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, (4.5)


KV - total capital investments in the investment project.

Let's notice that in this equation t = 0 corresponds to the termination moment

Buildings. Size h, considered as number of an interval of term Recoupment, it is defined by consecutive summation of members of a number The discounted incomes until the sum equal will be received To volume of investments or exceeding it.

Let's designate the cumulative income at the moment of time m through Sm, then


And, time moment m is chosen in such a manner that

Then the time of recovery of outlay is approximately equal

. (4.6)

It is obvious that on size of a time of recovery of outlay, besides intensity

Receipts of the incomes, essential influence is rendered by used norm

Discounting of incomes. It is natural that the least time of recovery of outlay

Corresponds to absence of discounting of incomes, monotonously increasing on To measure of increase in the rate of percent.

In practice there can be cases, when a time of recovery of outlay of investments

Does not exist (or it is equal to infinity). In the absence of discounting this

The situation arises, only if the time of recovery of outlay is more than reception period

Incomes of industrial activity. At discounting of incomes term Recoupment can not exist simply (to aspire to infinity) at Certain parities between investments, incomes and norm Discounting.

Let's define a time of recovery of outlay of the investment project for a case, when

The stream of payments is a constant.

For this purpose we will put in the formula (4.5) it (t) = P = const.

Then the sum

Is the sum of members of a geometrical progression.

At?, this sum is equal


Obviously, at any final h, Sh
Condition of existence of a total elapsed time of a recoupment h is performance



That is equivalent:

. (4.7)

The inequality (4.7) can be used for an estimation of existence of term

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