CAPITAL-CONSTRAINED AI INVESTMENT: A REAL OPTIONS AND EFFICIENCY FRONTIER APPROACH TO LANGUAGE MODEL FINE-TUNING
DOI:
https://doi.org/10.64734/bjss.2-1-02Keywords:
real options, capital budgeting, efficiency frontier, AI investment, language model fine-tuningAbstract
Fine-tuning investments in large language models (LLMs) have become central to corporate AI strategies in recent years. This study models fine-tuning configuration selection not merely as a technical choice but as an irreversible investment decision under capital constraints, proposing a decision architecture that integrates real options theory with portfolio efficiency frontier framework. The propositions are empirically illustrated through four complete fine-tuning runs on the Qwen3.5 model family. Findings indicate that the Qwen3.5-9B configuration constitutes the optimal stopping point on the efficiency frontier.
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References
Aryan, V., Bertolini, M., & Butler, P. (2023). Capital budgeting under technological uncertainty: A real options perspective on AI infrastructure investments. Long Range Planning, 56(4), 102345.
Brealey, R. A., Myers, S. C., & Allen, F. (2020). Principles of corporate finance (13th ed.). McGraw-Hill.
Brown, T., Mann, B., Ryder, N., et al. (2020). Language models are few-shot learners. Advances in Neural Information Processing Systems, 33, 1877-1901.
Chen, T., Xu, B., Zhang, C., & Guestrin, C. (2016). Training deep nets with sublinear memory cost. arXiv:1604.06174.
Dettmers, T., Lewis, M., Shleifer, S., & Zettlemoyer, L. (2022). 8-bit optimizers via block-wise quantization. International Conference on Learning Representations.
Dettmers, T., Pagnoni, A., Holtzman, A., & Zettlemoyer, L. (2023). QLoRA: Efficient finetuning of quantized LLMs. Advances in Neural Information Processing Systems, 36.
Dixit, A. K., & Pindyck, R. S. (1994). Investment under uncertainty. Princeton University Press.
González, M., López, A., & Martínez, R. (2026). Pareto frontier analysis for cost-efficient fine-tuning of large language models. Decision Support Systems, forthcoming.
Hu, E. J., Shen, Y., Wallis, P., et al. (2021). LoRA: Low-rank adaptation of large language models. International Conference on Learning Representations.
Lorie, J. H., & Savage, L. J. (1955). Three problems in rationing capital. Journal of Business, 28(4), 229-239.
Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7(1), 77-91.
McDonald, R., & Siegel, D. (1986). The value of waiting to invest. Quarterly Journal of Economics, 101(4), 707-728.
Mishra, S., Ewing, M. T., & Cooper, H. B. (2022). Artificial intelligence focus and firm performance. Journal of the Academy of Marketing Science, 50, 1176-1197.
Pan, K., Liu, J., & Wang, M. (2025). Break-even analysis of on-premise versus cloud-based deployment of large language models. Journal of Management Information Systems, 42(1), 88-117.
Patterson, D., Gonzalez, J., Le, Q., Liang, C., Munguia, L., Rothchild, D., So, D., Texier, M. & Dean, J. (2021). Carbon emissions and large neural network training. arXiv:2104.10350.
Ross, S. A., Westerfield, R. W., & Jaffe, J. (2019). Corporate finance (12th ed.). McGraw-Hill.
Strubell, E., Ganesh, A., & McCallum, A. (2019). Energy and policy considerations for deep learning in NLP. Annual Meeting of the Association for Computational Linguistics, 3645-3650.
Trigeorgis, L. (1996). Real options: Managerial flexibility and strategy in resource allocation. MIT Press.
Vaswani, A., Shazeer, N., Parmar, N.,Uszkoreit, J., Jones, L., Gomez, A.N., Kaiser, L. & Polosukhin, I. (2017). Attention is all you need. Advances in Neural Information Processing Systems, 30.
Weingartner, H. M. (1963). Mathematical programming and the analysis of capital budgeting problems. Prentice-Hall.
Yang, A., Yang, B., Hui, B., et al. (2024). Qwen2.5 technical report. arXiv:2412.15115.
Yuan, J., Zhang, Y., Wang, X., & Liu, F. (2025). No free lunch in memory-efficient fine-tuning: A multi-axis empirical analysis. Information Systems Research, 36(2), 412-438.
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Copyright (c) 2026 Ertunç ERERDİ- Onur ALTUNTAŞ- Tuba ÇELİK- Mücahit AKIN (Author)

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