def create_helper():
calendar = TARGET()
todays_date = Date(15, May, 2007)
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
flat_rate = SimpleQuote(0.01)
ts_curve = FlatForward(todays_date, flat_rate, Actual365Fixed())
recovery_rate = 0.5
quoted_spreads = 0.0150
tenor = Period(5, Years)
helper = SpreadCdsHelper(quoted_spreads,
tenor,
0,
calendar,
Quarterly,
Following,
Rule.TwentiethIMM,
Actual365Fixed(),
recovery_rate,
ts_curve,
model=PricingModel.Midpoint)
return todays_date, helper
def test_create_interpolated_hazard(self):
Settings.instance().evaluation_date = self.todays_date
dates = [self.todays_date + Period(i, Years) for i in [3, 5, 7]]
hazard_rates = [0.01, 0.03, 0.05]
interpolation_date = self.todays_date + Period(4, Years)
trait = Interpolator.Linear
interpolated_curve = InterpolatedHazardRateCurve(
trait, dates, hazard_rates, Actual365Fixed())
t0 = interpolated_curve.time_from_reference(dates[0])
t1 = interpolated_curve.time_from_reference(interpolation_date)
t2 = interpolated_curve.time_from_reference(dates[1])
interpolated_value = hazard_rates[0] + (t1-t0) /(t2-t0) * \
(hazard_rates[1] - hazard_rates[0])
self.assertAlmostEqual(
interpolated_value,
interpolated_curve.hazard_rate(interpolation_date))
trait = Interpolator.BackwardFlat
interpolated_curve = InterpolatedHazardRateCurve(
trait, dates, hazard_rates, Actual365Fixed())
interpolated_value = hazard_rates[1]
self.assertAlmostEqual(
interpolated_value,
interpolated_curve.hazard_rate(interpolation_date))
trait = Interpolator.LogLinear
interpolated_curve = InterpolatedHazardRateCurve(
trait, dates, hazard_rates, Actual365Fixed())
with self.assertRaisesRegexp(
RuntimeError, 'LogInterpolation primitive not implemented'):
hazard_rate = interpolated_curve.hazard_rate(interpolation_date)
def setUp(self):
atm_option_tenors = [Period(1, Months), Period(6, Months)] + \
[Period(i, Years) for i in [1, 5, 10, 30]]
atm_swap_tenors = [Period(1, Years), Period(5, Years), Period(10, Years),
Period(30, Years)]
m = np.array([[.1300, .1560, .1390, .1220],
[.1440, .1580, .1460, .1260],
[.1600, .1590, .1470, .1290],
[.1640, .1470, .1370, .1220],
[.1400, .1300, .1250, .1100],
[.1130, .1090, .1070, .0930]])
M = Matrix.from_ndarray(m)
calendar = UnitedStates()
self.atm_vol = SwaptionVolatilityMatrix(calendar,
Following,
atm_option_tenors,
atm_swap_tenors,
M,
Actual365Fixed())
reference_date = calendar.adjust(today())
Settings().evaluation_date = reference_date
self.term_structure = FlatForward(reference_date, 0.05, Actual365Fixed())
self.swap_index = EuriborSwapIsdaFixA(Period(10, Years),
forwarding=self.term_structure)
def example03():
print("example 3:\n")
todays_date = Date(13, 6, 2011)
Settings.instance().evaluation_date = todays_date
quotes = [0.00445, 0.00949, 0.01234, 0.01776, 0.01935, 0.02084]
tenors = [1, 2, 3, 6, 9, 12]
calendar = WeekendsOnly()
deps = [
DepositRateHelper(q, Period(t, Months), 2, calendar, ModifiedFollowing,
False, Actual360()) for q, t in zip(quotes, tenors)
]
quotes = [
0.01652, 0.02018, 0.02303, 0.02525, 0.0285, 0.02931, 0.03017, 0.03092,
