The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-discounted-cash-flow-valuation-stat-8f4b

stable pending witness
2026-05-29 06:41:04 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain discounted cash flow valuation. State any key formula.
80 chars

Generation

Discounted cash flow (DCF) valuation estimates an investment's intrinsic value by projecting its future cash flows and discounting them back to present value using a discount rate that reflects the investment's risk. The key principle is that money today is worth more than the same amount in the future due to its earning potential. **Key formula:** PV = CF₁/(1+r)¹ + CF₂/(1+r)² + ... + CFₙ/(1+r)ⁿ Where PV = present value, CF = cash flow in each period, r = discount rate, and n = number of periods. The sum of all discounted future cash flows equals the asset's fair value.
28 tokens in · 162 tokens out · 3435 ms · $0.0025

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3442.6 ms
Base LLM
3435.5 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0025

Trail

06:41:04 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
06:41:04 red_gate decision=pass reason=no disqualifying input patterns detected
06:41:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=162 latency_ms=3435.5 cost_usd=0.0025
06:41:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:41:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:41:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:41:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:41:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:41:08 signed hash_algo=sha256 hash=sha256:cad6b728cb0487b55bd22ecbb530f8a14f4d88e94c01808ff002d98570e1a837

Content hash

sha256:cad6b728cb0487b55bd22ecbb530f8a14f4d88e94c01808ff002d98570e1a837

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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