# How Elements of Control Affect Value

We've all heard the phrase that the "whole is greater than the sum of its parts." But you might not know that the same theory can apply in the valuation of interests in a business.

## Control is Valuable

When a publicly traded business is acquired in the whole by an outside buyer, it is often purchased for a greater value on a per share basis than the market value of individual shares. Of course, part of that difference could be traced to the synergistic value between the buyer and the seller. However, it is also due, at least partially, to the fact that the publicly traded shares are all minority interests in the company. This lack of control results in a diminution of the value of the shares.

Consider the example of a private company with five equal shareholders owning 20 percent each. If we were to add the value of each of the 20 percent interests together, they would not equal a 100 percent value of the equity of the company. Why? Because each interest, standing alone, isn't a controlling interest.

Once again, this lack of control means that the interest is less valuable than an interest where you could exercise control. For example, with a controlling interest, you can set compensation, determine dividends or other distributions, and affect many other actions that a minority shareholder can't control. Minority interests in a private company also might be subject to discounts for lack of marketability, because they cannot be readily sold in the marketplace.

## Would You Pay More Than an Interest's Pro Rata Share of the Entire Business?

Now suppose that there is one 60 percent owner and four other owners with 10 percent each. You might be inclined to say that the combined values of these five interests should equal 100 percent of the equity value of the company. However, this would require that the 60 percent owner to pay more than the interest's pro rata share of the entire business's fair market value on a controlling basis. In other words, the owner would pay a premium to control the business.

Suppose the fair market value of this private business on a controlling basis is \$1 million. Each 10 percent owner's interest would be worth \$100,000 on a controlling basis (10 percent of \$1 million). The 60 percent owner's interest would be worth \$600,000 on a controlling basis (60 percent of \$1 million). However, the 10 percent owners would recognize that they lack control and discount their interests accordingly. They might also expect an additional discount, because their interests can't be readily converted in cash (commonly referred to as a discount for lack of marketability).

For illustrative purposes, let's assume that the 10 percent interests warrant a combined discount of 30 percent for lack of control and marketability. That would mean their interests are each worth \$70,000 on a minority, nonmarketable basis.

Here, the parts, combined, would only be worth \$880,000 (4 times \$70,000 equals \$280,000 plus \$600,000). As this example shows, the sum of the parts is significantly lower than the value of the entire business on a controlling basis (\$1 million).

A 100 percent shareholder could pay \$1 million for a 100 percent interest and possess the same control privileges as — if not more than — the 60 percent control owner. So, the 60 percent isn't likely to pay more than \$600,000 for a 60 percent interest, unless it's a strategic buyer.

## Simple Logic

As this simple example show, the whole can often be greater than the sum of its parts when estimating fair market value. In the world of business valuation, this logic makes perfect sense.