0.03160, 0.03231, 0.03367, 0.03419, 0.03411, 0.03411, 0.03412
]
tenors = [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 20, 25, 30]
swaps = [
SwapRateHelper.from_tenor(q, Period(t, Years), calendar, Annual,
ModifiedFollowing, Thirty360(), Euribor6M(),
SimpleQuote(0))
for q, t in zip(quotes, tenors)
]
yield_helpers = deps + swaps
isda_yts = PiecewiseYieldCurve(BootstrapTrait.Discount,
Interpolator.LogLinear, 0, WeekendsOnly(),
yield_helpers, Actual365Fixed())
spreads = [0.007927, 0.012239, 0.016979, 0.019271, 0.020860]
tenors = [1, 3, 5, 7, 10]
spread_helpers = [SpreadCdsHelper(0.007927, Period(6, Months), 1,
WeekendsOnly(), Quarterly, Following, Rule.CDS2015,
Actual360(), 0.4, isda_yts, True, True,
Date(), Actual360(True), True, PricingModel.ISDA)] + \
[SpreadCdsHelper(s, Period(t, Years), 1, WeekendsOnly(), Quarterly, Following, Rule.CDS2015,
Actual360(), 0.4, isda_yts, True, True, Date(), Actual360(True), True,
PricingModel.ISDA)
for s, t in zip(spreads, tenors)]
isda_cts = PiecewiseDefaultCurve(ProbabilityTrait.SurvivalProbability,
Interpolator.LogLinear, 0, WeekendsOnly(),
spread_helpers, Actual365Fixed())
isda_pricer = IsdaCdsEngine(isda_cts, 0.4, isda_yts)
print("Isda yield curve:")
for h in yield_helpers:
d = h.latest_date
t = isda_yts.time_from_reference(d)
print(d, t, isda_yts.zero_rate(d, Actual365Fixed()).rate)
print()
print("Isda credit curve:")
for h in spread_helpers:
d = h.latest_date
t = isda_cts.time_from_reference(d)
print(d, t, isda_cts.survival_probability(d))
def test_create_flat_hazard(self):
Settings.instance().evaluation_date = self.todays_date
flat_curve = FlatHazardRate(2, self.calendar, 0.05, Actual365Fixed())
flat_curve_from_reference_date = FlatHazardRate.from_reference_date(
self.calendar.advance(self.todays_date, 2, Days), 0.05, Actual365Fixed())
self.assertIsNotNone(flat_curve)
self.assertIsNotNone(flat_curve_from_reference_date)
self.assertEqual(flat_curve.time_from_reference(self.d),
flat_curve_from_reference_date.time_from_reference(self.d))
self.assertAlmostEqual(flat_curve.hazard_rate(self.d), 0.05)
self.assertAlmostEqual(flat_curve.survival_probability(self.d),
math.exp(-0.05*flat_curve.time_from_reference(self.d)))
def setUp(self):
atm_option_tenors = [Period(1, Months), Period(6, Months)] + \
[Period(i, Years) for i in [1, 5, 10, 30]]
atm_swap_tenors = [Period(1, Years), Period(5, Years),
Period(10, Years), Period(30, Years)]
m = np.array([[.1300, .1560, .1390, .1220],
[.1440, .1580, .1460, .1260],
[.1600, .1590, .1470, .1290],
[.1640, .1470, .1370, .1220],
[.1400, .1300, .1250, .1100],
[.1130, .1090, .1070, .0930]])
M = Matrix.from_ndarray(m)
calendar = UnitedStates()
self.atm_vol_matrix = SwaptionVolatilityMatrix(calendar,
Following,
atm_option_tenors,
atm_swap_tenors,
M,
Actual365Fixed())
term_structure = FlatForward(forward=0.05, settlement_days=2, calendar=calendar,
daycounter=Actual365Fixed())
self.swap_index_base = EuriborSwapIsdaFixA(Period(2, Years),
term_structure)
self.short_swap_index_base = EuriborSwapIsdaFixA(Period(1, Years),
term_structure)
self.vega_weighted_smile_fit = False
class Cube:
