The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-bond-pricing-and-yield-state-any-ke-69e5

stable pending witness
2026-05-29 02:35:54 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain bond pricing and yield. State any key formula.
72 chars

Generation

# Bond Pricing and Yield **Bond pricing** is based on the present value of future cash flows: a bond's price equals the discounted value of all future coupon payments plus the face value at maturity. **Yield** (specifically yield to maturity, or YTM) is the discount rate that equates the bond's price to these cash flows—essentially the total return an investor earns if holding the bond until maturity. **Key Formula:** $$P = \sum_{t=1}^{n} \frac{C}{(1+y)^t} + \frac{F}{(1+y)^n}$$ Where P = price, C = coupon payment, F = face value, y = yield (YTM), and n = periods to maturity. Bond prices and yields move inversely: when yields rise, prices fall, and vice versa.
26 tokens in · 200 tokens out · 4434 ms · $0.0031

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
4442.0 ms
Base LLM
4434.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0031

Trail

02:35:54 received prompt_chars=72 verifiers=['scripture_anchors', 'theology_doctrine']
02:35:54 red_gate decision=pass reason=no disqualifying input patterns detected
02:35:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=200 latency_ms=4434.5 cost_usd=0.0031
02:35:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:35:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:35:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:35:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:35:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:35:59 signed hash_algo=sha256 hash=sha256:7b08252fd5cc6cc494a6cfa9a90d73c2e3808b0aea84ceb81c2e93508aedfcfa

Content hash

sha256:7b08252fd5cc6cc494a6cfa9a90d73c2e3808b0aea84ceb81c2e93508aedfcfa

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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