Pricing and Valuing Interest Rate Swap ...
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Public company valuations are based on liquid share exchange, while private company valuations adjust for control and limited share exchange. The highest value comes from a strategic buyer with synergy potential and a willingness to assume execution risk. Financial buyers may pay a premium for control but may lack synergy or expertise. Marketable non-controlling equity matches public market prices. Discounts for control and marketability are discussed further, with variations based on context, data comparability, shareholding size, legal factors, and more. Timing matters, as private companies eyeing IPOs or strategic sales have lower discounts, while those without dividends or liquidity prospects have higher ones. Control and/or marketability adjustments are often included in valuations of interests in private companies.
The discount for lack of control is a reduction in a company’s share value as a result of a shareholder being unable to exercise his or her control over the company. This is necessary for valuing non-controlling equity interests in private companies if the value of total equity was developed on a controlling interest basis.
For a private company, the discount is higher when the company has not paid dividends and has no probability of going public. On the other hand, the discount is lower when a private company is seeking an IPO and when it is a strategic sale.
$$\text{DLOC}=1-\bigg[\frac{1}{1+\text{Control premium}}\bigg]$$
If the control premium is 15%, then:
$$\text{DLOC}=1-\bigg[\frac{1}{1.15}\bigg]=13\%$$
The application of DLOC varies:
A discount for lack of marketability is the percentage deducted from the value of an ownership interest to reflect the relative absence of a ready market for a company's shares compared with publicly traded companies. It is applied to the valuation of noncontrolling equity interests in private companies.
Factors that Increase DLOM
Factors that Decrease DLOM
The value of equity interest is then calculated as:
$$\begin{align*}\text{Estimated value of equity interest}&=\text{Pro rata value of equity interest}\\& \times(1-\text{Control discount})\\&\times(1-\text{Marketability discount})\end{align*}$$
Given a DLOC of 15% and DLOM of 11%:
$$\begin{align*}\text{Total discount}&=1-[(1-\text{DLOC})(1-\text{DLOM})]\\&=1-[(1-0.15)(1-0.11)] \\&= 0.243 \\&= 24.3\%\end{align*}$$
Question
For a company with a discount for lack control is 8% and a discount for lack of marketability of 9%, the total discount is closest to:
- 16.28%.
- 17%.
- 17.14%
Solution
The correct answer is A.
$$\begin{align*}\text{Total discount}&=1-(1-0.08)(1-0.09)\\&=0.1628\\&=16.28\%\end{align*}$$
Reading 27: Private Company Valuation
LOS 27 (f) Explain and evaluate the effects on private company valuations of discounts and premiums based on control and marketability.