def __init__(self):
self.option_tenors = [Period(1, Years), Period(10, Years), Period(30, Years)]
self.swap_tenors = [Period(2, Years), Period(10, Years), Period(30, Years)]
self.strike_spreads = [-0.02, -0.005, 0, 0.005, 0.02]
self.vol_spreads = np.array([[0.0599, 0.0049, 0.0000, -0.0001, 0.0127],
[0.0729, 0.0086, 0.0000, -0.0024, 0.0098],
[0.0738, 0.0102, 0.0000, -0.0039, 0.0065],
[0.0465, 0.0063, 0.0000, -0.0032, -0.0010],
[0.0558, 0.0084, 0.0000, -0.0050, -0.0057],
[0.0576, 0.0083, 0.0000, -0.0043, -0.0014],
[0.0437, 0.0059, 0.0000, -0.0030, -0.0006],
[0.0533, 0.0078, 0.0000, -0.0045, -0.0046],
[0.0545, 0.0079, 0.0000, -0.0042, -0.0020]])
self.vol_spreads_handle = []
for vs in self.vol_spreads:
self.vol_spreads_handle.append([SimpleQuote(v) for v in vs])
self.cube = Cube()
def test_create_libor_index(self):
settings = Settings.instance()
# Market information
calendar = UnitedStates(LiborImpact)
# must be a business day
eval_date = calendar.adjust(today())
settings.evaluation_date = eval_date
settlement_days = 2
settlement_date = calendar.advance(eval_date, settlement_days, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
term_structure = YieldTermStructure(relinkable=True)
term_structure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
index = Libor('USDLibor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(), term_structure)
default_libor = USDLibor(Period(6, Months))
for attribute in [
"business_day_convention", "end_of_month", "fixing_calendar",
"joint_calendar", "tenor", "fixing_days", "day_counter",
"family_name", "name"
]:
self.assertEqual(getattr(index, attribute),
getattr(default_libor, attribute))
def test_discount_curve(self):
settings = Settings()
settings.evaluation_date = Date(6, 10, 2016)
# Market information
calendar = TARGET()
quotes = [SimpleQuote(0.0096), SimpleQuote(0.0145), SimpleQuote(0.0194)]
tenors = [3, 6, 12]
deposit_day_counter = Actual365Fixed()
convention = ModifiedFollowing
end_of_month = True
fixing_days = 3
rate_helpers = [DepositRateHelper(
quote, Period(month, Months), fixing_days, calendar, convention, end_of_month,
deposit_day_counter) for quote, month in zip(quotes, tenors)]
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve(
BootstrapTrait.ForwardRate, Interpolator.BackwardFlat, 2, calendar, rate_helpers,
ts_day_counter, tolerance
)
dates = [rh.latest_date for rh in rate_helpers]
dfs = [ts.discount(d) for d in dates]
dates.insert(0, ts.reference_date)
dfs.insert(0, 1)
ts_discount = DiscountCurve(dates, dfs, ts_day_counter, calendar)
self.assertTrue(ts.discount(0.75), ts_discount.discount(0.75))
def test_piecewise_methods(self):
for trait in ProbabilityTrait:
for interpolator in Interpolator:
curve = PiecewiseDefaultCurve.from_reference_date(
trait,
interpolator,
reference_date=self.todays_date,
helpers=[self.helper],
daycounter=Actual365Fixed())
if interpolator == Interpolator.LogLinear and \
trait in [ProbabilityTrait.HazardRate, ProbabilityTrait.DefaultDensity]:
with self.assertRaisesRegexp(
RuntimeError,
'LogInterpolation primitive not implemented'):
curve.survival_probability(self.d)
