Derivatives

Defensible modeling for non-linear payoffs.

Applicable standards

CPC 48 · IFRS 9 · CPC 46 · IFRS 13 · IVS 500

Lead team

Carlos B. Gonçalves · Maria Messeder · André Freitas

Typical engagement

2 to 6 weeks, depending on payoff complexity

When this practice is applied

When this practice applies

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.

Applied models

Applied models

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.

Closed-form solution

Black-Scholes-Merton (BSM) and extensions

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.

Lattice models

Binomial (Cox-Ross-Rubinstein) and trinomial models

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.

Simulation

Monte Carlo (path-dependent and multi-asset)

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.

Technical procedure

Technical procedure

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.

  1. Payoff decomposition

    Full contractual analysis to identify all embedded optionality, exercise triggers, cap clauses, floor, barriers, knock-in/knock-out, and path-dependence of the underlying.

  2. Accounting classification

    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.

  3. Model selection

    Justified choice of valuation model according to payoff structure. Simpler models are preferred when they produce equivalent results: Occam applied to the quantitative.

  4. Market input calibration

    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.

  5. Underlying modeling

    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.

  6. Fair value calculation

    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.

  7. Sensitivity analysis (Greeks)

    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).

  8. Working papers, report, and technical defense

    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.

Areas of attention

Areas of attention

Derivatives are the technical class where model and inputs are under simultaneous scrutiny. The points below concentrate the highest volume of review.

Applicable standards

Applicable standards

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.
Representative cases

Representative cases

Engagements involving valuation of derivatives and embedded optionality conducted by the CBG team.

Lead team

Lead team

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.

Sr. Manager · BV

Maria Messeder

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

André Freitas

10+ years in valuation, with background in Monte Carlo, lattice models, and market input calibration for structured instruments.

Next step

To discuss a Derivatives engagement.

One-hour exploratory meeting, under NDA, with initial scenario diagnosis and mapping of critical assumptions. No cost, no commitment.

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