Present Value as Information Decay: A Reinterpretation of Discounted Cash Flow

Abstract

This seminal BRPT paper boldly reinterprets the classical Discounted Cash Flow (DCF) formula through the lens of informational decay, profoundly reframing ‘present value’ not as an abstract monetary worth, but as the quantifiable amount of a future claim’s original informational content that survives to the present. Moving decisively beyond ‘Cold Logic’ financial models reliant on purely economic discounting, this work conceptualizes the ‘discount rate’ as a deterministic rate of informational degradation, intricately decomposed into time, risk, and, crucially, a ‘narrative component’ (𝑟). The paper pioneers a testable hypothesis: that linguistic markers of overconfidence or promotional language in financial forecasts directly correlate with measurable ex-post forecast errors, establishing a novel method for pricing in a quantifiable source of risk derived directly from textual analysis. This substrate-independent mechanics of information and equilibrium reveals classical present value as a ‘special case’ of a more general ‘temporal decay’ model (Context 64). By demonstrating how information loss behaves as a ‘smooth, constant-rate, multiplicative’ process, this framework aligns perfectly with the Belsky/Russell Process Theory (BRPT)'s principles of Redactional Evolution and the persistent erosion of an Invariant Core over time, providing critical insights for managing Systemic Latency and ensuring Phase-Locked Coherence (L₀) in financial information systems calibrated to a Humanity Anchor