Showing posts with label PMT, Perpetuities. Show all posts
Showing posts with label PMT, Perpetuities. Show all posts

Wednesday, January 4, 2012

Perpetuities

In layman word, perpetuities are payment that given forever.

PV = PMT/i

If the periodic payment (PMT) grow by 3% per year due to inflation, the formula will be

PV= PMT/(i-g)

PV= present value

PMT=payment

i = interest rate

g= growth rate


eg: Find the PV of $300 payment for an indefinite time at the interest rate of 10%

PV= 300/ 0.1

NOTE that here we use 0.1 for 10% instead of 10, only when you key in [I/Y] you put 10 for 10%.

If the payment grow by 3% per year due to inflation, calculation will be

PV= 300/(0.1-0.03)

NOTE: 0.03 to indicate 3%