rkapoor

I see big confusion here. Let's make it clear. Perpetuity starts at the end of the 4 year, but we have to discount with N = 3 because perpetuity formula would find value ot the perpetuity at the end of year 3. This is the same as with simplest perpetuity, which starts at the end of first year and we find the value of perpetuity at the time 0 by using perpetuity formula. And time 0 is one period earlier than the end of 1 year (when perpetuity starts). This is crucial.

bluejazzy

i think i get this now. thanks very much to the people who contributed

shootingstar

optiix Wrote:
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> I see big confusion here. Let's make it clear.
> Perpetuity starts at the end of the 4 year, but we
> have to discount with N = 3 because perpetuity
> formula would find value ot the perpetuity at the
> end of year 3. This is the same as with simplest
> perpetuity, which starts at the end of first year
> and we find the value of perpetuity at the time 0
> by using perpetuity formula. And time 0 is one
> period earlier than the end of 1 year (when
> perpetuity starts). This is crucial.

Actually it starts 4 years from now, meaning at the end of year 3 ( now is year 0)

pogo

optiix Wrote:
-------------------------------------------------------
> I see big confusion here. Let's make it clear.
> Perpetuity starts at the end of the 4 year, but we
> have to discount with N = 3 because perpetuity
> formula would find value ot the perpetuity at the
> end of year 3. This is the same as with simplest
> perpetuity, which starts at the end of first year
> and we find the value of perpetuity at the time 0
> by using perpetuity formula. And time 0 is one
> period earlier than the end of 1 year (when
> perpetuity starts). This is crucial.

Actually it starts 4 years from now, meaning at the end of year 3 ( now is year 0)

thisisbrianly

Here's another way to look at it.

Think of a perpetuity as an "ordinary perpetuity" (like an ordinary annuity). In an OA, there's always a one period offset between the first payment and the PV (i.e. if the first payment occurs in one year's time, the PV is "as of today", and nif it occurs in two year's time, the PV would be "as of year 1).

So, if the first payment occurs in 4 years, the PV of the Perputuity would be as of year 3. Therefore, you discount for 3 periods.