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Carry vs Roll-Down on a zero-coupon IRS


Pricing an interest rate swap using Eurodollar futuresBootstrapping zero-rates from AUD swap ratesWhy Central Bank carry out Qe when they can directly force banks to lower down the interest rate?question regarding carry & roll of a bondInterest Rate Swap Pre-Settlement RiskRoll down Treasury curve (Coupon effects)Carry calculation on an interest rate swapTrading Jargon - Interest Rate Swaps / Bond TradingCarry and Rolldown of a Premium bondTreasury futures cost of carry and P&L






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3












$begingroup$


I am trying to understand the differences between carry vs roll-down on a zero-coupon interest rate swap.



Lets say we have a 10 day ZC IRS, meaning we will only swap once on maturity. We are a payer of the swap.



  • Current 10-day spot rate: 3%

  • Current 9-day spot rate: 2.9%

  • Current Overnight rate: 3.2%

What is the carry on this trade? What is the roll-down?










share|improve this question







New contributor



V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    3












    $begingroup$


    I am trying to understand the differences between carry vs roll-down on a zero-coupon interest rate swap.



    Lets say we have a 10 day ZC IRS, meaning we will only swap once on maturity. We are a payer of the swap.



    • Current 10-day spot rate: 3%

    • Current 9-day spot rate: 2.9%

    • Current Overnight rate: 3.2%

    What is the carry on this trade? What is the roll-down?










    share|improve this question







    New contributor



    V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$
















      3












      3








      3


      1



      $begingroup$


      I am trying to understand the differences between carry vs roll-down on a zero-coupon interest rate swap.



      Lets say we have a 10 day ZC IRS, meaning we will only swap once on maturity. We are a payer of the swap.



      • Current 10-day spot rate: 3%

      • Current 9-day spot rate: 2.9%

      • Current Overnight rate: 3.2%

      What is the carry on this trade? What is the roll-down?










      share|improve this question







      New contributor



      V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      I am trying to understand the differences between carry vs roll-down on a zero-coupon interest rate swap.



      Lets say we have a 10 day ZC IRS, meaning we will only swap once on maturity. We are a payer of the swap.



      • Current 10-day spot rate: 3%

      • Current 9-day spot rate: 2.9%

      • Current Overnight rate: 3.2%

      What is the carry on this trade? What is the roll-down?







      fixed-income interest-rate-swap quantitative






      share|improve this question







      New contributor



      V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share|improve this question







      New contributor



      V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share|improve this question




      share|improve this question






      New contributor



      V281 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      asked 8 hours ago









      V281V281

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          2 Answers
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          4














          $begingroup$

          (This is my opinion; someone is likely to disagee).



          I like to think of the carry as the predictable part (e.g. the coupon that accrues daily) and the rolldown as the stochastic part (the curves moved - maybe the forwards realized, maybe not. A good estimate of what it might turn out to be as to reprice for the next day assuming all forwards are realized.



          I would therefore view a zero-coupon as having all rolldown and no carry.



          You could view the financing cost of the swap as carry.






          share|improve this answer











          $endgroup$






















            0














            $begingroup$

            Most people would say: carry = the 1day p/l resulting from overnight rate being different from coupon = (3.2- 3.0)* 1day accrual. Roll down = p/l on remaining swap assuming spot rates remain the same = (2.9-3.0) * 9 days accrual.






            share|improve this answer









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              2 Answers
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              2 Answers
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              $begingroup$

              (This is my opinion; someone is likely to disagee).



              I like to think of the carry as the predictable part (e.g. the coupon that accrues daily) and the rolldown as the stochastic part (the curves moved - maybe the forwards realized, maybe not. A good estimate of what it might turn out to be as to reprice for the next day assuming all forwards are realized.



              I would therefore view a zero-coupon as having all rolldown and no carry.



              You could view the financing cost of the swap as carry.






              share|improve this answer











              $endgroup$



















                4














                $begingroup$

                (This is my opinion; someone is likely to disagee).



                I like to think of the carry as the predictable part (e.g. the coupon that accrues daily) and the rolldown as the stochastic part (the curves moved - maybe the forwards realized, maybe not. A good estimate of what it might turn out to be as to reprice for the next day assuming all forwards are realized.



                I would therefore view a zero-coupon as having all rolldown and no carry.



                You could view the financing cost of the swap as carry.






                share|improve this answer











                $endgroup$

















                  4














                  4










                  4







                  $begingroup$

                  (This is my opinion; someone is likely to disagee).



                  I like to think of the carry as the predictable part (e.g. the coupon that accrues daily) and the rolldown as the stochastic part (the curves moved - maybe the forwards realized, maybe not. A good estimate of what it might turn out to be as to reprice for the next day assuming all forwards are realized.



                  I would therefore view a zero-coupon as having all rolldown and no carry.



                  You could view the financing cost of the swap as carry.






                  share|improve this answer











                  $endgroup$



                  (This is my opinion; someone is likely to disagee).



                  I like to think of the carry as the predictable part (e.g. the coupon that accrues daily) and the rolldown as the stochastic part (the curves moved - maybe the forwards realized, maybe not. A good estimate of what it might turn out to be as to reprice for the next day assuming all forwards are realized.



                  I would therefore view a zero-coupon as having all rolldown and no carry.



                  You could view the financing cost of the swap as carry.







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited 8 hours ago

























                  answered 8 hours ago









                  Dimitri VulisDimitri Vulis

                  9292 silver badges13 bronze badges




                  9292 silver badges13 bronze badges


























                      0














                      $begingroup$

                      Most people would say: carry = the 1day p/l resulting from overnight rate being different from coupon = (3.2- 3.0)* 1day accrual. Roll down = p/l on remaining swap assuming spot rates remain the same = (2.9-3.0) * 9 days accrual.






                      share|improve this answer









                      $endgroup$



















                        0














                        $begingroup$

                        Most people would say: carry = the 1day p/l resulting from overnight rate being different from coupon = (3.2- 3.0)* 1day accrual. Roll down = p/l on remaining swap assuming spot rates remain the same = (2.9-3.0) * 9 days accrual.






                        share|improve this answer









                        $endgroup$

















                          0














                          0










                          0







                          $begingroup$

                          Most people would say: carry = the 1day p/l resulting from overnight rate being different from coupon = (3.2- 3.0)* 1day accrual. Roll down = p/l on remaining swap assuming spot rates remain the same = (2.9-3.0) * 9 days accrual.






                          share|improve this answer









                          $endgroup$



                          Most people would say: carry = the 1day p/l resulting from overnight rate being different from coupon = (3.2- 3.0)* 1day accrual. Roll down = p/l on remaining swap assuming spot rates remain the same = (2.9-3.0) * 9 days accrual.







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 4 hours ago









                          dm63dm63

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                          8,5581 gold badge9 silver badges35 bronze badges
























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