def GreeksFunc(self, option, process):
try:
if self.product.exercise_type == 'E':
engine = ql.AnalyticEuropeanEngine(process)
option.setPricingEngine(engine)
Greeks = pd.DataFrame([option.delta(),option.gamma(),option.vega()/100,option.theta()/365,option.rho()/100], columns = [''], \
index=['Delta','Gamma','Vega(%)','ThetaPerDay','Rho(%)'])
elif self.product.exercise_type == 'A':
#用BaroneAdesiWhaley离散法计算Greeks
engine = ql.BaroneAdesiWhaleyEngine(process)
#engine = ql.BinomialVanillaEngine(process, "crr", 100) #BTM
option.setPricingEngine(engine)
Greeks = self.Numerical_Greeks(option)
else:
raise ValueError #传入的参数self.product.exercise_type 无效
#缺少解析解时用离散法蒙特卡洛模拟，计算Greeks
except:
engine = ql.MCDiscreteArithmeticAPEngine(
process, self.product.mc_str, self.product.is_bb,
self.product.is_av, self.product.is_cv, self.product.n_require,
self.product.tolerance, self.product.n_max, self.product.seed)
option.setPricingEngine(engine)
Greeks = self.Numerical_Greeks(option)
# =============================================================================
# #无论亚美还是亚欧都一样
# engine = ql.MCDiscreteArithmeticAPEngine(process, self.product.mc_str, self.product.is_bb, self.product.is_av, self.product.is_cv, self.product.n_require, self.product.tolerance, self.product.n_max, self.product.seed)
# option.setPricingEngine(engine)
# Greeks = self.Numerical_Greeks(option) #进入离散法计算Greeks
# =============================================================================
return Greeks
def reset_vol(self, vol):
self.flat_vol_ts = ql.BlackVolTermStructureHandle(
ql.BlackConstantVol(self.settlement, self.calendar, vol,
self.day_count))
self.bsm_process = ql.BlackScholesMertonProcess(
self.spot_handle, self.dividend_yield, self.flat_ts,
self.flat_vol_ts)
engine = ql.BaroneAdesiWhaleyEngine(self.bsm_process)
self.ql_option.setPricingEngine(engine)
def GreeksFunc(self, option, process):
if self.exercise_type == 'E':
engine = ql.AnalyticEuropeanEngine(process)
option.setPricingEngine(engine)
Greeks = pd.DataFrame([option.delta(),option.gamma(),option.vega()/100,option.theta()/365,option.rho()/100],\
index=['Delta','Gamma','Vega(%)','ThetaPerDay','Rho(%)'])
elif self.exercise_type == 'A':
#用离散法计算Greeks
engine = ql.BaroneAdesiWhaleyEngine(process)
#engine = ql.BinomialVanillaEngine(process, "crr", 100) #BTM
option.setPricingEngine(engine)
#Delta Gamma
u0 = self.underlying_price.value()
p0 = option.NPV()
h = 0.01 #dS
self.underlying_price.setValue(u0 + h)
p_plus = option.NPV()
#print(p_plus)
self.underlying_price.setValue(u0 - h)
p_minus = option.NPV()
self.underlying_price.setValue(u0)
delta = (p_plus - p_minus) / (2 * h)
gamma = (p_plus - 2 * p0 + p_minus) / (h * h)
#Vega
v0 = self.volatility.value()
h = 0.1
self.volatility.setValue(v0 + h)
print(self.volatility.value())
p_plus = option.NPV()
print(p_plus)
self.volatility.setValue(v0)
vega = (p_plus - p0) / h
#Theta
ql.Settings.instance().evaluationDate = self.vDate + 1
p1 = option.NPV()
h = 1 / 365.0
theta = (p1 - p0) / h
ql.Settings.instance().evaluationDate = self.vDate
#Rho
r0 = self.interest_rate.value()
h = 0.0001
self.interest_rate.setValue(r0 + h)
p_plus = option.NPV()
self.interest_rate.setValue(r0)
rho = (p_plus - p0) / h
Greeks = pd.DataFrame([delta,gamma,vega/100,theta/365,rho/100],\
index=['Delta','Gamma','Vega(%)','ThetaPerDay','Rho(%)'])
else:
pass
return Greeks
def __init__(self,
dt_eval: datetime.date,
dt_maturity: datetime.date,
option_type: constant.OptionType,
option_exercise_type: constant.OptionExerciseType,
spot: float,
strike: float,
vol: float = 0.2,
rf: float = 0.03,
n: int = 801,
dividend_rate: float = 0.0):
super().__init__()
