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 test_extrapolation(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date,
rate_helpers,
ts_day_counter, tolerance)
# max_date raises an exception without extrapolaiton...
self.assertFalse(ts.extrapolation)
with self.assertRaises(RuntimeError) as ctx:
ts.discount(ts.max_date + 1)
self.assertTrue(
str(ctx.exception) in (
"time (30.011) is past max curve time (30.0082)",
"1st iteration: failed at 2nd alive instrument"))
def test_zero_curve(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve('discount',
'loglinear',
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
# max_date raises an exception...
ts.extrapolation = True
zr = ts.zero_rate(Date(10, 5, 2027), ts_day_counter, 2)
self.assertAlmostEqual(zr.rate, 0.0539332)
def test_zero_curve(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date,
rate_helpers,
ts_day_counter, tolerance)
# max_date raises an exception...
ts.extrapolation = True
zr = ts.zero_rate(Date(10, 5, 2027), ts_day_counter, 2)
self.assertAlmostEqual(zr.rate, 0.0539332, 6)
def test_extrapolation(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
# max_date raises an exception without extrapolaiton...
self.assertFalse(ts.extrapolation)
def test_extrapolation(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve('discount',
'loglinear',
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
# max_date raises an exception without extrapolaiton...
self.assertFalse(ts.extrapolation)
with self.assertRaisesRegexp(RuntimeError,
"1st iteration: failed at 2nd alive instrument"):
dtMax = ts.max_date
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 test_extrapolation(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve('discount', 'loglinear', settlement_date,
rate_helpers, ts_day_counter, tolerance)
# max_date raises an exception without extrapolaiton...
self.assertFalse(ts.extrapolation)
with self.assertRaisesRegexp(
RuntimeError, "1st iteration: failed at 2nd alive instrument"):
dtMax = ts.max_date
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);
ibor_index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360())
index = SwapIndex(
'family name', Period(3, Months), 10, USDCurrency(), TARGET(),
Period(12, Months), Following, Actual360(), ibor_index)
self.assertIsNotNone(index)
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 test_extrapolation(self):
rate_helpers = build_helpers()
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
# max_date raises an exception without extrapolaiton...
self.assertFalse(ts.extrapolation)
with self.assertRaises(RuntimeError) as ctx:
ts.discount(ts.max_date + 1)
self.assertTrue(str(ctx.exception) in (
"time (30.011) is past max curve time (30.0082)",
"1st iteration: failed at 2nd alive instrument"))
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.assertEqual(t.length, 6)
self.assertEqual(t.units, 2)
self.assertEqual('USD Libor6M Actual/360', index.name)
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):
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.from_reference_date(
BootstrapTrait.Discount, Interpolator.LogLinear, settlement_date, rate_helpers,
ts_day_counter, 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)
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_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_all_types_of_piecewise_curves(self):
settings = Settings()
# Market information
calendar = TARGET()
todays_date = Date(12, September, 2008)
# must be a business day
settings.evaluation_date = calendar.adjust(todays_date)
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 = []
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)
tolerance = 1.0e-15
for trait in BootstrapTrait:
for interpolation in Interpolator:
ts = PiecewiseYieldCurve.from_reference_date(
trait, interpolation, settlement_date, rate_helpers,
deposit_day_counter, tolerance)
self.assertIsNotNone(ts)
self.assertEqual(Date(18, September, 2008), ts.reference_date)
def test_all_types_of_piecewise_curves(self):
settings = Settings()
# Market information
calendar = TARGET()
todays_date = Date(12, September, 2008)
# must be a business day
settings.evaluation_date = calendar.adjust(todays_date)
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 = []
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)
tolerance = 1.0e-15
for trait in VALID_TRAITS:
for interpolation in VALID_INTERPOLATORS:
ts = PiecewiseYieldCurve(
trait, interpolation, settlement_date, rate_helpers,
deposit_day_counter, tolerance
)
self.assertIsNotNone(ts)
self.assertEqual( Date(18, September, 2008), ts.reference_date)
class FlatHazardRateTestCase(unittest.TestCase):
def setUp(self):
self.calendar = TARGET()
todays_date = Date(15, May, 2007)
self.todays_date = self.calendar.adjust(todays_date)
self.d = self.todays_date + Period(3, Years)
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 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 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 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(3, Months)
helper = SpreadCdsHelper(
quoted_spreads,
tenor,
0,
calendar,
Quarterly,
Following,
TwentiethIMM,
Actual365Fixed(),
recovery_rate,
ts_curve,
)
return todays_date, helper
class FlatHazardRateTestCase(unittest.TestCase):
def setUp(self):
self.calendar = TARGET()
todays_date = Date(15, May, 2007)
self.todays_date = self.calendar.adjust(todays_date)
self.d = self.todays_date + Period(3, Years)
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 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 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)
index = Libor("USD Libor", Period(6, Months), settlement_days, USDCurrency(), calendar, Actual360())
self.assertEquals("USD Libor6M Actual/360", index.name)
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)
index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360())
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 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_deposit_swap(self):
settings = Settings()
# 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);
depositData = [[ 1, Months, 4.581 ],
[ 2, Months, 4.573 ],
[ 3, Months, 4.557 ],
[ 6, Months, 4.496 ],
[ 9, Months, 4.490 ]]
swapData = [[ 1, Years, 4.54 ],
[ 5, Years, 4.99 ],
[ 10, Years, 5.47 ],
[ 20, Years, 5.89 ],
[ 30, Years, 5.96 ]]
rate_helpers = []
end_of_month = True
for m, period, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(rate/100, tenor, settlement_days,
calendar, ModifiedFollowing, end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, rate in swapData:
rate = SimpleQuote(rate/100)
helper = SwapRateHelper(rate, Period(m, Years),
calendar, Annual,
Unadjusted, Thirty360(),
liborIndex, spread, fwdStart)
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)
