workflow-derivatives-real-options

name

workflow-derivatives-real-options

description

WHAT: Apply real-option valuation to corporate capital allocation decisions (defer, abandon, expand, contract, switch); use binomial tree pricing and decision-tree rollback to quantify the option premium over static NPV. WHEN: Invoke for capex deferral analysis, project abandonment value, growth-option strategic valuation, staged investment sequencing, or any capital decision where managerial flexibility has material value.

Real Options Valuation

What this skill covers

A structured pipeline for quantifying the value of managerial flexibility embedded in capital investment decisions. Real options are priced using the CRR binomial tree via real_option_valuation, supplemented by decision-tree rollback and expected-value calculations via decision_tree_analysis. The analysis produces the real-option value (ROV), the static NPV, the option premium (ROV minus NPV), and the optimal exercise threshold. Apply this workflow when project volatility exceeds 30% or when the capital decision involves irreversibility, staging, or contingency on future outcomes.

Workflow

Phase 1 — Static NPV Baseline

1. Establish the static (no-flexibility) NPV as the baseline:
   • Call dcf_model or monte_carlo_dcf with the project's base-case cash flow projections, WACC, and terminal value assumptions.
   • Record the static NPV. A negative or marginal static NPV does not preclude a positive real-option value.
2. Call wacc_calculator to confirm the discount rate, or document the hurdle rate if the project uses a project-specific risk adjustment.
3. Document the investment cost (I), the underlying project asset value (V₀ = PV of future cash inflows without flexibility), and the ratio V₀/I (analog to S/K for an option):
   • V₀/I < 0.8: deep out-of-the-money; option value is primarily from vol premium.
   • V₀/I 0.8–1.2: at-the-money; flexibility has the highest marginal value.
   • V₀/I > 1.2: in-the-money; deferral option has less value but abandonment may still matter.

Phase 2 — Project Volatility Estimation

4. Estimate project-specific volatility (σ) using one or more of the following approaches:
   • Comparable public company vol: pull fmp_historical_price for 3-5 comparable companies and compute annualized realized vol. Average or median serves as the project vol proxy.
   • Management range: if management provides optimistic and pessimistic V₀ estimates, compute σ = (ln(V_high / V_low)) / (2 × 1.65 × sqrt(T)) for a 90th-percentile range.
   • Monte Carlo vol: run monte_carlo_dcf and compute the standard deviation of the NPV distribution, then express as a fraction of V₀.
5. Flag if σ < 15% (real option adds little) or σ > 60% (binomial tree may require more steps for accuracy; use ≥ 500 steps).

Phase 3 — Real Option Valuation

6. Call real_option_valuation with:
   • option_type: one of "defer", "abandon", "expand", "contract", "switch", or "compound".
   • asset_value (V₀): PV of cash inflows without flexibility (from Phase 1).
   • investment_cost (I): capex or exercise price.
   • volatility (σ): from Phase 2.
   • risk_free_rate: from fmp_treasury_rates at the option tenor.
   • tenor: time until the option expires (years the decision can be deferred, or project life for abandonment).
   • steps: minimum 200; use 500 for high-volatility projects.
   • dividends: any cash outflow from holding the project (maintenance, opportunity cost as % of V₀ per year).
7. Extract from the tool response:
   • Real option value (ROV): binomial-tree option price.
   • Option premium: ROV minus max(static NPV, 0). This is the value of flexibility.
   • Optimal exercise threshold: the minimum V₀ at which immediate exercise is optimal (analogous to the early-exercise boundary for American options).

Phase 4 — Decision Tree Analysis

8. For staged or contingent investments, construct an explicit decision tree and call decision_tree_analysis:
   • Define decision nodes (invest / wait / abandon) and chance nodes (market outcomes: favorable / unfavorable).
   • Assign probabilities and payoffs to each branch from analyst assumptions or scenario model.
   • The tool returns: EMV (expected monetary value) at each node, optimal decision path, and EVPI (expected value of perfect information).
9. Compare EMV from the decision tree to the binomial ROV. Material divergence (> 15%) indicates that the decision tree's discrete branching does not adequately capture continuous price dynamics; the binomial ROV is preferred in that case.

