RDP 8902: Option Prices and Implied Volatilities: An Empirical Analysis Equation

c = fN( d 1 )−xN( d 2 ) p = −fN( − d 1 )+xN( − d 2 ) where d 1 =   log( f/x ) σ√ t ∗ + 1 2 σ√ t ∗ d 2 = d 1 −σ√t* MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaqbaeqabqabaa aaaeaaaeaacaqGJbaabaGaeyypa0dabaGaaeOzaiaab6eadaqadaqa aiaabsgadaWgaaWcbaGaaGymaaqabaaakiaawIcacaGLPaaaiiaacq WFsislcaqG4bGaaeOtamaabmaabaGaaeizamaaBaaaleaacaaIYaaa beaaaOGaayjkaiaawMcaaaqaaaqaaiaabchaaeaacqGH9aqpaeaacq WFsislcaqGMbGaaeOtamaabmaabaGae8NeI0IaaeizamaaBaaaleaa caaIXaaabeaaaOGaayjkaiaawMcaaiab=TcaRiaabIhacaqGobWaae WaaeaacqWFsislcaqGKbWaaSbaaSqaaiaaikdaaeqaaaGccaGLOaGa ayzkaaaabaGaae4DaiaabIgacaqGLbGaaeOCaiaabwgaaeaacaqGKb WaaSbaaSqaaiaaigdaaeqaaaGcbaGaeyypa0dabaGaaGPaVpaalaaa baGaciiBaiaac+gacaGGNbWaaeWaaeaacaqGMbGaai4laiaabIhaai aawIcacaGLPaaaaeaacqaHdpWCcqWFAiI1caqG0bWaaWbaaSqabeaa cqGHxiIkaaaaaOGaey4kaSYaaSaaaeaacaaIXaaabaGaaGOmaaaacq aHdpWCcqWFAiI1caqG0bWaaWbaaSqabeaacqGHxiIkaaaakeaaaeaa caqGKbWaaSbaaSqaaiaaikdaaeqaaaGcbaGaeyypa0dabaGaaeizam aaBaaaleaacaaIXaaabeaakiabgkHiTiabeo8aZjab=PHiwlaabsha caqGQaaaaaaa@7B16@