WFU Law School
Law & Valuation
2.5.1 CAPM Basics

CAPM Equation - Security Market Line Example

Example

Tad's Enterprises ran 6 steakhouses in the NY area. It also owned an algae production and marketing company, as well as a geothermal power production company. In short, the company's managers had no idea what they wanted to be.

In 1987 Tad's sold its steakhouses for $9.75 million and then took the remaining businesses private -- that is, it cashed out the company's public shareholders and the majority insiders retained a controlling interest of the reduced company. In the transaction, public shareholders received $13.25 per share.

The Ryan brothers, owners of 5.5% of Tad's shares, dissented from the transaction and sought an appraisal of their shares. They later amended their complaint to add claims that the Tad board breached its fiduciary duties in approving the two-step transaction.

The court agreed: the majority shareholders breached their duties in selling the 6 steakhouses and taking the other assets private. The court decided:

  • the sale of the steakhouses unfairly provided for $2 million in consulting and non-compete fees to the majority shareholders, who were unlikely to either consult or compete
  • the board's valuation improperly withheld tax and indemnification reserves
  • the board undervalued one of the company's subsidiaries

Ultimately, the court rejected the palintiff's argument to rescind the transaction as a fiduciary breach since the plaintiffs' had sat on their claim. Instead, the question became one of fair value in the appraisal -- what would the plaintiffs have received if the transactions had been consummated at a fair price? Review Ryan v. Tad's Enterprises, Inc [full version] (Ch. Del. 1996).

In particular, consider how the court determined the value of Tad's algae marketing business (Cell Tech), see Cell Tech valuation (excerpts from opinion) --

Issue
Questions
Valuation methods
  • How did Tad's board set cash-out price (historical investment costs in Cell Tech) ?
  • How did plaintiff argue the court should look at subsequent transactions (the offer for Cell Tech four months after the cash-out and then its sale two years later) ?
  • What valuation method did court choose for Cell Tech? Why not rescissory damages?
DCF method
  • how did the court determine the expected returns?
    • whose return / net cash flow figures did the court accept?
    • what did the plaintiff assume in its computation of terminal value?
  • why did the court accept the defendant's discount rate?
    • what was this rate based on?
    • how did the defendant use the CAPM?
  • how did the court's DCF methodology contradict itself?
Alternative computations
  • What would be the result if the court had accepted (1) the plaintiff's expected returns and the defendant's discount rate? (2) the defendant's expected returns and the plaintiff's discount rate?
  • Why did the court mix and match --the plaintiff's expected returns with the defendant's discount rate? Is this approach inherently contradictory?
  • How much would the valuation have been if the court had been consistent in using plaintiff's returns and defendant's discount rate? Why didn't the parties call the court on its discrepancy?
Prejudgment interest
  • What were the parties' arguments
  • How did the Court handle this?

The plaintiffs would have received $418,700 in the merger. They received $753,976 (plus prejudgment interest) in their court challenge. Did they win?

2.5.1 CAPM Basics

©2003 Professor Alan R. Palmiter

This page was last updated on: March 16, 2004