else:
self.assertEqual(
curve.survival_probability(self.d),
curve.survival_probability(
curve.time_from_reference(self.d)))
self.assertEqual(
curve.hazard_rate(self.d),
curve.hazard_rate(curve.time_from_reference(self.d)))
def test_bump_yieldcurve(self):
settings = Settings()
settings.evaluation_date = Date(6, 10, 2016)
# Market information
calendar = TARGET()
quotes = [SimpleQuote(0.0096), SimpleQuote(0.0145), SimpleQuote(0.0194)]
tenors = [3, 6, 12]
deposit_day_counter = Actual365Fixed()
convention = ModifiedFollowing
end_of_month = True
fixing_days = 3
rate_helpers = [DepositRateHelper(
quote, Period(month, Months), fixing_days, calendar, convention, end_of_month,
deposit_day_counter) for quote, month in zip(quotes, tenors)]
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve(
BootstrapTrait.Discount, Interpolator.LogLinear, 2, calendar, rate_helpers,
ts_day_counter, tolerance
)
old_discount = ts.discount(ts.max_date)
# parallel shift of 1 bps
for rh in rate_helpers:
rh.quote.value += 1e-4
self.assertEqual([q.value for q in quotes], [rh.quote.value for rh in rate_helpers])
new_discount = ts.discount(ts.max_date)
self.assertTrue(new_discount < old_discount)
def setUp(self):
""""""
self.today = today()
self.settings = Settings()
self.settings.evaluation_date = self.today
self.dc = Actual365Fixed()
self.spot = SimpleQuote(0.0)
self.q_rate = SimpleQuote(0.0)
self.q_ts = FlatForward(self.today, self.q_rate, self.dc)
self.r_rate = SimpleQuote(0.0)
self.r_ts = FlatForward(self.today, self.r_rate, self.dc)
self.values = {
'type': SwapType.Long,
'strike': 0.04,
'nominal': 50000,
's': 100.0,
'q': 0.00,
'r': 0.05,
't': 0.246575,
'v': 0.20,
'result': 0.04189,
'tol': 1.0e-4,
}
self.spot.value = self.values['s']
self.q_rate.value = self.values['q']
self.r_rate.value = self.values['r']
self.ex_date = self.today + int(self.values['t'] * 365 + 0.5)
def test_create_swap_index(self):
settings = Settings.instance()
# Market information
calendar = TARGET()
# must be a business day
eval_date = calendar.adjust(today())
settings.evaluation_date = eval_date
settlement_days = 2
settlement_date = calendar.advance(eval_date, settlement_days, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
term_structure = YieldTermStructure(relinkable=True)
term_structure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
ibor_index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(),
term_structure)
index = SwapIndex('family name', Period(3, Months), 10, USDCurrency(),
TARGET(), Period(12, Months), Following, Actual360(),
ibor_index)
self.assertIsNotNone(index)
def setUp(self):
Settings.instance().evaluation_date = Date(26, 5, 2021)
self.basis_point = 1.0e-4
self.settlement_days = 2
self.business_day_convention = Following
self.calendar = TARGET()
self.day_count = Actual365Fixed()
self.end_of_month = False
base_ccy_idx_handle = flat_rate(0.007)
quoted_ccy_idx_handle = flat_rate(0.015)
self.base_ccy_idx = Euribor3M(base_ccy_idx_handle)
self.quote_ccy_idx = USDLibor(
Period(3, Months), quoted_ccy_idx_handle)
self.collateral_ccy_handle = flat_rate(0.009)
