Implication of risk adjusted discount rates on cycle stock and safety stock in a multi-period inventory model

Inventory management is a major area of study in the field of production management, and applications often result in major efficiency gains and service level improvements. Economists believe that inventory levels play a pivotal role in the onset of economic recessions. Nevertheless, financial theories have given only cursory attention to inventory factors. The goal of this research is to apply tools of financial economics to address basic issues in inventory management. A capital asset pricing model is developed and applied to determine lot size and reorder points from minimizing present value of total cost subject to risk adjusted discount rates.

[1]  Ekaterina Bulinskaya.  Inventory control and investment policy , 2003 .

[2]  M. Anvari,et al.  Optimality Criteria and Risk in Inventory Models: The Case of the Newsboy Problem , 1987 .

[3]  Peter Kelle,et al.  Stockout risk and order splitting , 2001 .

[4]  E. Fama.  Risk-adjusted discount rates and capital budgeting under uncertainty , 1977 .

[5]  R. Rempala,et al.  Multi-product inventory and auxiliary allocation problem , 2001 .

[6]  Mona F. El-Wakeel,et al.  Probabilistic multi-item inventory model with varying order cost under two restrictions: A geometric programming approach , 2003 .

[7]  G. Hadley.  A Comparison of Order Quantities Computed Using the Average Annual Cost and the Discounted Cost , 1964 .

[8]  Yong H. Kim,et al.  Inventory management under uncertainty: A financial theory for the transactions motive , 1989 .

[9]  William Beranek,et al.  Financial Implications of Lot-Size Inventory Models , 1967 .

[10]  Richard Roll,et al.  CAPITAL BUDGETING OF RISKY PROJECTS WITH “IMPERFECT” MARKETS FOR PHYSICAL CAPITAL , 1974 .

[11]  W. Sharpe.  CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[12]  S. Harrington,et al.  Fair Rate of Return in Property-Liability Insurance , 1987 .

[13]  James E. Smith,et al.  Valuing Risky Projects: Option Pricing Theory and Decision Analysis , 1995 .

[14]  R. C. Merton,et al.  AN INTERTEMPORAL CAPITAL ASSET PRICING MODEL , 1973 .

[15]  Emanuele Borgonovo,et al.  Financial management in inventory problems: Risk averse vs risk neutral policies , 2009 .

[16]  J. Lintner.  THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[17]  J. Cummins.  Statistical and Financial Models of Insurance Pricing and the Insurance Firm , 1991 .

[18]  E. Fama,et al.  Industry costs of equity , 1997 .

[19]  Stephen P. D'Arcy,et al.  Property-liability insurance pricing models : an empirical evaluation , 1990 .

[20]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .