CFA CFA Level 1 Fixed Income — Par curve algebra

Fixed Income — Par curve algebra

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      It took me two hours when I was studying l1 to figure this out 🙂

    • Avatar of LeChiffreLeChiffre
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        • CFA Level 2
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        Wouldn’t you use the calculator’s TVM functions to get to [PMT] –> [CPT]? No need to know how to do algebra.

      • Avatar of bjw699bjw699
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          • CFA Level 2
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          If the Z terms are not the same, the TVM functions won’t help you since they only allow for 1 discount rate.  You need to set up the equation in terms of each period’s discount rate.

        • Avatar of bjw699bjw699
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            • CFA Level 2
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            Prash, you can’t use the TVM functions of an HP12C for problems with more than one discount rate.

          • Avatar of PrashantadobePrashantadobe
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              you can use tvm function

            • Avatar of bjw699bjw699
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                • CFA Level 2
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                OK. I figured it out. I was right it was silly and easy. Use the distributive property. All the PMT/(1+Z) terms can be rewritten as PMT x (1/1+Z1) + PMT x (1/(1+Z2)^2) + … PMT x (1/(1+ZN)^N + 100 x (1/(1+ZN)^N. All the 1/1+Z terms can be grouped so you get PMT ((1/1+Z1) + (1/(1+Z2)^2 + etc.) + 100 x (1/(1+ZN)^N = 100. The last term is the face value discounted for N periods. Solve all the 1/Z terms and the 100/(1+ZN)^N. So you get PMT = (100 – (100/(1+ZN)^N))/(the sum of all the 1/1+Z terms)

                Sorry if I wasted anyone’s time.

              • Avatar of rsparksrsparks
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                  • CFA Level 2
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                  haha. yeah, the CFAI is great at letting you figure out how a formula operates. I watched a number of youtube videos. It was really helpful learning how to use the calculator for SD calcs and others! I remember seeing geometric mean the first time and not knowing how to calculate with my calculator. Seems silly, but we have all been there in one formula or another. 

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