# Cross currency basis swaps data source:
# N. Moreni, A. Pallavicini (2015)
# FX Modelling in Collateralized Markets: foreign measures, basis curves
# and pricing formulae.
# section 4.2.1, Table 2.
self.cross_currency_basis_quotes = ((Period(1, Years), -14.5),
(Period(18, Months), -18.5),
(Period(2, Years), -20.5),
(Period(3, Years), -23.75),
(Period(4, Years), -25.5),
(Period(5, Years), -26.5),
(Period(7, Years), -26.75),
(Period(10, Years), -26.25),
(Period(15, Years), -24.75),
(Period(20, Years), -23.25),
(Period(30, Years), -20.50))
def test_clean_price(self):
notional = 1000000.0
fixed_rates = [0.1]
fixed_day_count = Actual365Fixed()
fixed_calendar = self.calendar
fixed_index = self.ii
contractObservationLag = Period(3, Months)
observationInterpolation = InterpolationType.Flat
settlement_days = 3
growth_only = True
baseCPI = 206.1
fixed_schedule = Schedule.from_rule(Date(2, 10,
2007), Date(2, 10, 2052),
Period(6, Months), fixed_calendar,
Unadjusted, Rule.Backward)
cpi_bond = CPIBond(settlement_days, notional, growth_only, baseCPI,
contractObservationLag, fixed_index,
observationInterpolation, fixed_schedule,
fixed_rates, fixed_day_count, ModifiedFollowing)
engine = DiscountingBondEngine(self.yts)
cpi_bond.set_pricing_engine(engine)
set_coupon_pricer(cpi_bond.cashflows, CPICouponPricer(self.yts))
storedPrice = 383.01816406
calculated = cpi_bond.clean_price
self.assertAlmostEqual(storedPrice, calculated)
def test_create_libor_index(self):
settings = Settings.instance()
# Market information
calendar = TARGET()
# must be a business day
eval_date = calendar.adjust(today())
settings.evaluation_date = eval_date
settlement_days = 2
settlement_date = calendar.advance(eval_date, settlement_days, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
term_structure = YieldTermStructure(relinkable=True)
term_structure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(), term_structure)
t = index.tenor
self.assertEquals(t.length, 6)
self.assertEquals(t.units, 2)
self.assertEquals('USD Libor6M Actual/360', index.name)
def example02():
print("example 2:\n")
todays_date = Date(25, 9, 2014)
Settings.instance().evaluation_date = todays_date
calendar = TARGET()
term_date = calendar.adjust(todays_date + Period(2, Years), Following)
cds_schedule = Schedule(todays_date, term_date, Period(Quarterly),
WeekendsOnly(), ModifiedFollowing,
ModifiedFollowing,
date_generation_rule=Rule.CDS)
for date in cds_schedule:
print(date)
print()
todays_date = Date(21, 10, 2014)
Settings.instance().evaluation_date = todays_date
quotes = [0.00006, 0.00045, 0.00081, 0.001840, 0.00256, 0.00337]
tenors = [1, 2, 3, 6, 9, 12]
deps = [DepositRateHelper(q, Period(t, Months), 2, calendar, ModifiedFollowing, False, Actual360())
for q, t in zip(quotes, tenors)]
tenors = [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 20, 30]
quotes = [0.00223, 0.002760, 0.003530, 0.004520, 0.005720, 0.007050, 0.008420, 0.009720, 0.010900,
0.012870, 0.014970, 0.017, 0.01821]
swaps = [SwapRateHelper.from_tenor(q, Period(t, Years),
calendar, Annual, ModifiedFollowing,
Thirty360(), Euribor6M(), SimpleQuote(0))
for q, t in zip(quotes, tenors)]
helpers = deps + swaps
YC = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount, Interpolator.LogLinear,
todays_date, helpers, Actual365Fixed())