Phase 5 — Sensitivity Analysis

10. Call sensitivity_matrix with project volatility (σ) on one axis (±10, ±20, ±30% of the base estimate) and V₀/I ratio on the other axis (0.6, 0.8, 1.0, 1.2, 1.4) to produce a 5 × 5 ROV grid.
11. Call scenario_analysis with:
    • Bear: low V₀, high I, low σ.
    • Base: central estimates.
    • Bull: high V₀, low I, high σ.
    • Report ROV and option premium in each scenario.

Phase 6 — Strategic Interpretation

12. Interpret the real option analysis for the capital decision:
    • Defer: is waiting valuable? Compare ROV to static NPV. If ROV > I and static NPV < 0, the project creates value only through the deferral option.
    • Abandon: does the abandonment option justify proceeding? If salvage value × probability of abandonment > 10% of project cost, the option is material.
    • Expand/contract: quantify the percentage uplift or downside mitigation from scale flexibility.
    • Compound: for staged investments, each stage is an option on the next; document the option-on-option structure.

Output Format

Static NPV Baseline

Parameter	Value	Source
PV of cash inflows (V₀)	—	dcf_model / monte_carlo_dcf
Investment cost (I)	—	Input
Static NPV	—	dcf_model
V₀ / I ratio	—	Computed
WACC / hurdle rate	—	wacc_calculator

Project Volatility

Method	Estimated σ	Source
Comparable company realized vol	—	fmp_historical_price
Management range estimate	—	Analyst assumption
Monte Carlo NPV distribution	—	monte_carlo_dcf
Selected σ	—	Basis for ROV

Real Option Valuation

Parameter	Value	Source
Option type	—	Input
Asset value (V₀)	—	Phase 1
Investment cost (I)	—	Input
Volatility (σ)	—	Phase 2
Risk-free rate	—	fmp_treasury_rates
Option tenor (years)	—	Input
Binomial steps	—	Input
Real option value (ROV)	—	real_option_valuation
Static NPV	—	dcf_model
Option premium (ROV − NPV)	—	Computed
Optimal exercise threshold (V₀*)	—	real_option_valuation
Option premium as % of V₀	—	Computed

Decision Tree Summary (if applicable)

Node	Decision / Outcome	Probability	Payoff	EMV

Metric	Value	Source
EVPI	—	decision_tree_analysis
Optimal path	—	decision_tree_analysis

Scenario Analysis

Scenario	V₀	I	σ	ROV	Option Premium
Bear	—	—	—	—	—
Base	—	—	—	—	—
Bull	—	—	—	—	—

Sensitivity Matrix: ROV vs Volatility and V₀/I

(5 × 5 grid — output from sensitivity_matrix)

Strategic Recommendation

Option type	Current status	Recommendation

Tool-Call Traceability

#	Tool	Key Inputs	Output

Quality Gates

• Static NPV baseline established via dcf_model or monte_carlo_dcf before calling real_option_valuation.
• Project volatility estimated from at least one data-driven method using fmp_historical_price or monte_carlo_dcf; not assumed arbitrarily.
• real_option_valuation called with correct option type matching the decision being analyzed.
• Binomial steps ≥ 200; increased to ≥ 500 if σ > 60%.
• Option premium documented as ROV minus max(static NPV, 0) and as % of V₀.
• Optimal exercise threshold (V₀*) reported and interpreted.
• Decision tree (decision_tree_analysis) used for staged / contingent structures; EVPI reported.
• Sensitivity matrix produced: σ range × V₀/I range.
• Scenario analysis present: bear, base, bull with probability weights summing to 100%.
• Real option premium benchmark check: 10-30% of static NPV is the expected range; deviations documented.
• Every number in output maps to a row in the traceability table.

Related Skills

• workflow-derivatives-option-pricing — real options share the binomial tree pricing engine; vanilla option concepts apply.
• workflow-derivatives-futures-forwards — deferral options on commodity projects require forward curve inputs for V₀ estimation.
• corp-finance-analyst-derivatives — agent body with real-option type definitions and CRR binomial conventions.
• corp-finance-analyst-core — DCF and WACC methodology for the static NPV baseline.