self.values: typing.List[typing.List[float]] = []
self.asset_values: typing.List[typing.List[float]] = []
self.exercise_values: typing.List[typing.List[float]] = []
self.strike = strike
self.spot = spot
self.vol = vol
self.rf = rf
self.dividend_rate = dividend_rate
self.steps: int = n
self.maturity_date = constant.QuantlibUtil.to_ql_date(dt_maturity)
self.settlement = constant.QuantlibUtil.to_ql_date(dt_eval)
ql.Settings.instance().evaluationDate = self.settlement
if option_type == constant.OptionType.PUT:
self.option_type = ql.Option.Put
else:
self.option_type = ql.Option.Call
payoff = ql.PlainVanillaPayoff(self.option_type, strike)
if option_exercise_type == constant.OptionExerciseType.AMERICAN:
self.exercise = ql.AmericanExercise(self.settlement,
self.maturity_date)
self.ql_option = ql.VanillaOption(payoff, self.exercise)
else:
self.exercise = ql.EuropeanExercise(self.maturity_date)
self.ql_option = ql.VanillaOption(payoff, self.exercise)
self.day_count = ql.ActualActual()
self.calendar = ql.China()
self.spot_handle = ql.QuoteHandle(ql.SimpleQuote(spot))
self.flat_ts = ql.YieldTermStructureHandle(
ql.FlatForward(self.settlement, rf, self.day_count))
self.dividend_yield = ql.YieldTermStructureHandle(
ql.FlatForward(self.settlement, self.dividend_rate,
self.day_count))
self.flat_vol_ts = ql.BlackVolTermStructureHandle(
ql.BlackConstantVol(self.settlement, self.calendar, self.vol,
self.day_count))
self.bsm_process = ql.BlackScholesMertonProcess(
self.spot_handle, self.dividend_yield, self.flat_ts,
self.flat_vol_ts)
binomial_engine = ql.BinomialVanillaEngine(self.bsm_process, "crr",
self.steps)
self.ql_option.setPricingEngine(binomial_engine)
ql.BaroneAdesiWhaleyEngine(self.bsm_process)
def PricingFunc(self, option, process):
'''------------- Set pricing engine, return both option and process -------------'''
if self.exercise_type == 'E':
engine = ql.AnalyticEuropeanEngine(process)
elif self.exercise_type == 'A':
engine = ql.BaroneAdesiWhaleyEngine(process)
#engine = ql.BinomialVanillaEngine(process, "crr", 100)
else:
pass
option.setPricingEngine(engine)
return option.NPV()
def PricingFunc(self, option, process):
'''设置定价引擎'''
# 欧式、美式均为QuantLib.AnalyticBarrierEngine
if self.product.exercise_type == 'E':
engine = ql.AnalyticBarrierEngine(process)
elif self.product.exercise_type == 'A':
engine = ql.BaroneAdesiWhaleyEngine(process)
else:
pass
option.setPricingEngine(engine)
return option.NPV()
def PricingFunc(self, option, process):
'''设置定价引擎，返回 option, process'''
if self.product.exercise_type == 'E':
engine = ql.AnalyticEuropeanEngine(process)
elif self.product.exercise_type == 'A':
engine = ql.BaroneAdesiWhaleyEngine(process)
#engine = ql.BinomialVanillaEngine(process, "crr", 100)
else:
pass
option.setPricingEngine(engine)
return option.NPV()
def GreeksFunc(self, option, process):
if self.product.exercise_type == 'E':
engine = ql.AnalyticEuropeanEngine(process)
option.setPricingEngine(engine)
Greeks = pd.DataFrame([option.delta(),option.gamma(),option.vega()/100,option.theta()/365,option.rho()/100], columns = [''], \
index=['Delta','Gamma','Vega(%)','ThetaPerDay','Rho(%)'])
elif self.product.exercise_type == 'A':
#用离散法计算Greeks
engine = ql.BaroneAdesiWhaleyEngine(process)
#engine = ql.BinomialVanillaEngine(process, "crr", 100) #BTM
option.setPricingEngine(engine)
Greeks = self.Numerical_Greeks(option) #进入离散法计算Greeks
else:
pass
return Greeks
def to_ql_option_engine(engine_name=None, process=None, model=None):
""" Returns a QuantLib.PricingEngine for Options
:param engine_name: str
The engine name
:param process: QuantLib.StochasticProcess
The QuantLib object with the option Stochastic Process.
