Journal of Financial and Quantitative Analysis19661(2), b1-b1open access
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Journal of Financial and Quantitative Analysis19661(2), f1-f14open access
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Journal of Financial and Quantitative Analysis19661(3), 1open access
Investment analysis, both for purposes of capital expenditures and for financial investments, is based on an evaluation of cash flows. This evaluation involves the application of interest rates in order to determine whether a given option–a series of cash flows–is profitable or not. For numerous reasons, primarily that of simplicity, it has been traditional to assume that the rates of interest used to measure the worth of an investment are constant. With this assumption it is possible to equate the two familiar investment criteria when investments are independent and outlays are not subject to expenditure constraints, i.e., when capital markets are taken to be perfect in the usual sense. An investment is profitable if its net present value is positive when discounting of cash flows uses the (assumed constant) cost of capital, or if its (assumed unique) internal rate of return is greater than the cost of capital. Equivalence of these two criteria is historically most frequently identified with Irving Fisher [3, 4], and his two-period analysis, portrayed graphically, is generally utilized to establish the correctness of the equivalence of the criteria.
Journal of Financial and Quantitative Analysis19661(4), f1-f5open access
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Journal of Financial and Quantitative Analysis19661(3), f1-f5open access
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Journal of Financial and Quantitative Analysis19661(1), f1-f3open access
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Quarterly Journal of Economics196680(4), 526open access
I. Introduction, 526. — II. Alternative discrete capital models, 528. — III. Reswitching in two-good technologies, 531. — IV. Reswitching in a general capital model, 538. — V. Some additional implications for economic theory, 546.
A model is presented for the derivation and implementation of optimal linear decision rule for a firm producing and dealing in a number of interacting products, and possessing partial influence on their prices. The behavior of a multi-item production-inventory complex is represented as the dynamics of suitably defined state variables under the influence of decision rules that are stable and linear in the state variables, but otherwise unspecified. The dynamical equations are stochastic owing to the presence of stochastic processes in the forcing terms. The statistical properties of these processes, together with the decision rules, determine the statistics of the outcome or the criterion functional. The optimum inventory decision is then derived as the "best" linear transformation on the past of the state variables such that the mean value of the criterion functional is optimized subject to the system constraints. [Likely published between 1961-1966.]