A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination

Posted: 4 Dec 2003 Last revised: 15 Feb 2009

Christophe Faugère

Kedge Business School Bordeaux

Julian Van Erlach

Nexxus Wealth Technologies, Inc.

Multiple version iconThere are 2 versions of this paper

Date Written: 2009

Abstract

Stock market valuation and Treasury yield determination are consistent with the Fisher effect (1896) as generalized by Darby (1975) and Feldstein (1976). The U.S. stock market (S&P 500) is priced to yield ex-ante a real after-tax return directly related to real long-term GDP/capita growth (the required yield). Elements of our theory show that: 1) real after-tax Treasury and S&P 500 forward earnings yields are stationary processes around positive means; 2) the stock market is indeed priced as the present value of expected dividends with the proviso that investors are expecting fast mean reversion of the S&P 500 nominal growth opportunities to zero. Moreover, 3) the equity premium is mostly due to business cycle risk and is a direct function of below trend expected productivity, where productivity is measured by the growth in book value of S&P 500 equity per-share. Inflation and fear-based risk premia only have a secondary impact on the premium. The premium is always positive or zero with respect to long-term Treasuries. It may be negative for short-term Treasuries when short-term productivity outpaces medium and long run trends. Consequently: 4) Treasury yields are mostly determined in reference to the required yield and the business cycle risk premium; 5) the yield spread is largely explained by the differential of long-term book value per share growth vs. near term growth, with possible yield curve inversions. Finally, 7) the Fed model is partially validated since both the S&P 500 forward earnings yield and the ten-year Treasury yield are determined by a common factor: the required yield.

Keywords: Required yield, Earnings yield, Equity Premium, S&P 500 Valuation, Fed Model

JEL Classification: G12

Suggested Citation

Faugère, Christophe and Van Erlach, Julian, A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination (2009). Financial Markets, Institutions and Instruments, Vol. 18, No. 1, 2009. Available at SSRN: https://ssrn.com/abstract=1317814 or http://dx.doi.org/10.2139/ssrn.465340

Christophe Faugère (Contact Author)

Kedge Business School Bordeaux ( email )

680 Cours de la Liberation
Bordeaux, Aquitaine 33405
France

Julian Van Erlach

Nexxus Wealth Technologies, Inc. ( email )

1508 Nelson Dr.
Irving, TX 75038
United States
651-558-6242 (Phone)

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