# this is not a real test ...
self.assertAlmostEquals(0.9103,
ts.discount(calendar.advance(today(), 2, Years)),3)
self.assertAlmostEquals(0.7836,
ts.discount(calendar.advance(today(), 5, Years)),3)
self.assertAlmostEquals(0.5827,
ts.discount(calendar.advance(today(), 10, Years)),3)
self.assertAlmostEquals(0.4223,
ts.discount(calendar.advance(today(), 15, Years)),3)
def test_display(self):
settings = Settings()
# Date setup
calendar = TARGET()
# Settlement date
settlement_date = calendar.adjust(Date(28, January, 2011))
# Evaluation date
fixing_days = 1
settlement_days = 1
todays_date = calendar.advance(
settlement_date, -fixing_days, Days
)
settings.evaluation_date = todays_date
# Bound attributes
face_amount = 100.0
redemption = 100.0
issue_date = Date(27, January, 2011)
maturity_date = Date(31, August, 2020)
coupon_rate = 0.03625
bond_yield = 0.034921
flat_discounting_term_structure = YieldTermStructure()
flat_term_structure = FlatForward(
reference_date = settlement_date,
forward = bond_yield,
daycounter = Actual365Fixed(), #actual_actual.ActualActual(actual_actual.Bond),
compounding = Compounded,
frequency = Semiannual)
# have a look at the FixedRateBondHelper to simplify this
# construction
flat_discounting_term_structure.link_to(flat_term_structure)
#Rate
fixed_bond_schedule = Schedule(
issue_date,
maturity_date,
Period(Semiannual),
UnitedStates(market=GOVERNMENTBOND),
Unadjusted,
Unadjusted,
Backward,
False);
bond = FixedRateBond(
settlement_days,
face_amount,
fixed_bond_schedule,
[coupon_rate],
ActualActual(Bond),
Unadjusted,
redemption,
issue_date
)
d=bf.startDate(bond)
zspd=bf.zSpread(bond, 100.0, flat_term_structure, Actual365Fixed(),
Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5)
#Also need a test case for a PiecewiseTermStructure...
depositData = [[ 1, Months, 4.581 ],
[ 2, Months, 4.573 ],
[ 3, Months, 4.557 ],
[ 6, Months, 4.496 ],
[ 9, Months, 4.490 ]]
swapData = [[ 1, Years, 4.54 ],
[ 5, Years, 4.99 ],
[ 10, Years, 5.47 ],
[ 20, Years, 5.89 ],
[ 30, Years, 5.96 ]]
rate_helpers = []
end_of_month = True
for m, period, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(SimpleQuote(rate/100), tenor, settlement_days,
calendar, ModifiedFollowing, end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(),
YieldTermStructure(relinkable=False))
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, rate in swapData:
helper = SwapRateHelper.from_tenor(
SimpleQuote(rate/100), Period(m, Years), calendar, Annual, Unadjusted, Thirty360(), liborIndex,
spread, fwdStart
)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve.from_reference_date(
BootstrapTrait.Discount, Interpolator.LogLinear, settlement_date, rate_helpers,
ts_day_counter, tolerance)
pyc_zspd=bf.zSpread(bond, 102.0, ts, ActualActual(ISDA),
Compounded, Semiannual, Date(1, April, 2015), 1e-6, 100, 0.5)
pyc_zspd_disco=bf.zSpread(bond, 95.0, ts, ActualActual(ISDA),
Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5)
yld = bf.yld(bond, 102.0, ActualActual(ISDA), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5)
dur = bf.duration(bond, yld, ActualActual(ISDA), Compounded, Semiannual, 2, settlement_date)
yld_disco = bf.yld(bond, 95.0, ActualActual(ISDA), Compounded, Semiannual, settlement_date, 1e-6, 100, 0.5)
dur_disco = bf.duration(bond, yld_disco, ActualActual(ISDA), Compounded, Semiannual, 2, settlement_date)
self.assertEqual(round(zspd, 6), 0.001281)
self.assertEqual(round(pyc_zspd, 4), -0.0264)
self.assertEqual(round(pyc_zspd_disco, 4), -0.0114)
self.assertEqual(round(yld, 4), 0.0338)
self.assertEqual(round(yld_disco, 4), 0.0426)
self.assertEqual(round(dur, 4), 8.0655)
self.assertEqual(round(dur_disco, 4), 7.9702)
def test_swap_from_market(self):
"""
Test that a swap with fixed coupon = fair rate has an NPV=0
Create from market
"""
eval_date = Date(2, January, 2014)
settings = Settings()
settings.evaluation_date = eval_date
calendar = TARGET()
settlement_date = calendar.advance(eval_date, 2, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
length = 5
fixed_rate = .05
floating_spread = 0.0
m = libor_market('USD(NY)')
quotes = [('DEP', '1W', SimpleQuote(0.0382)),
('DEP', '1M', SimpleQuote(0.0372)),
('DEP', '3M', SimpleQuote(0.0363)),
('DEP', '6M', SimpleQuote(0.0353)),
('DEP', '9M', SimpleQuote(0.0348)),
('DEP', '1Y', SimpleQuote(0.0345)),
('SWAP', '2Y', SimpleQuote(0.037125)),
('SWAP', '3Y', SimpleQuote(0.0398)),
