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March/June 16 Degnis

SS7y ago
Hi, In the question Degnis, 5b when calculating the PV in perpetuity, why do they then multiply it by the 0.659 (pv rate at year 4. It's doing a pv of a pv? I know that when calculating pv not at t1 there's usually this method. I don't understand it. Please could you help. Thank you
John MoffatJohn MoffatTutor7y ago#1
Using 1/r to discount a perpetuity gives the PV at time 0 when the first flow is in 1 years time. Here, the first flow is in 5 years time (which is 4 years later) and so multiplying by 1/r gives a PV 4 years later as well - i.e. at time 4 instead of time 0. Therefore we have to discount the answer for 4 years to get a PV 'now' i.e. at time 0.
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