:param model: QuantLib.CalibratedModel
:return: QuantLib.PricingEngine
"""
if engine_name.upper() == 'BINOMIAL_VANILLA':
return ql.BinomialVanillaEngine(process, 'LR', 801)
elif engine_name.upper() == 'ANALYTIC_HESTON':
if model is None:
model = ql.HestonModel(process)
elif model is not None and process is not None:
model = model(process)
return ql.AnalyticHestonEngine(model)
elif engine_name.upper() == 'ANALYTIC_EUROPEAN':
return ql.AnalyticEuropeanEngine(process)
elif engine_name.upper() == 'ANALYTIC_EUROPEAN_DIVIDEND':
return ql.AnalyticDividendEuropeanEngine(process)
elif engine_name.upper() == "FINITE_DIFFERENCES":
return ql.FdBlackScholesVanillaEngine(process)
elif engine_name.upper() == 'HESTON_FINITE_DIFFERENCES':
if model is None:
model = ql.HestonModel(process)
elif model is not None and process is not None:
model = model(process)
return ql.FdHestonVanillaEngine(model)
elif engine_name.upper() == "BARONE_ADESI_WHALEY":
return ql.BaroneAdesiWhaleyEngine(process)
elif engine_name.upper() == "BJERKSUND_STENSLAND":
return ql.BjerksundStenslandEngine(process)
elif engine_name.upper() == "ANALYTIC_GJR_GARCH":
if model is None:
model = ql.GJRGARCHModel(process)
elif model is not None and process is not None:
model = model(process)
return ql.AnalyticGJRGARCHEngine(model)
elif engine_name.upper() == 'MC_GJR_GARCH':
return ql.MCEuropeanGJRGARCHEngine(process=process,
traits='pseudorandom',
timeStepsPerYear=20,
requiredTolerance=0.02)
else:
return None
# market data
underlying = ql.SimpleQuote(36.0)
volatilityQuote = ql.SimpleQuote(0.05)
volatility = ql.BlackConstantVol(todaysDate, ql.QuoteHandle(volatilityQuote),
ql.Actual365Fixed())
dividendYield = ql.FlatForward(settlementDate, 0.00, ql.Actual365Fixed())
# good to go
process = ql.BlackScholesMertonProcess(
ql.QuoteHandle(underlying),
ql.YieldTermStructureHandle(dividendYield),
ql.YieldTermStructureHandle(riskFreeRate),
ql.BlackVolTermStructureHandle(volatility),
)
option1 = ql.VanillaOption(process, payoff, exercise1)
option1.setPricingEngine(ql.BaroneAdesiWhaleyEngine())
def f(x, y):
underlying.setValue(x)
volatilityQuote.setValue(y)
return option1.NPV()
def add_data(tvtk_data):
"""Add a TVTK data object `tvtk_data` to the mayavi pipleine.
"""
d = VTKDataSource()
d.data = tvtk_data
mayavi.add_source(d)
return d
def get_option_greeks(**kwargs):
# risk_free_rate and volatility in whole points not percentage points
# for example enter 0.02 for 2 percent interest rate
# enter 0.25 for 25 percent annual volatility
underlying = kwargs['underlying']
strike = kwargs['strike']
risk_free_rate = kwargs['risk_free_rate']
expiration_date = kwargs['expiration_date']
calculation_date = kwargs['calculation_date']
option_type = kwargs['option_type'].upper()
exercise_type = kwargs['exercise_type'].upper()
dividend_rate = 0
expiration_datetime = cu.convert_doubledate_2datetime(expiration_date)
calculation_datetime = cu.convert_doubledate_2datetime(calculation_date)
expiration_date_obj = ql.Date(expiration_datetime.day, expiration_datetime.month, expiration_datetime.year)
calculation_date_obj = ql.Date(calculation_datetime.day, calculation_datetime.month, calculation_datetime.year)
cal_dte = day_count_obj.dayCount(calculation_date_obj, expiration_date_obj)
nan_greeks = {'option_price': np.NaN,
'implied_vol': np.NaN,
'delta': np.NaN,
'vega': np.NaN,
'theta': np.NaN,
'cal_dte': cal_dte,
'gamma': np.NaN}
if 'option_price' in kwargs.keys():
if option_type == 'C':
if kwargs['option_price']+strike-underlying <= 10**(-12):
nan_greeks['delta'] = 1
return nan_greeks
elif option_type == 'P':
if kwargs['option_price']-strike+underlying <= 10**(-12):
nan_greeks['delta'] = -1
return nan_greeks
if cal_dte == 0:
if option_type == 'C':
if strike <= underlying:
nan_greeks['delta'] = 1
else:
nan_greeks['delta'] = 0
elif option_type == 'P':
if strike >= underlying:
nan_greeks['delta'] = -1
else:
nan_greeks['delta'] = 0
return nan_greeks
if 'implied_vol' in kwargs.keys():