('SWAP', '5Y', SimpleQuote(0.0443)),
('SWAP', '10Y', SimpleQuote(0.05165)),
('SWAP', '15Y', SimpleQuote(0.055175))]
m.set_quotes(eval_date, quotes)
m.bootstrap_term_structure()
dt = Date(2, January, 2015)
df = m.discount(dt)
print('discount factor for %s (USD Libor): %f' % (dt, df))
swap = m.create_fixed_float_swap(settlement_date, length, fixed_rate,
floating_spread)
fixed_l = swap.fixed_leg
float_l = swap.floating_leg
f = swap.fair_rate
print('fair rate: %f' % f)
p = swap.net_present_value
print('NPV: %f' % p)
fixed_npv = swap.fixed_leg_npv
float_npv = swap.floating_leg_npv
# verify calculation by discounting both legs
tot = 0.0
for frc in fixed_l:
df = m.discount(frc.date)
tot += frc.amount * df
print('fixed npv: %f discounted cf: %f' % (fixed_npv, tot))
self.assertAlmostEqual(fixed_npv, -tot)
tot = 0.0
for ic in float_l:
df = m.discount(ic.date)
tot += ic.amount * df
print('float npv: %f discounted cf: %f' % (float_npv, tot))
self.assertAlmostEqual(float_npv, tot)
def test_swap_QL(self):
"""
Test that a swap with fixed coupon = fair rate has an NPV=0
Create from QL objects
"""
nominal = 100.0
fixedConvention = Unadjusted
floatingConvention = ModifiedFollowing
fixedFrequency = Annual
floatingFrequency = Semiannual
fixedDayCount = Thirty360()
floatDayCount = Thirty360()
calendar = TARGET()
settlement_days = 2
eval_date = Date(2, January, 2014)
settings = Settings()
settings.evaluation_date = eval_date
settlement_date = calendar.advance(eval_date, settlement_days, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
termStructure = YieldTermStructure(relinkable=True)
termStructure.link_to(
FlatForward(settlement_date, 0.05, Actual365Fixed()))
index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(), termStructure)
length = 5
fixedRate = .05
floatingSpread = 0.0
maturity = calendar.advance(settlement_date,
length,
Years,
convention=floatingConvention)
fixedSchedule = Schedule(settlement_date, maturity,
Period(fixedFrequency), calendar,
fixedConvention, fixedConvention,
Rule.Forward, False)
floatSchedule = Schedule(settlement_date, maturity,
Period(floatingFrequency), calendar,
floatingConvention, floatingConvention,
Rule.Forward, False)
engine = DiscountingSwapEngine(termStructure, False, settlement_date,
settlement_date)
for swap_type in [Payer, Receiver]:
swap = VanillaSwap(swap_type, nominal, fixedSchedule, fixedRate,
fixedDayCount, floatSchedule, index,
floatingSpread, floatDayCount, fixedConvention)
swap.set_pricing_engine(engine)
fixed_leg = swap.fixed_leg
floating_leg = swap.floating_leg
f = swap.fair_rate
print('fair rate: %f' % f)
p = swap.net_present_value
print('NPV: %f' % p)
swap = VanillaSwap(swap_type, nominal, fixedSchedule, f,
fixedDayCount, floatSchedule, index,
floatingSpread, floatDayCount, fixedConvention)
swap.set_pricing_engine(engine)
p = swap.net_present_value
print('NPV: %f' % p)
self.assertAlmostEqual(p, 0)
def setUp(self):
calendar = TARGET()
todays_date = Date(15, May, 2007)
self.todays_date = calendar.adjust(todays_date)
def setUp(self):
calendar = TARGET()
todays_date = Date(15, May, 2007)
self.todays_date = calendar.adjust(todays_date)
def test_deposit_swap(self):
settings = Settings()
# Market information
calendar = TARGET()
todays_date = Date(1, Mar, 2012)
# must be a business day
eval_date = calendar.adjust(todays_date)
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);
depositData = [[ 1, Months, 4.581 ],
[ 2, Months, 4.573 ],
[ 3, Months, 4.557 ],
[ 6, Months, 4.496 ],
[ 9, Months, 4.490 ]]
swapData = [[ 1, Years, 4.54 ],
[ 5, Years, 4.99 ],
[ 10, Years, 5.47 ],
[ 20, Years, 5.89 ],
[ 30, Years, 5.96 ]]
rate_helpers = []
end_of_month = True
for m, period, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(SimpleQuote(rate/100), tenor, settlement_days,
calendar, ModifiedFollowing, end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor(
'USD Libor', Period(6, Months), settlement_days, USDCurrency(),
calendar, Actual360()
)
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, rate in swapData:
helper = SwapRateHelper.from_tenor(
SimpleQuote(rate/100), Period(m, Years), calendar, Annual, Unadjusted, Thirty360(), liborIndex,
spread, fwdStart
)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve.from_reference_date(
BootstrapTrait.Discount, Interpolator.LogLinear, settlement_date, rate_helpers,
ts_day_counter, tolerance
)
self.assertEqual(settlement_date, ts.reference_date)
