s bar n

Discussion in 'CT1' started by sfischer, Jul 4, 2013.

  1. sfischer

    sfischer Member

    In chapters 3 and 5 we looked at payment streams - continuous payments and force of interest - continuously paid interest. I believe I get the concepts separately but can't see how they work together. As I understand it "a bar n" and "s bar n" are constant payment streams with constant forces of interest - is that right?
     
  2. Calum

    Calum Member

    Sounds right. It might help to think about a time interval between t and t+dt. At t, you have an amount; at t+dt you have that amount, plus continuously compunded interest, plus the continuous payment received during the interval.
     
  3. John Lee

    John Lee ActEd Tutor Staff Member

    Spot on.

    So they are special cases of the general PV and AV rules in Chapter 5 for payment streams.
     
  4. sfischer

    sfischer Member

    Got it - thanks.
     
  5. Jammy

    Jammy Member

    clarity of concept

    Could someone explain how we arrived at the first line on page 11 of chapter 6?
     

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