Value Price doesn’t change with Value with the passage of with the passage of time time time $150 $110 $140 Par Bond $140 Premium Bond Discount Bond $100 $120 $130 $90 $120 $100 $80 $110 $80 $70 $100 $60 $90 $60 FY 0 FY 2 FY 4 FY 6 FY 8 FY 10 FY 0 FY 2 FY 4 FY 6 FY 8 FY 10 FY 0 FY 2 FY 4 FY 6 FY 8 FY 10 Pristine www.edupristine.com 2
  • 3. Concept Checker  Consider a 5 year vanilla bond with a face value of $1000 and 10% annually paid coupon. Calculate its price if the interest rates are 9%, 10%, and 11%. A. $ 1038, $1000 and $963 respectively B. $ 1026, $1000 and $983 respectively C. $ 1038, $1000 and $983 respectively Pristine www.edupristine.com 3
  • 4. Answer A Time Cash flow PV @11% PV @ 10% PV @ 9% T=1 100 90.09 90.91 91.74 T=2 100 81.16 82.64 84.17 T=3 100 73.12 75.13 77.22 T=4 100 65.87 68.30 70.84 T=5 1100 652.80 683.01 714.92 Total $963.04 $1,000 $ 1,038.90 Bond trading at a Bond trading at Bond trading at a Discount Par Premium Pristine www.edupristine.com 4