WFU Law School
Law & Valuation
2.4.2 Valuing Certainty Equivalents

Valuing Certainty Equivalents Example

Example

Pfeifer sues his employer for workplace negligence. He wins an award of $325,000 as compensation for 12.5 years of lost wages ($26,000 per year). The court refuses to take into account inflation and award cost-of-living adjustments, on the theory that "future inflation shall be presumed equal to future interest rates with these factors offsetting."

Is this right? How should a court determine a lump-sum award meant to compensate an employee for a stream of future lost wages?


Answer:

The Supreme Court faced this issue in Jones & Laughline Steel Corp., 462 US 523 (1983). The Court held that two elements determine the calculation of a damages award to a permanently injured employee in an inflation-free economy. The first is the amount that the employee would have earned during each year that he could have been expected to work after the injury, and the second an appropriate discount rate, reflecting the safest available investment.

To summarize, the first stage in calculating an appropriate award for lost earnings involves an estimate of what the lost stream of income would have been. The stream may be approximated as a series of after-tax payments, one in each year of the worker's expected remaining career. In estimating what those payments would have been in an inflation-free economy, the trier of fact may begin with the worker's annual wage at the time of injury. If sufficient proof is offered, the trier of fact may increase that figure to reflect the appropriate influence of individualized factors (such as foreseeable promotions) and societal factors (such as foreseeable productivity growth within the worker's industry).

It has been settled since our decision in Chesapeake & Ohio R. Co. v. Kelly, 241 U.S. 485 (1916), that "in all cases where it is reasonable to suppose that interest may safely be earned upon the amount that is awarded, the ascertained future benefits ought to be discounted in the making up of the award." Id., at 490.

The discount rate should be based on the rate of interest that would be earned on "the best and safest investments." Id., at 491. Once it is assumed that the injured worker would definitely have worked for a specific term of years, he is entitled to a risk-free stream of future income to replace his lost wages; therefore, the discount rate should not reflect the market's premium for investors who are willing to accept some risk of default.

What should the discount rate be?

  • The rates of a set of short-term, medium-term and long-term Treasury securities that correspond with the payment schedule the lump sum replicates? See Thomas R. Ireland, The Pfeifer decision: risk and damage awards: An extended response to Albrecht and Wood 7:3 Journal of Legal Economics 23-34 (1997/1998)
  • Current short-term rates, on the assumption rolling over short-term investments would be the safer way for an investor to protect herself from inflation? See Gary A. Albrecht & John H. Woods, Risk and damage awards: short-term vs. long-term bonds 7:1 Journal of Legal Economics 48-58 (Spring 1997)
  • Current market rates for the employer's debt, on the assumption the employee could only have earned wages if the employer were solvent and market rates reflect inflation and employer uncertainty?

Which approach favors the injured employee? The employer?

2.4.2 Valuing Certainty Equivalents

©2003 Professor Alan R. Palmiter

This page was last updated on: August 4, 2003