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Risk-Adjusted Payback Period Valuation for Startup Investment: A Stage-Calibrated Framework with Risk-Monotone Payback Horizons

Authors: Sangyul Baek;

Risk-Adjusted Payback Period Valuation for Startup Investment: A Stage-Calibrated Framework with Risk-Monotone Payback Horizons

Abstract

Startup valuation remains among the most contested problems in finance, owing to absent or negative near-term earnings, extreme uncertainty, and the circularity embedded in the dominant practitioner heuristic: peer-group multiples used to set entry price, followed by DCF reverseengineering to produce post-hoc justification. This paper extends the Risk-Adjusted Payback Period (RAPP) model of Baek (2026) to the startup context, introducing four principal contributions. First, we establish the Risk-Monotone Payback Horizon Principle (RMPHP): higher investment-stage risk should shorten the acceptable payback horizon T*, not extend it, because investors in earlier-stage ventures must demand faster fundamental validation before risk capital is considered justified. Second, we develop the Stage-Calibrated RAPP (SC-RAPP) framework comprising: (1) a three-phase EPS projection model accommodating pre-profitability trajectories (Burn, Ramp-Up, and Maturity phases); (2) a startup-adapted Discount Rate-Payback Period Mapping (DRPM) formula anchored to terminal-state parameters with explicit survival-probability adjustment; (3) a RAPP Fair Entry Price derived from projected EPS over the risk-calibrated horizon; and (4) a Reverse RAPP diagnostic that decomposes any peer-group valuation into an implied future EPS and business metrics target, converting the circular post-hoc DCF justification into an auditable, falsifiable business assumption. Three stylized case studies spanning Series A SaaS, Series B marketplace, and Pre-IPO platform illustrate the framework. Stage-calibrated T* reference tables and sector adjustment guidelines provide practitioners with direct implementation support. SC-RAPP offers a theoretically grounded alternative to the peercomps/DCF-reversal approach that is computationally transparent, communicable to nontechnical stakeholders, and free from the circularity and sentiment-inheritance pathologies of relative valuation.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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