# this is not a real test ...
self.assertAlmostEqual(0.9103,
ts.discount(calendar.advance(todays_date, 2, Years)),3)
self.assertAlmostEqual(0.7836,
ts.discount(calendar.advance(todays_date, 5, Years)),3)
self.assertAlmostEqual(0.5827,
ts.discount(calendar.advance(todays_date, 10, Years)),3)
self.assertAlmostEqual(0.4223,
ts.discount(calendar.advance(todays_date, 15, Years)),3)
from quantlib.termstructures.yields.bootstraptraits import Discount from quantlib.termstructures.yields.api import YieldTermStructure from quantlib.math.interpolation import Cubic from quantlib.indexes.ibor.eonia import Eonia from quantlib.indexes.api import Euribor6M from quantlib.instruments.swap import SwapType from quantlib.instruments.vanillaswap import VanillaSwap from quantlib.pricingengines.swap import DiscountingSwapEngine calendar = TARGET() todays_date = Date(11, 12, 2012) Settings().evaluation_date = todays_date fixing_days = 2 settlement_date = calendar.advance(todays_date, fixing_days, Days) settlement_date = calendar.adjust(settlement_date) # deposits dONRate = SimpleQuote(0.0004) dTNRate = SimpleQuote(0.0004) dSNRate = SimpleQuote(0.0004) # OIS ois1WRate = SimpleQuote(0.00070) ois2WRate = SimpleQuote(0.00069) ois3WRate = SimpleQuote(0.00078) ois1MRate = SimpleQuote(0.00074) # Dated OIS oisDated1Rate = SimpleQuote(0.000460) oisDated2Rate = SimpleQuote(0.000160)
def example01():
#*********************
#*** MARKET DATA ***
#*********************
calendar = TARGET()
todays_date = Date(15, May, 2007)
# must be a business day
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
# dummy curve
ts_curve = FlatForward(
reference_date=todays_date, forward=0.01, daycounter=Actual365Fixed()
)
# In Lehmans Brothers "guide to exotic credit derivatives"
# p. 32 there's a simple case, zero flat curve with a flat CDS
# curve with constant market spreads of 150 bp and RR = 50%
# corresponds to a flat 3% hazard rate. The implied 1-year
# survival probability is 97.04% and the 2-years is 94.18%
# market
recovery_rate = 0.5
quoted_spreads = [0.0150, 0.0150, 0.0150, 0.0150 ]
tenors = [Period(i, Months) for i in [3, 6, 12, 24]]
maturities = [
calendar.adjust(todays_date + tenors[i], Following) for i in range(4)
]
instruments = []
for i in range(4):
helper = SpreadCdsHelper(
quoted_spreads[i], tenors[i], 0, calendar, Quarterly,
Following, Rule.TwentiethIMM, Actual365Fixed(), recovery_rate, ts_curve
)
instruments.append(helper)
# Bootstrap hazard rates
hazard_rate_structure = PiecewiseDefaultCurve.from_reference_date(
ProbabilityTrait.HazardRate, Interpolator.BackwardFlat, todays_date, instruments, Actual365Fixed()
)
#vector<pair<Date, Real> > hr_curve_data = hazardRateStructure->nodes();
#cout << "Calibrated hazard rate values: " << endl ;
#for (Size i=0; i<hr_curve_data.size(); i++) {
# cout << "hazard rate on " << hr_curve_data[i].first << " is "
# << hr_curve_data[i].second << endl;
#}
#cout << endl;
target = todays_date + Period(1, Years)
print(target)
print("Some survival probability values: ")
print("1Y survival probability: {:%}".format(
hazard_rate_structure.survival_probability(target)
))
print(" expected: {:%}".format(0.9704))
print("2Y survival probability: {:%}".format(
hazard_rate_structure.survival_probability(todays_date + Period(2, Years))
))
print(" expected: {:%}".format(0.9418))
# reprice instruments
nominal = 1000000.0;
#Handle<DefaultProbabilityTermStructure> probability(hazardRateStructure);
engine = MidPointCdsEngine(hazard_rate_structure, recovery_rate, ts_curve)
cds_schedule = Schedule.from_rule(
todays_date, maturities[0], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_3m = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[0], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[1], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_6m = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[1], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[2], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_1y = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[2], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[3], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_2y = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[3], cds_schedule, Following,
Actual365Fixed()
)
cds_3m.set_pricing_engine(engine);
cds_6m.set_pricing_engine(engine);
cds_1y.set_pricing_engine(engine);
cds_2y.set_pricing_engine(engine);
print("Repricing of quoted CDSs employed for calibration: ")
print("3M fair spread: {}".format(cds_3m.fair_spread))
print(" NPV: ", cds_3m.net_present_value)
print(" default leg: ", cds_3m.default_leg_npv)
print(" coupon leg: ", cds_3m.coupon_leg_npv)
