A Note on Modeling Simple Dynamic Cash Balance Problem: Errata

B-Tier
Journal: Journal of Financial and Quantitative Analysis
Year: 1978
Volume: 13
Issue: 3
Pages: 585-586

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

In [2], I gave a solution of an extended cash balance problem which disallows overdrafts and shortselling. This solution is incorrect. To show this, we produce a counterexample constructed by Carl Norstrøm. In the notation of the note [2], let x0 = 0, y0 = 3, d(t) = 0, α = 0, T = 10, M1 = M2 = ∞and r2 (t) = .1. Applying the procedure in [2] to this problem, we obtain the policy of impulse-selling all the securities at t = 0. On the other hand, it is obvious by inspection that the optimal policy is to keep the securities until t = 5, at which time, turn them into cash by an impulse-sale. We note, in passing, that the solution by inspection in this case is possible because there is no bounds on the control variable.

Technical Details

RePEc Handle
repec:cup:jfinqa:v:13:y:1978:i:03:p:585-586_00
Journal Field
Finance
Author Count
1
Added to Database
2026-01-29