The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.
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Swaps: Plain and Fanciful
Published: 07/01/1992 | DOI: 10.1111/j.1540-6261.1992.tb03996.x
ROBERT H. LITZENBERGER
The outstanding face amount of plain vanilla interest rate swaps exceeds two trillion dollars. While pricing and hedging of such swaps appear to be quite simple, many existing theories are based on the incorrect characterization of a swap as a simple exchange of a fixed for a floating rate note. This characterization is not consistent with standarized swap contracts and the treatment of swaps in bankruptcy. This paper provides an alternative perspective on swaps.
THE STRONG CASE FOR THE GENERALIZED LOGARITHMIC UTILITY MODEL AS THE PREMIER MODEL OF FINANCIAL MARKETS
Published: 05/01/1976 | DOI: 10.1111/j.1540-6261.1976.tb01906.x
Robert Litzenberger, Mark Rubinstein
This paper begins by comparing the available well‐developed micro‐economic models in finance which recognize uncertainty. It is argued that models whose distinctive simplifying assumption restricts utility functions are superior to those which instead restrict probability distributions, both with respect to the realism of their assumptions and richness of their conclusions. In particular, the most successful model, based on generalized logarithmic utility (GLUM), is a multiperiod consumption/portfolio and equilibrium model in discrete‐time which (1) requires decreasing absolute risk aversion; (2) tolerates increasing, constant, or decreasing proportional risk aversion; (3) assumes no exogenous specification of the contemporaneous or intertemporal stochastic process of security prices; (4) tolerates heterogeneity with respect to wealth, lifetime, time‐and risk‐preference and beliefs; (5) results in a complete specification of consumption/portfolio decision and sharing rules which include nontrivial multiperiod separation properties and explains demand for default‐free bonds of various maturities and options; (6) leads to a solution to the aggregation problem; (7) results in a complete specification of the contemporaneous and intertemporal process of security prices which reveals necessary and sufficient conditions for an unbiased term structure and the market portfolio to follow a random walk as a natural outcome of equilibrium; (8) provides an empirically testable aggregate consumption function relating per capita consumption to per capita wealth and the present value of a perpetual default‐free annuity which does not require inferences of ex ante beliefs from ex post data; (9) provides a nontrivial multiperiod extension of popular single‐period security valuation models which is empirically testable; (10) yields a simple multiperiod valuation formula for an uncertain income stream even when this income is serially correlated over time.
On the Distributional Conditions for a Consumption‐oriented Three Moment CAPM
Published: 12/01/1983 | DOI: 10.1111/j.1540-6261.1983.tb03830.x
ALAN KRAUS, ROBERT LITZENBERGER
In this paper, we develop sufficient conditions on probability distributions for a three moment (mean, variance, and skewness) consumption‐oriented capital asset pricing model (CAPM) to price correctly a subset of assets. The assumptions that individuals in an allocationally efficient capital market have identical probability beliefs and monotone increasing strictly concave utility functions displaying nonincreasing absolute risk aversion imply an aggregate preference function that exhibits preference for expected return, aversion to variance of return, and preference for positive skewness. For otherwise arbitrary preferences, we show that quadratic characteristic lines are sufficient for a subset of assets to be priced according to a three moment consumption‐oriented CAPM.
An International Study of Tax Effects on Government Bonds
Published: 03/01/1984 | DOI: 10.1111/j.1540-6261.1984.tb03857.x
ROBERT H. LITZENBERGER, JACQUES ROLFO
It is shown that coupon bonds alone are not sufficient to span time‐dated claims on ordinary income, capital gains, and non‐taxable wealth. In an incomplete bond market where the pure dated claims are not spanned by existing bonds, marginal rates of substitution between present consumption and pure dated claims on ordinary income, capital gains income, and non‐taxable wealth, respectively, can differ across bondholders. However, the relative pricing of coupon bonds in each of these countries is shown to be consistent with the tax status of the major (non‐tax‐exempt) holders of government debt.
Backwardation in Oil Futures Markets: Theory and Empirical Evidence
Published: 12/01/1995 | DOI: 10.1111/j.1540-6261.1995.tb05187.x
ROBERT H. LITZENBERGER, NIR RABINOWITZ
Oil futures prices are often below spot prices. This phenomenon, known as strong backwardation, is inconsistent with Hotelling's theory under certainty that the net price of an exhaustible resource rises over time at the rate of interest. We introduce uncertainty and characterize oil wells as call options. We show that (1) production occurs only if discounted futures are below spot prices, (2) production is non‐increasing in the riskiness of future prices, and (3) strong backwardation emerges if the riskiness of future prices is sufficiently high. The empirical analysis indicates that U.S. oil production is inversely related and backwardation is directly related to implied volatility.
A Utility‐Based Model of Common Stock Price Movements
Published: 03/01/1986 | DOI: 10.1111/j.1540-6261.1986.tb04492.x
ROBERT H. LITZENBERGER, EHUD I. RONN
This paper develops and tests a nonlinear utility‐based econometric model of the temporal behavior of aggregate stock price movements based on a constant relative risk aversion utility function and an observable information set consisting of aggregate consumption, aggregate dividends, and past stock prices. The stochastic process derived from time‐series analyses of consumption and dividends measured over annual intervals is used to derive and empirically test a closed‐form solution for stock‐price movements. The endogenization of discount rate changes in the utility‐based model is shown to be more consistent with aggregate stock price movements over a twenty‐year holdout period than constant discount rate models. The model is also used to estimate the representative investor's relative risk aversion. The estimate of 4.22 is consistent with that used by Grossman and Shiller in their perfect foresight model and is significantly higher than the relative risk aversion of 1.0 implied by logarithmic utility.
DISCUSSION
Published: 05/01/1975 | DOI: 10.1111/j.1540-6261.1975.tb01835.x
Keith V. Smith, Robert H. Litzenberger