print("6M fair spread: {}".format(cds_6m.fair_spread))
print(" NPV: ", cds_6m.net_present_value)
print(" default leg: ", cds_6m.default_leg_npv)
print(" coupon leg: ", cds_6m.coupon_leg_npv)
print("1Y fair spread: {}".format(cds_1y.fair_spread))
print(" NPV: ", cds_1y.net_present_value)
print(" default leg: ", cds_1y.default_leg_npv)
print(" coupon leg: ", cds_1y.coupon_leg_npv)
print("2Y fair spread: {}".format(cds_2y.fair_spread))
print(" NPV: ", cds_2y.net_present_value)
print(" default leg: ", cds_2y.default_leg_npv)
print(" coupon leg: ", cds_2y.coupon_leg_npv)
print()
Schedule,
Unadjusted,
)
from quantlib.termstructures.credit.api import SpreadCdsHelper, PiecewiseDefaultCurve, ProbabilityTrait, Interpolator
from quantlib.termstructures.yields.api import FlatForward
if __name__ == "__main__":
# *********************
# *** MARKET DATA ***
# *********************
calendar = TARGET()
todays_date = Date(15, May, 2007)
# must be a business day
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
# dummy curve
ts_curve = FlatForward(reference_date=todays_date, forward=0.01, daycounter=Actual365Fixed())
# In Lehmans Brothers "guide to exotic credit derivatives"
# p. 32 there's a simple case, zero flat curve with a flat CDS
# curve with constant market spreads of 150 bp and RR = 50%
# corresponds to a flat 3% hazard rate. The implied 1-year
# survival probability is 97.04% and the 2-years is 94.18%
# market
recovery_rate = 0.5
quoted_spreads = [0.0150, 0.0150, 0.0150, 0.0150]
def test_zero_curve(self):
try:
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
depositData = [[1, Months, 'Libor1M', 5.32],
[3, Months, 'Libor3M', 5.35],
[6, Months, 'Libor6M', 5.35]]
swapData = [[1, Years, 'Swap1Y', 5.31], [2, Years, 'Swap2Y', 5.06],
[3, Years, 'Swap3Y', 5.00], [4, Years, 'Swap4Y', 5.01],
[5, Years, 'Swap5Y', 5.04], [7, Years, 'Swap7Y', 5.12],
[10, Years, 'Swap10Y', 5.22],
[30, Years, 'Swap30Y', 5.44]]
rate_helpers = []
end_of_month = True
for m, period, label, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(SimpleQuote(rate / 100.0), tenor,
settlement_days, calendar,
ModifiedFollowing, end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(3, Months), settlement_days,
USDCurrency(), calendar, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, label, rate in swapData:
helper = SwapRateHelper.from_tenor(SimpleQuote(rate / 100.0),
Period(m, Years), calendar,
Semiannual,
ModifiedFollowing,
Thirty360(), liborIndex,
spread, fwdStart)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve('discount', 'loglinear', settlement_date,
rate_helpers, ts_day_counter, tolerance)
# max_date raises an exception...
dtMax = ts.max_date
print('max date: %s' % dtMax)
except RuntimeError as e:
print('Exception (expected):\n%s' % e)
self.assertTrue(True)
except Exception:
self.assertFalse()
Date, May, Actual365Fixed, Following, TARGET, Period, Months,
Quarterly, TwentiethIMM, Years, Schedule, Unadjusted
)
from quantlib.termstructures.credit.api import SpreadCdsHelper, PiecewiseDefaultCurve
from quantlib.termstructures.yields.api import FlatForward
if __name__ == '__main__':
#*********************
#*** MARKET DATA ***
#*********************/
calendar = TARGET()
todays_date = Date(15, May, 2007)
# must be a business day
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
# dummy curve
ts_curve = FlatForward(
reference_date=todays_date, forward=0.01, daycounter=Actual365Fixed()
)
# In Lehmans Brothers "guide to exotic credit derivatives"
# p. 32 there's a simple case, zero flat curve with a flat CDS
# curve with constant market spreads of 150 bp and RR = 50%
# corresponds to a flat 3% hazard rate. The implied 1-year
# survival probability is 97.04% and the 2-years is 94.18%
# market
def get_term_structure(df_libor, dtObs):
settings = Settings()
# Market information
calendar = TARGET()
# must be a business day
eval_date = calendar.adjust(Date.from_datetime(dtObs))
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)
depositData = [[1, Months, 'Libor1M'], [3, Months, 'Libor3M'],
[6, Months, 'Libor6M']]
swapData = [[1, Years, 'Swap1Y'], [2, Years,
'Swap2Y'], [3, Years, 'Swap3Y'],
[4, Years, 'Swap4Y'], [5, Years, 'Swap5Y'],
[7, Years, 'Swap7Y'], [10, Years, 'Swap10Y'],
[30, Years, 'Swap30Y']]
rate_helpers = []
end_of_month = True
for m, period, label in depositData:
tenor = Period(m, Months)
rate = df_libor.get_value(dtObs, label)
helper = DepositRateHelper(SimpleQuote(rate / 100.0), tenor,
settlement_days,
calendar, ModifiedFollowing, end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(3, Months), settlement_days,
USDCurrency(), calendar, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, label in swapData:
