Wednesday 29 April 2015

Future Perpetuity

Future Perpetuity


Perpetuity start at some future date is known future perpetuity.

Future perpetuity example

Mr. was offered perpetuity of $ 12,000, however, the payment start after 5 years. The rate of interest in the country is 13%. Calculate the present value?

Solution

1.       Calculate the present value at end of year 4

= $12,000/.13
= $ 92,307

2.       Calculate the present value at year Zero (now)

= $ 92,307 x (1.13)-4
= $ 92,307 x .6133
= $ 56,613



Tip of future Perpetuity: - if perpetuity starts at future date the present value is calculated on year before for example in above example perpetuity start at year 5 but present value is calculated at year end 4.