in a PE case, the valuation of a company can be conducted in the same way as for a standard company, that is with:
- Discount Cash Flow. Discount the future cash flow of the company, normally using a perpetuity method.
- Multiples. Consider the average multiple used in equivalent transactions (eg P/E ratio). Then apply the multiple to the relevant variable of the target (eg Net Earnings of the target).
- Computation from asset value – identify the equity value as the fair value of total assets minus net debt.
Obviously, If the company is listed in the stock exchange, the market value is known by definition.
Since in the case you mentioned you have information related to a multiple of the earnings, it is likely you will have to use the second method.