# localVolImpl (3) - Linux Man Pages

### localVolImpl: Local volatility curve derived from a Black curve.

## NAME

QuantLib::LocalVolCurve - Local volatility curve derived from a Black curve.

## SYNOPSIS

#include <ql/termstructures/volatility/equityfx/localvolcurve.hpp>

Inherits **QuantLib::LocalVolTermStructure**.

### Public Member Functions

**LocalVolCurve** (const **Handle**< **BlackVarianceCurve** > &curve)

**TermStructure interface**

const **Date** & **referenceDate** () const

*the date at which discount = 1.0 and/or variance = 0.0 *

**DayCounter** **dayCounter** () const

*the day counter used for date/time conversion *

**Date** **maxDate** () const

*the latest date for which the curve can return values *

**VolatilityTermStructure interface**

Real **minStrike** () const

*the minimum strike for which the term structure can return vols *

Real **maxStrike** () const

*the maximum strike for which the term structure can return vols *

**Visitability**

virtual void **accept** (**AcyclicVisitor** &)

### Protected Member Functions

**Volatility** **localVolImpl** (Time, Real) const

## Detailed Description

Local volatility curve derived from a Black curve.

## Member Function Documentation

**Volatility** localVolImpl (Time t, Real dummy) const [protected, virtual]

The relation [ int_0^T igma_L^2(t)dt = igma_B^2 T ] holds, where $ igma_L(t) $ is the local volatility at time $ t $ and $ igma_B(T) $ is the Black volatility for maturity $ T $. From the above, the formula [ igma_L(t) = qrt{ac{mathrm{d}}{mathrm{d}t}igma_B^2(t)t} ] can be deduced which is here implemented.

Implements **LocalVolTermStructure**.

## Author

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