def test_create_swap_rate_helper_from_tenor(self):
calendar = UnitedStates()
settlement_days = 2
rate = SimpleQuote(0.005681)
ibor_index = Libor("USDLibor", Period(3, Months), settlement_days,
USDCurrency(), UnitedStates(), Actual360())
helper_from_quote = SwapRateHelper.from_tenor(rate, Period(12, Months),
calendar, Annual,
ModifiedFollowing,
Actual360(), ibor_index)
helper_from_float = SwapRateHelper.from_tenor(0.005681,
Period(12, Months),
calendar, Annual,
ModifiedFollowing,
Actual360(), ibor_index)
self.assertIsNotNone(helper_from_float, helper_from_quote)
self.assertEqual(rate.value, helper_from_quote.quote.value)
self.assertEqual(helper_from_quote.quote.value,
helper_from_float.quote.value)
with self.assertRaises(RuntimeError):
self.assertAlmostEqual(rate.value, helper_from_quote.implied_quote)
def test_create_swap_rate_helper_from_index(self):
calendar = UnitedStates()
settlement_days = 2
currency = USDCurrency()
fixed_leg_tenor = Period(12, Months)
fixed_leg_convention = ModifiedFollowing
fixed_leg_daycounter = Actual360()
family_name = currency.name + 'index'
ibor_index = Libor(
"USDLibor", Period(3,Months), settlement_days, USDCurrency(),
UnitedStates(), Actual360()
)
rate = SimpleQuote(0.005681)
tenor = Period(1, Years)
index = SwapIndex (
family_name, tenor, settlement_days, currency, calendar,
fixed_leg_tenor, fixed_leg_convention,
fixed_leg_daycounter, ibor_index)
helper_from_quote = SwapRateHelper.from_index(rate, index)
helper_from_float = SwapRateHelper.from_index(0.005681, index)
#self.fail(
# 'Make this pass: create and ask for the .quote property'
# ' Test the from_index and from_tenor methods'
#)
self.assertIsNotNone(helper_from_quote, helper_from_float)
self.assertAlmostEqual(rate.value, helper_from_quote.quote.value)
self.assertAlmostEqual(helper_from_float.quote.value, helper_from_quote.quote.value)
with self.assertRaises(RuntimeError):
self.assertAlmostEqual(rate.value, helper_from_quote.implied_quote)
def make_rate_helper(label, rate, dt_obs, currency='USD'):
"""
Wrapper for deposit and swaps rate helpers makers
For Swaps: assume USD swap fixed rates vs. 6M Libor
TODO: make this more general
"""
if (currency.upper() != 'USD'):
raise Exception("Only supported currency is USD.")
rate_type, tenor, period = _parse_rate_label(label)
if not isinstance(dt_obs, Date):
dt_obs = pydate_to_qldate(dt_obs)
settings = Settings()
calendar = JointCalendar(UnitedStates(), UnitedKingdom())
# must be a business day
eval_date = calendar.adjust(dt_obs)
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)
end_of_month = True
if ((rate_type == 'SWAP') & (period == 'Y')):
liborIndex = Libor('USD Libor', Period(6, Months), settlement_days,
USDCurrency(), calendar, Actual360())
spread = SimpleQuote(0)
fwdStart = Period(0, Days)
helper = SwapRateHelper.from_tenor(SimpleQuote(rate),
Period(tenor, Years),
calendar, Annual, Unadjusted,
Thirty360(), liborIndex, spread,
fwdStart)
elif ((rate_type == 'LIBOR') & (period == 'M')):
helper = DepositRateHelper(SimpleQuote(rate), Period(tenor, Months),
settlement_days,
calendar, ModifiedFollowing, end_of_month,
Actual360())
else:
raise Exception("Rate type %s not supported" % label)
return (helper)
def build_helpers():
calendar = TARGET()
settlement_days = 2
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, _, _, 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, _, _, 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)
return rate_helpers
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_zero_curve_on_swap_index(self):
