/**
 * Result of IRR calculation
 */
export interface IRRResult {
    rate: number;
    iterations: number;
    method: 'newton-raphson' | 'bisection';
}
/**
 * Calculate IRR using Damped Newton-Raphson method with step size limiting and backtracking
 *
 * This is a robust implementation that includes:
 * - Step size limiting to prevent divergence
 * - Damping factor for stability
 * - Backtracking line search
 * - Automatic fallback triggers
 *
 * @param cashFlows - Array of cash flows
 * @param timePeriods - Array of time periods in years
 * @param initialRate - Initial guess for discount rate
 * @param maxIterations - Maximum number of iterations
 * @param tolerance - Convergence tolerance
 * @returns IRR result with rate, iterations, and method used
 * @throws Error if convergence fails or derivative becomes too small
 */
export declare function calculateIRRWithNewtonRaphson(cashFlows: number[], timePeriods: number[], initialRate: number, maxIterations: number, tolerance: number): IRRResult;