implied_vol = kwargs['implied_vol']
else:
implied_vol = 0.15
if 'engine_name' in kwargs.keys():
engine_name = kwargs['engine_name']
else:
engine_name = 'baw'
if option_type == 'C':
option_type_obj = ql.Option.Call
elif option_type == 'P':
option_type_obj = ql.Option.Put
ql.Settings.instance().evaluationDate = calculation_date_obj
if exercise_type == 'E':
exercise_obj = ql.EuropeanExercise(expiration_date_obj)
elif exercise_type == 'A':
exercise_obj = ql.AmericanExercise(calculation_date_obj, expiration_date_obj)
#print('years to expitation: ' + str(day_count_obj.yearFraction(calculation_date_obj, expiration_date_obj)))
#print('spot: ' + str(underlying/m.exp(day_count_obj.yearFraction(calculation_date_obj, expiration_date_obj)*risk_free_rate)))
#underlying_obj = ql.QuoteHandle(ql.SimpleQuote(underlying/m.exp(day_count_obj.yearFraction(calculation_date_obj, expiration_date_obj)*risk_free_rate)))
underlying_obj = ql.QuoteHandle(ql.SimpleQuote(underlying))
flat_ts_obj = ql.YieldTermStructureHandle(ql.FlatForward(calculation_date_obj, risk_free_rate, day_count_obj))
dividend_yield_obj = ql.YieldTermStructureHandle(ql.FlatForward(calculation_date_obj, dividend_rate, day_count_obj))
flat_vol_ts_obj = ql.BlackVolTermStructureHandle(ql.BlackConstantVol(calculation_date_obj, calendar_obj, implied_vol, day_count_obj))
#bsm_process = ql.BlackScholesMertonProcess(underlying_obj, dividend_yield_obj, flat_ts_obj, flat_vol_ts_obj)
bsm_process = ql.BlackProcess(underlying_obj, flat_ts_obj, flat_vol_ts_obj)
payoff = ql.PlainVanillaPayoff(option_type_obj, strike)
option_obj = ql.VanillaOption(payoff, exercise_obj)
if (engine_name == 'baw')&(exercise_type == 'A'):
option_obj.setPricingEngine(ql.BaroneAdesiWhaleyEngine(bsm_process))
elif (engine_name == 'fda')&(exercise_type == 'A'):
option_obj.setPricingEngine(ql.FDAmericanEngine(bsm_process, 100, 100))
elif exercise_type == 'E':
option_obj.setPricingEngine(ql.AnalyticEuropeanEngine(bsm_process))
option_price = option_obj.NPV()
if 'option_price' in kwargs.keys():
try:
implied_vol = option_obj.impliedVolatility(targetValue=kwargs['option_price'], process=bsm_process,accuracy=0.00001)
flat_vol_ts_obj = ql.BlackVolTermStructureHandle(ql.BlackConstantVol(calculation_date_obj, calendar_obj, implied_vol, day_count_obj))
#bsm_process = ql.BlackScholesMertonProcess(underlying_obj, dividend_yield_obj, flat_ts_obj, flat_vol_ts_obj)
bsm_process = ql.BlackProcess(underlying_obj, flat_ts_obj, flat_vol_ts_obj)
if (engine_name == 'baw')&(exercise_type == 'A'):
option_obj.setPricingEngine(ql.BaroneAdesiWhaleyEngine(bsm_process))
elif (engine_name == 'fda')&(exercise_type == 'A'):
option_obj.setPricingEngine(ql.FDAmericanEngine(bsm_process, 100, 100))
elif exercise_type == 'E':
option_obj.setPricingEngine(ql.AnalyticEuropeanEngine(bsm_process))
option_price = option_obj.NPV()
except Exception:
return nan_greeks
option_obj = ql.VanillaOption(payoff, ql.EuropeanExercise(expiration_date_obj))
option_obj.setPricingEngine(ql.AnalyticEuropeanEngine(bsm_process))
return {'option_price': option_price,
'implied_vol': implied_vol,
'delta': option_obj.delta(),
'vega': option_obj.vega(),
'theta': option_obj.thetaPerDay(),
'cal_dte': cal_dte,
'gamma': option_obj.gamma()}
# Option Process
process = ql.BlackScholesMertonProcess(
ql.QuoteHandle(S),
ql.YieldTermStructureHandle(q),
ql.YieldTermStructureHandle(r),
ql.BlackVolTermStructureHandle(v),
)
option = ql.VanillaOption(payoff, exercise)
refValue = $reference value$
report("reference value", refValue)
# method - analytic
option.setPricingEngine(ql.BaroneAdesiWhaleyEngine(process))
report("Barone-Adesi-Whaley", option.NPV())
option.setPricingEngine(ql.BjerksundStenslandEngine(process))
report("Bjerksund-Stensland", option.NPV())
# method - finite differences
timeSteps = 801
gridPoints = 800
option.setPricingEngine(ql.FDAmericanEngine(process, timeSteps, gridPoints))
report("finite differences", option.NPV())
# method - binomial
timeSteps = 801
