CFA CFA General calculating periodicity

calculating periodicity

  • Author
    Posts
    • Avatar of mitch895mitch895
      Participant
        • CFA Charterholder
        Up
        12
        ::

        Hi all,

        A (hopefully) really simple question. I’m trying to convert yields from one period to another using the BA11 Plus. I.e., converting say a 10% p.a. rate into a quarterly or monthly rate. I’m sure there is some really easy and obvious solution to this, but I’m not overly familiar with the calculator (yet).

        Any words of wisdom are much appreciated!

        Cheers

      • Avatar of hairyfairyhairyfairy
        Participant
          • Undecided
          Up
          6
          ::

          Wouldn’t it be (10%)^(1/4) for quarterly, and (10%)^(1/12) for monthly?

        • Avatar of hairyfairyhairyfairy
          Participant
            • Undecided
            Up
            3
            ::

            @vincentt oh yeah that’s right, 1.1 instead of 0.1. My noob mistake. 😀

          • Avatar of mitch895mitch895
            Participant
              • CFA Charterholder
              Up
              3
              ::

              Thanks guys.

              It’s the compounded rate I’m looking for, so the r^periods works well!

              Cheers!

            • Avatar of vincenttvincentt
              Participant
                • CFA Level 3
                Up
                1
                ::

                If not mistaken I think it depends on whether they wanted a simple or compounded rate.

                Based on 10%.

                Simple Rate:
                Quarterly
                10% * 0.25 = 2.5%

                Monthly
                10% / 12 months = 0.833%

                Compounded Rate:
                Quarterly (3 months / 12 months in a year = 0.25)
                1.1 ^ 0.25 –> in your BA II Plus type in 1.1 -> y^x (the button above the number 9) -> 0.25

                you’ll get 1.0241 which translate to 2.41%

                Monthly

                1.1 ^ 0.0833 ( 1/ 12 = 0.0833)
                = 1.00797
                or 0.8%

                For compounded rate it’s slightly more complicated because you can’t just use 10 ^ 0.25 you would need to use 1.1 instead (something like 2% = 1.02).

              • Avatar of vincenttvincentt
                Participant
                  • CFA Level 3
                  Up
                  0
                  ::

                  @hairyfairy haha no worries I sometimes just write 10% as I’m too lazy to write 1 + rate or 1 + 10% so 10% is sort of understandable when it comes to power or root 😛

              Viewing 5 reply threads
              • You must be logged in to reply to this topic.