Estimation of Long-Term Profitability of Startups: An Experimental Analysis
- 1 School of Accounting and Finance, University of Vaasa, Vaasa, Finland
- 2 School of Accounting and Finance, University of Vaasa, Vaasa, Finland
Abstract
The objective is to assess the performance of different methods to derive an estimate of internal rate of return (IRR) for startups. Koyck transformation is first used to estimate the parameters of a distributed revenue lag model which are then used to derive IRR. For estimation different scenarios of artificial time series of expenditure and revenue are constructed to describe the early years of startups. These scenarios are based on different parameter values of the distributed lag function and are classified into nine experiments. The performance of the following six different estimation methods are compared with each other in these nine experiments: unrestricted OLS, OLS through the origin (RTO), restricted OLS, Least Absolute Deviation (LAD), Ridge Regression (RR), and restricted Maximum Likelihood (ML). The experimental results indicate that the most efficient estimation method is the Ordinary Least Squares (OLS) method where the regression is forced through the origin (RTO). The least efficient method is the unrestricted OLS, which emphasizes the importance of RTO.
- Ak, B. K., Dechow, P. M., Sun, Y., & Wang, A. Y. (2013). The Use of Financial Ratio Models to Help Investors Predict and Interpret Significant Corporate Events. Australian Journal of Management, 38, 553-598. https://doi.org/10.1177/0312896213510714
- Boumans, M., & Morgan, M. S. (2001). Ceteris Paribus Conditions: Materiality and the Application of Economic Theories. Journal of Economic Methodology, 8, 11-26. https://doi.org/10.1080/13501780010022794
- Brief, R. P. (2013). Estimating the Economic Rate of Return from Accounting Data (RLE Accounting) (Vol. 16). Routledge. https://doi.org/10.4324/9781315886404
- Chen, X., & Derezinski, M. (2021). Query Complexity of Least Absolute Deviation Regression via Robust Uniform Convergence. Proceedings of Machine Learning Research, 134, 1-36.
- Davila, A., Foster, G., He, X., & Shimizu, C. (2015). The Rise and Fall of Startups: Creation and Destruction of Revenue and Jobs by Young Companies. Australian Journal of Management, 40, 6-35. https://doi.org/10.1177/0312896214525793
- Duzan, H., & Shariff, N. S. B. M. (2015). Ridge Regression for Solving the Multicollinearity Problem: Review of Methods and Models. Journal of Applied Sciences, 15, 392-404. https://doi.org/10.3923/jas.2015.392.404
- Eisenhauer, J. G. (2003). Regression through the Origin. Teaching Statistics, 25, 76-80. https://doi.org/10.1111/1467-9639.00136
- Eurostat (2022). Business Demography Statistics. Enterprise Survival Rate. https://ec.europa.eu/eurostat/statistics-explained/index.php?title=Business_demography_ statistics#Enterprise_survival_rate
- Feenstra, D. W., & Wang, H. (2000). Economic and Accounting Rates of Return. University of Groningen. Research Institute SOM. SOM-Theme E Financial Markets and Institutions.
- Fomby, T. B., Hill, C. R., & Johnson, S. R. (1984). Advanced Econometric Methods. Springer Verlag. https://doi.org/10.1007/978-1-4419-8746-4
- Franses, P. H., & van Oest, R. (2004). On the Econometrics of the Koyck Model. Econometric Institute, Erasmus University Rotterdam.
- Garnsey, E., Stam, E., & Heffernan, P. (2006). New Firm Growth: Exploring Processes and Paths. Industry and Innovation, 13, 1-20. https://doi.org/10.1080/13662710500513367
- Hall, B. H. (2007). Measuring the Returns to R&D: The Depreciation Problem. Working Paper 13473. National Bureau of Economic Research. https://doi.org/10.3386/w13473