Holding gains implied by alternative stochastic processes

Abstract This article applies the methods of continuous time stochastic calculus to the problem of estimating realizable holding gains. Unlike earlier studies, which are based exclusively on numerical methods, the stochastic calculus approach is characterized by a set of parameters which specify the distributional properties of the realizable holding gain. This provides information on the reliability or otherwise of a given estimating technique. It also overcomes a major limitation of numerically based methods, namely, their inability to provide information on the magnitude of possible errors.

[1]  E. Edwards,et al.  The Theory and Measurement of Business Income , 1961 .

[2]  G. Whittington,et al.  The debate on inflation accounting , 1985 .

[3]  Yuji Ijiri,et al.  The Linear Aggregation Coefficient as the Dual of the Linear Correlation Coefficient , 1968 .

[4]  General Price-level Adjustment: Some Properties of the Edwards and Bell Method , 1988 .

[5]  A. Hodgson,et al.  THE INFLATION ADJUSTMENT OF CORPORATE ACCOUNTS: THE CASE OF MONETARY ITEMS , 1984 .

[6]  Curtis F. Gerald Applied numerical analysis , 1970 .

[7]  H. D. Miller,et al.  The Theory Of Stochastic Processes , 1977, The Mathematical Gazette.

[8]  J. Doob Stochastic processes , 1953 .

[9]  M. Kac Random Walk and the Theory of Brownian Motion , 1947 .

[10]  M. Tippett Exchange Valuation Rules: Optimal Use of Specific Price Indices , 1987 .

[11]  Shyam Sunder,et al.  Marginal Gains In Accuracy Of Valuation From Increasingly Specific Price Indexes - Empirical-Evidence For The United-States-Economy , 1983 .

[12]  W. Torrez,et al.  An Introduction to Stochastic Processes. , 1983 .

[13]  S. Sunder Accuracy Of Exchange Valuation Rules , 1978 .

[14]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion , 1930 .

[15]  Intertemporal And Cross-Sectional Variation In The Association Between Unexpected Accounting Rates Of Return And Abnormal Returns , 1990 .

[16]  M. Tippett An Induced Theory of Financial Ratios , 1990 .

[17]  S. Sunder,et al.  Accuracy of Exchange Valuation Rules: Additivity and Unbiased Estimation , 1984 .

[18]  B. Øksendal Stochastic Differential Equations , 1985 .

[19]  Shyam Sunder,et al.  ECONOMETRIC EFFICIENCY OF ASSET VALUATION RULES UNDER PRICE MOVEMENT AND MEASUREMENT ERRORS , 1990 .

[20]  G. P. Beaumont,et al.  Introduction to Statistical Inference , 1963 .

[21]  I. Fisher,et al.  The Money Illusion. , 1929 .

[22]  M. Tippett,et al.  In-Substance Debt Defeasance, Risk and Cash Flow Matchings , 1991 .

[23]  M. Tippett On the Numerical Estimation of the Loss from Holding Monetary Items , 1982 .

[24]  C. J. Stone,et al.  Introduction to Stochastic Processes , 1972 .

[25]  K. Peasnell,et al.  How Well Does a Single Index Represent the Nineteen Sandilands Plant and Machinery Indices , 1977 .

[26]  Ian Jacques,et al.  Numerical Analysis , 1987 .

[27]  Shyam Sunder,et al.  Accuracy of linear valuation rules in industry-segmented environments: Industry- vs. economy-weighted indexes , 1990 .

[28]  R. Sterling Theory of the measurement of enterprise income , 1970 .