Suppose that a company expects its annual profits t years from now to be accruing at a rate of f(t) dollars per year and that interest is considered to be compounded continuously. Then the present value of all future profits is the limit to infinity of the present value of the profit stream.
Find the present value of all future profits if the prevailing interest rate is 5% and profit accrues at a continuous rate of 24e−05t million dollars per year.

Question

Suppose that a company expects its annual profits t years from now to be accruing at a rate of f(t) dollars per year and that interest is considered to be compounded continuously. Then the present value of all future profits is the limit to infinity of the present value of the profit stream.
Find the present value of all future profits if the prevailing interest rate is 5% and profit accrues at a continuous rate of 24e−05t million dollars per year.