rate = df_libor.get_value(dtObs, label)
helper = SwapRateHelper.from_tenor(SimpleQuote(rate / 100.0),
Period(m, Years), calendar,
Semiannual, ModifiedFollowing,
Thirty360(), liborIndex, spread,
fwdStart)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve.from_reference_date(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date, rate_helpers,
ts_day_counter, tolerance)
ts.extrapolation = True
return ts
def test_swap_from_market(self):
"""
Test that a swap with fixed coupon = fair rate has an NPV=0
Create from market
"""
eval_date = Date(2, January, 2014)
settings = Settings()
settings.evaluation_date = eval_date
calendar = TARGET()
settlement_date = calendar.advance(eval_date, 2, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
length = 5
fixed_rate = .05
floating_spread = 0.0
m = libor_market('USD(NY)')
quotes = [('DEP', '1W', SimpleQuote(0.0382)),
('DEP', '1M', SimpleQuote(0.0372)),
('DEP', '3M', SimpleQuote(0.0363)),
('DEP', '6M', SimpleQuote(0.0353)),
('DEP', '9M', SimpleQuote(0.0348)),
('DEP', '1Y', SimpleQuote(0.0345)),
('SWAP', '2Y', SimpleQuote(0.037125)),
('SWAP', '3Y', SimpleQuote(0.0398)),
('SWAP', '5Y', SimpleQuote(0.0443)),
('SWAP', '10Y', SimpleQuote(0.05165)),
('SWAP', '15Y', SimpleQuote(0.055175))]
m.set_quotes(eval_date, quotes)
m.bootstrap_term_structure()
dt = Date(2, January, 2015)
df = m.discount(dt)
print('discount factor for %s (USD Libor): %f' % (dt, df))
swap = m.create_fixed_float_swap(settlement_date, length, fixed_rate,
floating_spread)
fixed_l = swap.fixed_leg
float_l = swap.floating_leg
f = swap.fair_rate
print('fair rate: %f' % f)
p = swap.net_present_value
print('NPV: %f' % p)
fixed_npv = swap.fixed_leg_npv
float_npv = swap.floating_leg_npv
# verify calculation by discounting both legs
tot = 0.0
for frc in fixed_l:
df = m.discount(frc.date)
tot += frc.amount * df
print('fixed npv: %f discounted cf: %f' % (fixed_npv, tot))
self.assertAlmostEqual(fixed_npv, -tot)
tot = 0.0
for ic in float_l:
df = m.discount(ic.date)
tot += ic.amount * df
print('float npv: %f discounted cf: %f' % (float_npv, tot))
self.assertAlmostEqual(float_npv, tot)
def example01():
#*********************
#*** MARKET DATA ***
#*********************
calendar = TARGET()
todays_date = Date(15, May, 2007)
# must be a business day
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
# dummy curve
ts_curve = FlatForward(
reference_date=todays_date, forward=0.01, daycounter=Actual365Fixed()
)
# In Lehmans Brothers "guide to exotic credit derivatives"
# p. 32 there's a simple case, zero flat curve with a flat CDS
# curve with constant market spreads of 150 bp and RR = 50%
# corresponds to a flat 3% hazard rate. The implied 1-year
# survival probability is 97.04% and the 2-years is 94.18%
# market
recovery_rate = 0.5
quoted_spreads = [0.0150, 0.0150, 0.0150, 0.0150 ]
tenors = [Period(i, Months) for i in [3, 6, 12, 24]]
maturities = [
calendar.adjust(todays_date + tenors[i], Following) for i in range(4)
]
instruments = []
for i in range(4):
helper = SpreadCdsHelper(
quoted_spreads[i], tenors[i], 0, calendar, Quarterly,
Following, Rule.TwentiethIMM, Actual365Fixed(), recovery_rate, ts_curve
)
instruments.append(helper)
# Bootstrap hazard rates
hazard_rate_structure = PiecewiseDefaultCurve.from_reference_date(
ProbabilityTrait.HazardRate, Interpolator.BackwardFlat, todays_date, instruments, Actual365Fixed()
)
#vector<pair<Date, Real> > hr_curve_data = hazardRateStructure->nodes();
#cout << "Calibrated hazard rate values: " << endl ;
#for (Size i=0; i<hr_curve_data.size(); i++) {
# cout << "hazard rate on " << hr_curve_data[i].first << " is "
# << hr_curve_data[i].second << endl;
#}
#cout << endl;
target = todays_date + Period(1, Years)
print(target)
print("Some survival probability values: ")
print("1Y survival probability: {:%}".format(
hazard_rate_structure.survival_probability(target)
))
print(" expected: {:%}".format(0.9704))
print("2Y survival probability: {:%}".format(
hazard_rate_structure.survival_probability(todays_date + Period(2, Years))
))
print(" expected: {:%}".format(0.9418))
# reprice instruments
nominal = 1000000.0;
#Handle<DefaultProbabilityTermStructure> probability(hazardRateStructure);
engine = MidPointCdsEngine(hazard_rate_structure, recovery_rate, ts_curve)
cds_schedule = Schedule.from_rule(
todays_date, maturities[0], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_3m = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[0], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[1], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_6m = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[1], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[2], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_1y = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[2], cds_schedule, Following,
