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Erschienen in: Electronic Commerce Research 2/2021

19.07.2019

Cash flow prediction: MLP and LSTM compared to ARIMA and Prophet

verfasst von: Hans Weytjens, Enrico Lohmann, Martin Kleinsteuber

Erschienen in: Electronic Commerce Research | Ausgabe 2/2021

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Abstract

Cash flow prediction is important. It can help increase returns and improve the allocation of capital in healthy, mature firms as well as prevent fast-growing firms, or firms in distress, from running out of cash. In this paper, we predict accounts receivable cash flows employing methods applicable to companies with many customers and many transactions such as e-commerce companies, retailers, airlines and public transportation firms with sales in multiple regions and countries. We first discuss “classic” forecasting techniques such as ARIMA and Facebook's™ Prophet before moving on to neural networks with multi-layered perceptrons and, finally, long short-term memory networks, that are particularly useful for time series forecasting but were until now not used for cash flows. Our evaluation demonstrates this range of methods to be of increasing sophistication, flexibility and accuracy. We also introduce a new performance measure, interest opportunity cost, that incorporates interest rates and the cost of capital to optimize the models in a financially meaningful, money-saving, way.

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Fußnoten
1
For scaling purposes in this figure, the IOC values were multiplied by 20.
 
2
The Prophet package has inherent knowledge of weekend days and German holidays.
 
3
We used the Python SARIMAX implementation (sm.tsa.statespace.SARIMAX) for ARIMA and Prophet’s Python implementation (fbprophet.prophet).
 
4
LSTM achieves the best MSE and MAE values after optimizing for IOC. This counter-intuitive result can be attributed to the intricacies of the interplay between model, data, cost function, optimization algorithms, etc. The discussion of the phenomenon is outside the scope of this paper.
 
5
For clarity, the MSE-optimized MLP and LSTM were omitted.
 
6
The flattening technique described in the previous section is only a partial workaround. Since no information is passed between nodes within a layer, the relation beween the different time vectors remains challenging to model in an MLP.
 
7
Since the formula for each cell in a layer is identical, we used a vector notation to encompass all cells. \(\otimes\) and \(\oplus\) denote an element-wise product (Hadamard) and sum, respectively.
 
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Metadaten
Titel
Cash flow prediction: MLP and LSTM compared to ARIMA and Prophet
verfasst von
Hans Weytjens
Enrico Lohmann
Martin Kleinsteuber
Publikationsdatum
19.07.2019
Verlag
Springer US
Erschienen in
Electronic Commerce Research / Ausgabe 2/2021
Print ISSN: 1389-5753
Elektronische ISSN: 1572-9362
DOI
https://doi.org/10.1007/s10660-019-09362-7

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