Title
Novel use of singularity functions to model periodic phenomena in cash flow analysis
Abstract
When seeking to properly consider the time value of money, typical periodic cash flows such as payments and interest charges are difficult to model. This paper explores a new signal function that employs singularity functions to express such intermittent phenomena. This flexible signal function allows manipulating the parameters of start and finish, amplitude, and period of the signal efficiently, so that payments and interest charges can be modeled accurately. This novel approach is beneficial in several ways. First, the new model can effectively incorporate shift and delay effects that may affect an activity. Second, it applies an exact interest calculation. Third, it can handle compounding in its accumulation. Finally, a comprehensive model is created that returns the cumulative balance including interest charges at all times. It is concluded that signal functions are a promising area for future research on modeling and optimizing the cash flows.
Year
DOI
Venue
2013
10.1109/WSC.2013.6721682
Winter Simulation Conference
Keywords
Field
DocType
payments,economic indicators,delay effects,cumulative balance,time value,money,cash flows modeling,flexible signal function,cash flow analysis,interest charges,shift effects,financial management,singularity functions,modelling,periodic phenomena model,periodic cash flows,interest calculation,cash flows optimization
Cash accumulation equation,Terminal value,Simulation,Computer science,Singularity function,Time value of money,Net present value,Payment,Periodic graph (geometry),Cash flow
Conference
ISSN
ISBN
Citations 
0891-7736
978-1-4799-2077-8
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Yi Su101.01
Gunnar Lucko2175.04