YC.extrapolation = True
print("ISDA rate curve:")
for h in helpers:
print("{0}: {1:.6f}\t{2:.6f}".format(h.latest_date,
YC.zero_rate(h.latest_date, Actual365Fixed(), 2).rate,
YC.discount(h.latest_date)))
defaultTs0 = FlatHazardRate(0, WeekendsOnly(), 0.016739207493630, Actual365Fixed())
cds_schedule = Schedule.from_rule(Date(22, 9, 2014), Date(20, 12, 2019), Period(3, Months),
WeekendsOnly(), Following, Unadjusted, Rule.CDS, False)
nominal = 100000000
trade = CreditDefaultSwap(Side.Buyer, nominal, 0.01, cds_schedule, Following,
Actual360(), True, True, Date(22, 10, 2014), Actual360(True), True)
engine = IsdaCdsEngine(defaultTs0, 0.4, YC, False)
trade.set_pricing_engine(engine)
print("reference trade NPV = {0}\n".format(trade.npv))
def test_flat_hazard_with_quote(self):
Settings.instance().evaluation_date = self.todays_date
hazard_rate = SimpleQuote()
flat_curve = FlatHazardRate(2, self.calendar, hazard_rate, Actual365Fixed())
for h in [0.01, 0.02, 0.03]:
hazard_rate.value = h
self.assertAlmostEqual(flat_curve.survival_probability(self.d),
math.exp(-h * flat_curve.time_from_reference(self.d)))
def flat_rate(rate, dc=Actual365Fixed(), reference_date=None):
if reference_date is None:
return FlatForward(settlement_days=0,
calendar=NullCalendar(),
forward=rate,
daycounter=dc)
else:
return FlatForward(reference_date, rate, dc)
def test_creation(self):
settings = Settings()
# Market information
calendar = TARGET()
# must be a business day
settings.evaluation_date = calendar.adjust(today())
settlement_date = Date(18, September, 2008)
# must be a business day
settlement_date = calendar.adjust(settlement_date);
quotes = [SimpleQuote(0.0096), SimpleQuote(0.0145), SimpleQuote(0.0194)]
tenors = [3, 6, 12]
rate_helpers = []
calendar = TARGET()
deposit_day_counter = Actual365Fixed()
convention = ModifiedFollowing
end_of_month = True
for quote, month in zip(quotes, tenors):
tenor = Period(month, Months)
fixing_days = 3
helper = DepositRateHelper(
quote, tenor, fixing_days, calendar, convention, end_of_month,
deposit_day_counter
)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve[BootstrapTrait.Discount, LogLinear].from_reference_date(
settlement_date, rate_helpers,
ts_day_counter, accuracy=tolerance
)
self.assertIsNotNone(ts)
self.assertEqual( Date(18, September, 2008), ts.reference_date)
# this is not a real test ...
self.assertAlmostEqual(0.9975, ts.discount(Date(21, 12, 2008)), 4)
self.assertAlmostEqual(0.9944, ts.discount(Date(21, 4, 2009)), 4)
self.assertAlmostEqual(0.9904, ts.discount(Date(21, 9, 2009)), 4)
dates, dfs = zip(*ts.nodes)
self.assertAlmostEqual(list(dates), ts.dates)
self.assertAlmostEqual(list(dfs), ts.data)
def test_creation(self):
settlement_date = Date(1, January, 2014)
term_structure = YieldTermStructure()
term_structure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
index = USDLibor(Period(3, Months), term_structure)
self.assertEqual(index.name, 'USDLibor3M Actual/360')
def setUp(self):
Settings().evaluation_date = Date(27, 4, 2018)
self.yc = FlatForward(forward=0.03, settlement_days=2,
daycounter=Actual365Fixed(),
calendar=UnitedStates())
self.index = UsdLiborSwapIsdaFixAm(Period(10, Years), self.yc)
self.factory = (MakeSwaption(self.index, Period(2, Years), strike=0.0206).
with_underlying_type(Receiver).
with_settlement_type(Cash).
