Perpetuity

A perpetuity is an annuity in which the periodic payments begin on a fixed date and continue indefinitely.

The present value equals the periodic payment divided by the difference between the interest rate and the periodic payment growth rate.

Formula

QuantityVariable["PV", "Money"] == QuantityVariable["PMT", "Money"]/(-QuantityVariable["g", "Unitless"] + QuantityVariable["i", "Unitless"])

symbol	description	physical quantity
PV	present value	"Money"
g	periodic payment growth rate	"Unitless"
i	interest rate	"Unitless"
PMT	periodic payment	"Money"

Get the resource:

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Out[1]=

Get the formula:

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Out[2]=

Use some values:

In[3]:=

Out[3]=