Managing Partner
Carlos Bernardo Gonçalves
20+ years in M&A, structured finance, and corporate finance. Experience in modeling earn-outs, contingent consideration, and hybrid instruments under IFRS 9.

Defensible modeling for non-linear payoffs.
Derivatives valuation is demanded by financial institutions, fund managers, M&A counsel, and listed companies. In all cases, the central challenge is to demonstrate that the applied model is defensible given the payoff and the market data available.
Model choice is determined by payoff structure: not methodological preference. Each family solves a specific set of problems, and applying the wrong model is a technical flaw before any consideration of inputs.
Applied to European plain-vanilla options on a single underlying with constant volatility and single exercise at maturity. Extensions: Merton for dividend-paying stocks, Garman-Kohlhagen for FX, Black-76 for options on futures: calibrate the model to specific classes. Useful for initial benchmarking even when the real payoff requires a more sophisticated model.
Applied to American options with early-exercise possibility, options with discrete dividends, and options with simple barriers. The binomial model allows explicit treatment of discrete events in time: useful for stock options with cliff vesting, earn-outs with annual triggers, and instruments with contractual renewal.
Applied to payoffs depending on the full trajectory of the underlying (path-dependent), multiple correlated underlyings, or non-monotonic payoff structures. Covers earn-outs with cap and floor, Asian options, lookback options, basket payoffs with correlation, and contingent consideration with multiple triggers. Correlation and volatility calibration is the critical technical point.
The procedure below is applied in full to material derivatives. For plain-vanilla derivatives with active market (Level 1 / Level 2), the procedure simplifies to direct mark-to-market or mark-to-model with observable inputs.
Full contractual analysis to identify all embedded optionality, exercise triggers, cap clauses, floor, barriers, knock-in/knock-out, and path-dependence of the underlying.
Determination of classification under CPC 48 / IFRS 9: fair value through P&L (FVTPL), fair value through OCI (FVTOCI), or other applicable category, with explicit treatment of embedded derivatives requiring separation from the host contract.
Justified choice of valuation model according to payoff structure. Simpler models are preferred when they produce equivalent results: Occam applied to the quantitative.
Construction of interest rate curves (zero rate by currency, with bootstrapping from swaps and treasuries), implied volatility curves, historical and implied correlations, expected dividends, and carrying costs.
For derivatives on assets without liquid market (private equity, real estate, intangibles), construction of expected distribution of the underlying via DCF, scenario simulation, or historical volatility of sector proxies.
Execution of the selected model with calibrated inputs. For Monte Carlo, minimum of 100,000 simulations with convergence tests. For lattice, sufficient steps for 0.1% fair-value precision.
Calculation of delta, gamma, vega, theta, and rho to measure sensitivity to critical inputs. In material derivatives, additional sensitization on model parameters (correlation, non-observable volatility).
Full documentation of model, inputs, sources, calibration, and code. Formal report under CPC 48 / IFRS 9 standard, with availability for auditor and fiduciary administrator review.
Derivatives are the technical class where model and inputs are under simultaneous scrutiny. The points below concentrate the highest volume of review.
In derivatives on assets with liquid market, the CPC 46 / IFRS 13 hierarchy requires use of observable implied volatility. Substituting historical volatility without justification is immediate downgrade from Level 2 to Level 3.
For options on private companies, volatility is built via sector proxies: listed comparables with leverage adjustment. Sample selection and adjustment are critical technical points.
In earn-outs with multiple triggers or basket options, correlation among underlyings materially determines fair value. Simple historical correlation fails in stress periods: models with conditional correlation or copulas are required in engagements with multiple correlated triggers.
IFRS 9 requires separation of embedded derivatives not "closely related" to the host contract. Separability analysis is frequently underestimated, particularly in convertibles, supply contracts with price-revision clauses, and leases with options.
Earn-outs are typically call spreads on future operating metrics. Modeling them as expected value weighted by scenarios: without capturing the optionality: is a common technical error that undervalues the instrument.
Material derivatives between private parties require DVA/CVA adjustment (Debit/Credit Valuation Adjustment) to reflect bilateral credit risk. Omitting the adjustment is a defensibility deficiency in critical engagements.
| Standard | Scope |
|---|---|
| CPC 48 / IFRS 9 | Credit & Structured Products: classification, measurement, embedded derivatives, hedge accounting. |
| CPC 46 / IFRS 13 | Fair Value Measurement: Level 1, 2, and 3 hierarchy, valuation techniques, sensitivity. |
| CPC 10 / IFRS 2 | Share-Based Payments: measurement of stock options and equity-settled instruments. |
| CPC 15 / IFRS 3 | Business Combinations: reference for initial and subsequent measurement of earn-outs and contingent consideration. |
| IVS 500 | Credit & Structured Products: international standard for financial instruments, including derivatives. |
| CVM Inst. 235, 475 | Disclosure of derivatives by listed companies and structured investment funds in Brazil. |
Engagements involving valuation of derivatives and embedded optionality conducted by the CBG team.
Case · Infrastructure
Level 3 fund quota measurement with treatment of regulatory optionality and contract revision clauses across the concession horizon.
Case · Telecom
Level 3 fund quota measurement for foreign PE fund, with treatment of earn-outs and drag-along clauses.
Case · Cross-border
Cross-border valuation with treatment of hospitality contract renewal clauses and operational optionality.
Case · Listed B3
Impairment and deferred assets in automotive dealership network, with treatment of automaker brand renewal contractual triggers.
Managing Partner
20+ years in M&A, structured finance, and corporate finance. Experience in modeling earn-outs, contingent consideration, and hybrid instruments under IFRS 9.
Sr. Manager · BV
10+ years in valuation consulting, with prior experience at a Big Four firm. Specific experience in mark-to-model of derivatives and Level 3 quotas.
Manager · BV
10+ years in valuation, with background in Monte Carlo, lattice models, and market input calibration for structured instruments.
Next step
One-hour exploratory meeting, under NDA, with initial scenario diagnosis and mapping of critical assumptions. No cost, no commitment.
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