000 01992cam a22003137 4500
001 w5128
003 NBER
005 20211020114250.0
006 m o d
007 cr cnu||||||||
008 210910s1995 mau fo 000 0 eng d
100 1 _aEngle, Robert F.
_99921
245 1 0 _aGARCH Gamma /
_cRobert F. Engle, Joshua V. Rosenberg.
260 _aCambridge, Mass.
_bNational Bureau of Economic Research
_c1995.
300 _a1 online resource:
_billustrations (black and white);
490 1 _aNBER working paper series
_vno. w5128
500 _aMay 1995.
520 3 _aThis paper addresses the issue of hedging option positions when the underlying asset exhibits stochastic volatility. By parameterizing the volatility process as GARCH, and utilizing risk- neutral valuation, we estimate hedging parameters (delta and gamma) using Monte-Carlo simulation. We estimate hedging parameters for options on the Standard and Poor's 500 index, a bond futures index, a weighted foreign exchange rate index, and an oil futures index. We find that Black-Scholes and GARCH deltas are similar for all the options considered, while GARCH gammas are significantly higher than BS gammas for all options. For near the money options, GARCH gamma hedge ratios are higher than BS hedge ratios when hedging a long term option with a short term option. Away from the money, GARCH gamma hedge ratios are lower than BS.
530 _aHardcopy version available to institutional subscribers
538 _aSystem requirements: Adobe [Acrobat] Reader required for PDF files.
538 _aMode of access: World Wide Web.
588 0 _aPrint version record
700 1 _aRosenberg, Joshua V.
_919746
710 2 _aNational Bureau of Economic Research.
830 0 _aWorking Paper Series (National Bureau of Economic Research)
_vno. w5128.
856 4 0 _uhttps://www.nber.org/papers/w5128
856 _yAcceso en lĂ­nea al DOI
_uhttp://dx.doi.org/10.3386/w5128
942 _2ddc
_cW-PAPER
999 _c343235
_d301797