The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-duration-and-interest-rate-risk-sta-3f7e

stable pending witness
2026-05-29 05:54:50 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain duration and interest-rate risk. State any key formula.
81 chars

Generation

# Duration and Interest-Rate Risk **Duration** measures the weighted average time to receive a bond's cash flows and indicates the bond's price sensitivity to interest rate changes. The key relationship is: **Percentage change in bond price ≈ -Duration × Change in yield**. This means a bond with duration of 5 years will decrease approximately 5% in value if interest rates rise by 1%. **Interest-rate risk** is the risk that bond prices will fall when interest rates rise (and vice versa), with longer-duration bonds experiencing greater price volatility than shorter-duration bonds.
28 tokens in · 130 tokens out · 3923 ms · $0.002

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
3929.9 ms
Base LLM
3922.6 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.002

Trail

05:54:50 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
05:54:50 red_gate decision=pass reason=no disqualifying input patterns detected
05:54:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=130 latency_ms=3922.6 cost_usd=0.002
05:54:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:54:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:54:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:54:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:54:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:54:54 signed hash_algo=sha256 hash=sha256:0e96cbe304ebc941689c933c085f92dd19fcc5f9ac8303937f1611f291c87d07

Content hash

sha256:0e96cbe304ebc941689c933c085f92dd19fcc5f9ac8303937f1611f291c87d07

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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