Actual365Fixed()
)
cds_schedule = Schedule.from_rule(
todays_date, maturities[3], Period(Quarterly), calendar,
termination_date_convention=Unadjusted,
date_generation_rule=Rule.TwentiethIMM
)
cds_2y = CreditDefaultSwap(
Side.Seller, nominal, quoted_spreads[3], cds_schedule, Following,
Actual365Fixed()
)
cds_3m.set_pricing_engine(engine);
cds_6m.set_pricing_engine(engine);
cds_1y.set_pricing_engine(engine);
cds_2y.set_pricing_engine(engine);
print("Repricing of quoted CDSs employed for calibration: ")
print("3M fair spread: {}".format(cds_3m.fair_spread))
print(" NPV: ", cds_3m.net_present_value)
print(" default leg: ", cds_3m.default_leg_npv)
print(" coupon leg: ", cds_3m.coupon_leg_npv)
print("6M fair spread: {}".format(cds_6m.fair_spread))
print(" NPV: ", cds_6m.net_present_value)
print(" default leg: ", cds_6m.default_leg_npv)
print(" coupon leg: ", cds_6m.coupon_leg_npv)
print("1Y fair spread: {}".format(cds_1y.fair_spread))
print(" NPV: ", cds_1y.net_present_value)
print(" default leg: ", cds_1y.default_leg_npv)
print(" coupon leg: ", cds_1y.coupon_leg_npv)
print("2Y fair spread: {}".format(cds_2y.fair_spread))
print(" NPV: ", cds_2y.net_present_value)
print(" default leg: ", cds_2y.default_leg_npv)
print(" coupon leg: ", cds_2y.coupon_leg_npv)
print()
def test_swap_QL(self):
"""
Test that a swap with fixed coupon = fair rate has an NPV=0
Create from QL objects
"""
nominal = 100.0
fixedConvention = Unadjusted
floatingConvention = ModifiedFollowing
fixedFrequency = Annual
floatingFrequency = Semiannual
fixedDayCount = Thirty360()
floatDayCount = Thirty360()
calendar = TARGET()
settlement_days = 2
eval_date = Date(2, January, 2014)
settings = Settings()
settings.evaluation_date = eval_date
settlement_date = calendar.advance(eval_date, settlement_days, Days)
# must be a business day
settlement_date = calendar.adjust(settlement_date)
termStructure = YieldTermStructure(relinkable=True)
termStructure.link_to(FlatForward(settlement_date, 0.05,
Actual365Fixed()))
index = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360(),
termStructure)
length = 5
fixedRate = .05
floatingSpread = 0.0
maturity = calendar.advance(settlement_date, length, Years,
convention=floatingConvention)
fixedSchedule = Schedule(settlement_date, maturity,
Period(fixedFrequency),
calendar, fixedConvention, fixedConvention,
Rule.Forward, False)
floatSchedule = Schedule(settlement_date, maturity,
Period(floatingFrequency),
calendar, floatingConvention,
floatingConvention,
Rule.Forward, False)
engine = DiscountingSwapEngine(termStructure,
False,
settlement_date, settlement_date)
for swap_type in [Payer, Receiver]:
swap = VanillaSwap(swap_type, nominal, fixedSchedule, fixedRate,
fixedDayCount,
floatSchedule, index, floatingSpread,
floatDayCount, fixedConvention)
swap.set_pricing_engine(engine)
fixed_leg = swap.fixed_leg
floating_leg = swap.floating_leg
f = swap.fair_rate
print('fair rate: %f' % f)
p = swap.net_present_value
print('NPV: %f' % p)
swap = VanillaSwap(swap_type, nominal, fixedSchedule, f,
fixedDayCount,
floatSchedule, index, floatingSpread,
floatDayCount, fixedConvention)
swap.set_pricing_engine(engine)
p = swap.net_present_value
print('NPV: %f' % p)
self.assertAlmostEqual(p, 0)
def test_deposit_swap(self):
settings = Settings()
# Market information
calendar = TARGET()
todays_date = Date(1, Mar, 2012)
# must be a business day
eval_date = calendar.adjust(todays_date)
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)
depositData = [
[1, Months, 4.581],
[2, Months, 4.573],
[3, Months, 4.557],
[6, Months, 4.496],
[9, Months, 4.490],
]
swapData = [[1, Years, 4.54], [5, Years, 4.99], [10, Years, 5.47], [20, Years, 5.89], [30, Years, 5.96]]
rate_helpers = []
end_of_month = True
for m, period, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(
SimpleQuote(rate / 100), tenor, settlement_days, calendar, ModifiedFollowing, end_of_month, Actual360()
)
rate_helpers.append(helper)
liborIndex = Libor("USD Libor", Period(6, Months), settlement_days, USDCurrency(), calendar, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, rate in swapData:
helper = SwapRateHelper.from_tenor(
SimpleQuote(rate / 100),
Period(m, Years),
calendar,
Annual,
Unadjusted,
Thirty360(),
liborIndex,
spread,
fwdStart,
)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve.from_reference_date(
BootstrapTrait.Discount, Interpolator.LogLinear, settlement_date, rate_helpers, ts_day_counter, tolerance
)
self.assertEqual(settlement_date, ts.reference_date)
