We can find out the the revaluation gain that need to be reported at the year end by just deducting the the cost of the investment by its current fair value .
DATA
Fair value = 588,000
Cost = 542,000
Revaluation gain = Current fair value - Cost
Revaluation gain = 588,000 - 542,000
Revaluation gain = $46,000
The revaluation gain of $46,000 will be reported in other compreensive income of smith's financial statements.
In this method, the initial investment is subtracted from the discounted present value cash inflows. If the amount comes in positive than the project is beneficial for the company otherwise not.
And, the internal rate of return is that return in which the Net present value come zero.
The average rate of return shows a ratio between the average net profit and the average investment.
In mathematically,
Net present value = Present value of all yearly cash inflows after applying discount factor - initial investment