with_settlement_method(ParYieldCurve))
def test_creation(self):
settlement_date = Date(1, January, 2014)
term_structure = YieldTermStructure(relinkable=True)
term_structure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
# Makes sure the constructor does not segfault anymore ;-)
index = Euribor6M(term_structure)
self.assertEquals(index.name, 'Euribor6M Actual/360')
def test_hull_white_calibration(self):
"""
Adapted from ShortRateModelTest::testCachedHullWhite()
"""
today = Date(15, February, 2002)
settlement = Date(19, February, 2002)
self.settings.evaluation_date = today
yield_ts = FlatForward(settlement,
forward=0.04875825,
settlement_days=0,
calendar=NullCalendar(),
daycounter=Actual365Fixed())
model = HullWhite(yield_ts, a=0.05, sigma=.005)
data = [[1, 5, 0.1148 ],
[2, 4, 0.1108 ],
[3, 3, 0.1070 ],
[4, 2, 0.1021 ],
[5, 1, 0.1000 ]]
index = Euribor6M(yield_ts)
engine = JamshidianSwaptionEngine(model)
swaptions = []
for start, length, volatility in data:
vol = SimpleQuote(volatility)
helper = SwaptionHelper(Period(start, Years),
Period(length, Years),
vol,
index,
Period(1, Years), Thirty360(),
Actual360(), yield_ts)
helper.set_pricing_engine(engine)
swaptions.append(helper)
# Set up the optimization problem
om = LevenbergMarquardt(1.0e-8, 1.0e-8, 1.0e-8)
endCriteria = EndCriteria(10000, 100, 1e-6, 1e-8, 1e-8)
model.calibrate(swaptions, om, endCriteria)
print('Hull White calibrated parameters:\na: %f sigma: %f' %
(model.a, model.sigma))
cached_a = 0.0464041
cached_sigma = 0.00579912
tolerance = 1.0e-5
self.assertAlmostEqual(cached_a, model.a, delta=tolerance)
self.assertAlmostEqual(cached_sigma, model.sigma, delta=tolerance)
def setUp(self):
self.settings = Settings()
self.calendar = TARGET()
self.todays_date = Date(15, May, 1998)
self.settlement_date = Date(17, May, 1998)
self.settings.evaluation_date = self.todays_date
# options parameters
self.option_type = Put
self.underlying = 36
self.strike = 40
self.dividend_yield = 0.00
self.risk_free_rate = 0.06
self.volatility = 0.20
self.maturity = Date(17, May, 1999)
self.daycounter = Actual365Fixed()
self.underlyingH = SimpleQuote(self.underlying)
# bootstrap the yield/dividend/vol curves
self.flat_term_structure = FlatForward(
reference_date=self.settlement_date,
forward=self.risk_free_rate,
daycounter=self.daycounter)
self.flat_dividend_ts = FlatForward(
reference_date=self.settlement_date,
forward=self.dividend_yield,
daycounter=self.daycounter)
self.flat_vol_ts = BlackConstantVol(self.settlement_date,
self.calendar, self.volatility,
self.daycounter)
self.black_scholes_merton_process = BlackScholesMertonProcess(
self.underlyingH, self.flat_dividend_ts, self.flat_term_structure,
self.flat_vol_ts)
self.payoff = PlainVanillaPayoff(self.option_type, self.strike)
#Additional parameters for testing DividendVanillaOption
self.dividend_dates = []
self.dividends = []
self.american_time_steps = 600
self.american_grid_points = 600
#Parameters for implied volatility:
self.accuracy = 0.001
self.max_evaluations = 1000
self.min_vol = 0.001
self.max_vol = 4
self.target_price = 4.485992
def test_create_piecewise(self):
for trait in ProbabilityTrait:
for interpolator in Interpolator:
curve = PiecewiseDefaultCurve.from_reference_date(
trait,
interpolator,
reference_date=self.todays_date,
helpers=[self.helper],
daycounter=Actual365Fixed())
self.assertIsNotNone(curve)
def test_methods(self):
Settings.instance().evaluation_date = self.todays_date
dates = [self.todays_date + Period(i, Years) for i in [3, 5, 7]]
hazard_rates = [0.01, 0.03, 0.05]
