D21-F01-A05 · four-stage decision lab · synthetic teaching data

Merton Distance-to-Default

Solve the coupled equity equations, separate physical and risk-neutral measures, and expose convergence, drift, default-point, and model-assumption risk.

Question: How can equity value and volatility imply an asset-value cushion above debt under the Merton structural model?

Stage 1 · orient

Choose the analytical question before touching the number

Decision boundary

Invariant:

Stage 2 · predict

Commit to a direction before revealing the challenge

Your prediction
Stage 3 · experiment

Move one declared driver; keep the scenario contract fixed

Complete 61-state output series and evidence trace

Scenario result traceAll independently calculated states with the selected state marked.

Stage 4 · explain

Compare the anchor and candidate before interpreting

Anchor result
Candidate result
ComponentAnchorCandidateWhat changed?

Misconception check:

Inspect the structured input and output

Input

Output


Scenario evidence index
The lab surfaces curated stops for instruction while preserving all seven scenarios × 61 independently calculated states for audit.
ScenarioDriverQuestionRangeDecision segments