# this is not a real test ...
self.assertAlmostEqual(0.9103, ts.discount(calendar.advance(todays_date, 2, Years)), 3)
self.assertAlmostEqual(0.7836, ts.discount(calendar.advance(todays_date, 5, Years)), 3)
self.assertAlmostEqual(0.5827, ts.discount(calendar.advance(todays_date, 10, Years)), 3)
self.assertAlmostEqual(0.4223, ts.discount(calendar.advance(todays_date, 15, Years)), 3)
def get_term_structure(df_libor, dtObs):
settings = Settings()
# Market information
calendar = TARGET()
# must be a business day
eval_date = calendar.adjust(dateToDate(dtObs))
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)
depositData = [[1, Months, 'Libor1M'],
[3, Months, 'Libor3M'],
[6, Months, 'Libor6M']]
swapData = [[1, Years, 'Swap1Y'],
[2, Years, 'Swap2Y'],
[3, Years, 'Swap3Y'],
[4, Years, 'Swap4Y'],
[5, Years, 'Swap5Y'],
[7, Years, 'Swap7Y'],
[10, Years, 'Swap10Y'],
[30, Years, 'Swap30Y']]
rate_helpers = []
end_of_month = True
for m, period, label in depositData:
tenor = Period(m, Months)
rate = df_libor.get_value(dtObs, label)
helper = DepositRateHelper(SimpleQuote(rate / 100.0), tenor,
settlement_days,
calendar, ModifiedFollowing,
end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(3, Months),
settlement_days,
USDCurrency(), calendar,
Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, label in swapData:
rate = df_libor.get_value(dtObs, label)
helper = SwapRateHelper.from_tenor(
SimpleQuote(rate / 100.0),
Period(m, Years),
calendar, Semiannual,
ModifiedFollowing, Thirty360(),
liborIndex, spread, fwdStart)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-15
ts = PiecewiseYieldCurve('discount',
'loglinear',
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
return ts
def get_term_structure(df_libor, dtObs):
settings = Settings()
# Market information
calendar = TARGET()
# must be a business day
eval_date = calendar.adjust(dateToDate(dtObs))
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);
depositData =[[1, Months, 'Libor1M'],
[3, Months, 'Libor3M'],
[6, Months, 'Libor6M']]
swapData = [[ 1, Years, 'Swap1Y'],
[ 2, Years, 'Swap2Y'],
[ 3, Years, 'Swap3Y'],
[ 4, Years, 'Swap4Y'],
[ 5, Years, 'Swap5Y'],
[ 7, Years, 'Swap7Y'],
[ 10, Years,'Swap10Y'],
[ 30, Years,'Swap30Y']]
rate_helpers = []
end_of_month = True
for m, period, label in depositData:
tenor = Period(m, Months)
rate = df_libor.get_value(dtObs, label)
helper = DepositRateHelper(float(rate/100), tenor,
settlement_days,
calendar, ModifiedFollowing,
end_of_month,
Actual360())
rate_helpers.append(helper)
endOfMonth = True
liborIndex = Libor('USD Libor', Period(6, Months),
settlement_days,
USDCurrency(), calendar,
ModifiedFollowing,
endOfMonth, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, label in swapData:
rate = df_libor.get_value(dtObs, label)
helper = SwapRateHelper(SimpleQuote(rate/100),
Period(m, Years),
calendar, Annual,
Unadjusted, Thirty360(),
liborIndex, spread, fwdStart)
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)
return ts
Date, May, Actual365Fixed, Following, TARGET, Period, Months,
Quarterly, TwentiethIMM, Years, Schedule, Unadjusted
)
from quantlib.termstructures.credit.api import SpreadCdsHelper, PiecewiseDefaultCurve
from quantlib.termstructures.yields.api import FlatForward
if __name__ == '__main__':
#*********************
#*** MARKET DATA ***
#*********************
calendar = TARGET()
todays_date = Date(15, May, 2007)
# must be a business day
todays_date = calendar.adjust(todays_date)
Settings.instance().evaluation_date = todays_date
# dummy curve
ts_curve = FlatForward(
reference_date=todays_date, forward=0.01, daycounter=Actual365Fixed()
)
# In Lehmans Brothers "guide to exotic credit derivatives"
# p. 32 there's a simple case, zero flat curve with a flat CDS
# curve with constant market spreads of 150 bp and RR = 50%
# corresponds to a flat 3% hazard rate. The implied 1-year
# survival probability is 97.04% and the 2-years is 94.18%
# market
def test_zero_curve(self):
try:
settings = Settings()
calendar = TARGET()
# must be a business Days
dtObs = date(2007, 4, 27)
eval_date = calendar.adjust(pydate_to_qldate(dtObs))
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)
print('dt Obs: %s\ndt Eval: %s\ndt Settle: %s' %
(dtObs, eval_date, settlement_date))
depositData = [[1, Months, 'Libor1M', 5.32],
[3, Months, 'Libor3M', 5.35],
[6, Months, 'Libor6M', 5.35]]
swapData = [[1, Years, 'Swap1Y', 5.31],
[2, Years, 'Swap2Y', 5.06],
[3, Years, 'Swap3Y', 5.00],
[4, Years, 'Swap4Y', 5.01],
[5, Years, 'Swap5Y', 5.04],
[7, Years, 'Swap7Y', 5.12],
[10, Years, 'Swap10Y', 5.22],
[30, Years, 'Swap30Y', 5.44]]
rate_helpers = []
end_of_month = True
for m, period, label, rate in depositData:
tenor = Period(m, Months)
helper = DepositRateHelper(SimpleQuote(rate / 100.0), tenor,
settlement_days,
calendar, ModifiedFollowing,
end_of_month,
Actual360())
rate_helpers.append(helper)
liborIndex = Libor('USD Libor', Period(3, Months),
settlement_days,
USDCurrency(), calendar,
Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
for m, period, label, rate in swapData:
helper = SwapRateHelper.from_tenor(
SimpleQuote(rate / 100.0),
Period(m, Years),
calendar, Semiannual,
ModifiedFollowing, Thirty360(),
liborIndex, spread, fwdStart)
rate_helpers.append(helper)
ts_day_counter = ActualActual(ISDA)
tolerance = 1.0e-2
ts = PiecewiseYieldCurve('discount',
'loglinear',
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
# max_date raises an exception...
dtMax = ts.max_date
print('max date: %s' % dtMax)
except RuntimeError as e:
print('Exception (expected):\n%s' % e)
self.assertTrue(True)
except Exception:
self.assertFalse()