for trait in [Interpolator.BackwardFlat, Interpolator.Linear]:
interpolated_curve = InterpolatedHazardRateCurve(
trait, dates, hazard_rates, Actual365Fixed())
self.assertEqual(dates, interpolated_curve.dates)
self.assertEqual(interpolated_curve.data,
interpolated_curve.hazard_rates)
def dfToZeroCurve(df_rates, dtSettlement, daycounter=Actual365Fixed()):
"""
Convert a panda data frame into a QL zero curve
"""
dates = [dateToQLDate(dt) for dt in df_rates.index]
dates.insert(0, dateToQLDate(dtSettlement))
dates.append(dates[-1] + 365 * 2)
vx = list(df_rates.values)
vx.insert(0, vx[0])
vx.append(vx[-1])
return ZeroCurve(dates, vx, daycounter)
def test_creation(self):
settings = Settings()
# Market information
calendar = TARGET()
# must be a business day
settings.evaluation_date = calendar.adjust(today())
settlement_date = Date(18, September, 2008)
# must be a business day
settlement_date = calendar.adjust(settlement_date);
quotes = [0.0096, 0.0145, 0.0194]
tenors = [3, 6, 12]
rate_helpers = []
calendar = TARGET()
deposit_day_counter = Actual365Fixed()
convention = ModifiedFollowing
end_of_month = True
for quote, month in zip(quotes, tenors):
tenor = Period(month, Months)
fixing_days = 3
helper = DepositRateHelper(
quote, tenor, fixing_days, calendar, convention, end_of_month,
deposit_day_counter
)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = term_structure_factory(
'discount', 'loglinear', settlement_date, rate_helpers,
ts_day_counter, tolerance
)
self.assertIsNotNone(ts)
self.assertEquals( Date(18, September, 2008), ts.reference_date)
# this is not a real test ...
self.assertAlmostEquals(0.9975, ts.discount(Date(21, 12, 2008)), 4)
self.assertAlmostEquals(0.9944, ts.discount(Date(21, 4, 2009)), 4)
self.assertAlmostEquals(0.9904, ts.discount(Date(21, 9, 2009)), 4)
def test_relativedate_rate_helper(self):
tenor = Period(3, Months)
fixing_days = 3
calendar = TARGET()
convention = ModifiedFollowing
end_of_month = True
deposit_day_counter = Actual365Fixed()
helper = DepositRateHelper(0.005, tenor, fixing_days, calendar,
convention, end_of_month,
deposit_day_counter)
Settings.instance().evaluation_date = Date(8, 6, 2016)
self.assertEqual(helper.latest_date, Date(13, 9, 2016))
def test_bucket_analysis_option(self):
settings = Settings()
calendar = TARGET()
todays_date = Date(15, May, 1998)
settlement_date = Date(17, May, 1998)
settings.evaluation_date = todays_date
option_type = Put
underlying = 40
strike = 40
dividend_yield = 0.00
risk_free_rate = 0.001
volatility = 0.20
maturity = Date(17, May, 1999)
daycounter = Actual365Fixed()
underlyingH = SimpleQuote(underlying)
payoff = PlainVanillaPayoff(option_type, strike)
flat_term_structure = FlatForward(reference_date=settlement_date,
forward=risk_free_rate,
daycounter=daycounter)
flat_dividend_ts = FlatForward(reference_date=settlement_date,
forward=dividend_yield,
daycounter=daycounter)
flat_vol_ts = BlackConstantVol(settlement_date, calendar, volatility,
daycounter)
black_scholes_merton_process = BlackScholesMertonProcess(
underlyingH, flat_dividend_ts, flat_term_structure, flat_vol_ts)
european_exercise = EuropeanExercise(maturity)
european_option = VanillaOption(payoff, european_exercise)
analytic_european_engine = AnalyticEuropeanEngine(
black_scholes_merton_process)
european_option.set_pricing_engine(analytic_european_engine)
ba_eo = bucket_analysis([[underlyingH]], [european_option], [1], 0.50,
1)
self.assertTrue(2, ba_eo)
self.assertTrue(type(tuple), ba_eo)
self.assertEqual(1, len(ba_eo[0][0]))
self.assertAlmostEqual(-0.4582666150152517, ba_eo[0][0][0])