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How does netting reduce Exposure at Default for derivatives portfolios?
Netting offsets positive and negative MTMs across trades with one counterparty, reducing both current exposure and add-ons...
What is the Altman Z-score formula and how do I interpret it for manufacturers?
Z = 1.2X1 + 1.4X2 + 3.3X3 + 0.6X4 + 1.0X5. Safe zone above 2.99, distress below 1.81.
How do FICO credit scoring models work for consumer lending?
FICO scores range from 300 to 850 and are built from five weighted components: payment history 35%, amounts owed 30%, length of history 15%, new credit 10%, and credit mix 10%.
When is it optimal to exercise an American put early?
American puts CAN be optimal to exercise early because the strike earns interest immediately...
How does put-call parity work for European options and why can't it be violated?
Put-call parity states C + PV(K) = P + S because both sides replicate max(S_T, K) payoff...
How do rating agencies actually assign a rating to a corporate bond issuance?
The rating process is a structured engagement. Consider Meridian Logistics Inc., a mid-size freight operator issuing a $400M senior unsecured note. The steps are engagement, information submission, management meeting...
What are the option Greeks and why does FRM emphasize each one?
Greeks quantify how an option's value moves when a single input shifts. Delta, gamma, theta, vega, rho each measure a different sensitivity used for hedging and risk limits.
What exactly is a mortgage-backed security and how does the cash flow structure work?
A mortgage-backed security (MBS) is a bond whose cash flows come from a pool of residential mortgages. Unlike corporate bonds, MBS are amortizing, carry prepayment risk, and pass through payments net of servicing and guarantee fees.
What is the volatility risk premium and why does it exist?
The volatility risk premium (VRP) is the persistent gap between option-implied volatility and subsequently realized volatility on the underlying. Empirically, 30-day S&P 500 implied vol averages roughly 3-4 vol points above realized.
How do I design key risk indicators (KRIs) and build an effective risk dashboard?
KRIs are forward-looking predictive metrics linked to the risk taxonomy, with thresholds and response actions. Dashboards should be layered by audience.
When should I use delta-gamma VaR instead of delta-normal?
Delta-gamma VaR extends the linear delta approximation with a quadratic gamma term, capturing curvature in option payoffs.
How does seniority affect LGD assumptions in credit models?
Seniority drives recovery priority: senior secured ~62%, unsecured ~42%, subordinated ~30%, with cycle and industry adjustments...
How do you quantify risk tolerance versus risk appetite — and are they the same thing?
Tolerance operationalizes appetite into specific measurable limits with target, warning, and breach thresholds that cascade across the organization.
How is delta-normal VaR calculated for a multi-asset portfolio?
Delta-normal VaR linearizes positions using their deltas (first-order sensitivities) to underlying risk factors, then treats the risk factor returns as jointly normal.
How does Moody's KMV calculate Expected Default Frequency (EDF)?
KMV backs out asset value from equity, computes distance-to-default against a modified default point, then maps to empirical EDF...
How do I design a risk appetite statement that is actually useful, not just a boilerplate document?
A useful RAS links strategy to measurable risk boundaries with clear thresholds, cascade, and real consequences — not a shelf document.
How do mixture distributions improve VaR estimates?
A mixture distribution combines two or more normal (or other) distributions with weights that sum to one.
How does CreditMetrics calculate portfolio credit VaR?
CreditMetrics simulates rating migrations using correlated normals against transition thresholds, then revalues each position...
What are the core components of an Enterprise Risk Management (ERM) framework?
ERM integrates risk across the enterprise via governance, appetite, assessment, KRIs, aggregation, and reporting — with culture being the critical enabler.
When should I use lognormal VaR instead of normal VaR?
Lognormal VaR models the price level as lognormal, equivalently log returns as normal, which enforces positive prices and a skewed loss distribution.
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