todays_date = today()
calendar = UnitedStates() # INPUT
dayCounter = Actual360() # INPUT
currency = USDCurrency() # INPUT
Settings.instance().evaluation_date = todays_date
settlement_days = 2
settlement_date = calendar.advance(
todays_date, period=Period(settlement_days, Days)
)
liborRates = [ SimpleQuote(0.002763), SimpleQuote(0.004082), SimpleQuote(0.005601), SimpleQuote(0.006390), SimpleQuote(0.007125),
SimpleQuote(0.007928), SimpleQuote(0.009446), SimpleQuote(0.01110)]
liborRatesTenor = [Period(tenor, Months) for tenor in [1,2,3,4,5,6,9,12]]
Libor_dayCounter = Actual360();
swapRates = [SimpleQuote(0.005681), SimpleQuote(0.006970), SimpleQuote(0.009310), SimpleQuote(0.012010), SimpleQuote(0.014628),
SimpleQuote(0.016881), SimpleQuote(0.018745), SimpleQuote(0.020260), SimpleQuote(0.021545)]
swapRatesTenor = [Period(i, Years) for i in range(2, 11)]
# description of the fixed leg of the swap
Swap_fixedLegTenor = Period(12, Months) # INPUT
Swap_fixedLegConvention = ModifiedFollowing # INPUT
Swap_fixedLegDayCounter = Actual360() # INPUT
# description of the float leg of the swap
Swap_iborIndex = Libor(
"USDLibor", Period(3, Months), settlement_days, USDCurrency(),
UnitedStates(), Actual360()
)
SwapFamilyName = currency.name + "swapIndex"
instruments = []
# ++++++++++++++++++++ Creation of the vector of RateHelper (need for the Yield Curve construction)
# ++++++++++++++++++++ Libor
LiborFamilyName = currency.name + "Libor"
instruments = []
for rate, tenor in zip(liborRates, liborRatesTenor):
# Index description ___ creation of a Libor index
liborIndex = Libor(
LiborFamilyName, tenor, settlement_days, currency, calendar,
Libor_dayCounter
)
# Initialize rate helper
# the DepositRateHelper link the recording rate with the Libor
# index
instruments.append(DepositRateHelper(rate, index=liborIndex))
for tenor, rate in zip(swapRatesTenor, swapRates):
# swap description ___ creation of a swap index. The floating leg is described in the index 'Swap_iborIndex'
swapIndex = SwapIndex (
SwapFamilyName, tenor, settlement_days, currency, calendar,
Swap_fixedLegTenor, Swap_fixedLegConvention,
Swap_fixedLegDayCounter, Swap_iborIndex
)
# Initialize rate helper __ the SwapRateHelper links the swap index width his rate
instruments.append(SwapRateHelper.from_index(rate,swapIndex))
# ++++++++++++++++++ Now the creation of the yield curve
tolerance = 1.0e-15
ts = PiecewiseYieldCurve.from_reference_date(
BootstrapTrait.ZeroYield, Interpolator.Linear, settlement_date, instruments, dayCounter,
tolerance
)
self.assertEqual(settlement_date, ts.reference_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)
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.from_rule(
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[BootstrapTrait.Discount,
LogLinear].from_reference_date(
settlement_date,
rate_helpers,
ts_day_counter,
accuracy=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.bond_yield(bond, 102.0, ActualActual(ISDA), Compounded,
Semiannual, settlement_date, 1e-6, 100, 0.5)
dur = bf.duration(bond, yld, ActualActual(ISDA), Compounded,
Semiannual, bf.Modified, settlement_date)
yld_disco = bf.bond_yield(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, bf.Modified,
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_bucketanalysis_bond(self):
settings = Settings()
calendar = TARGET()
settlement_date = calendar.adjust(Date(28, January, 2011))
simple_quotes = []
fixing_days = 1
settlement_days = 1
todays_date = calendar.advance(settlement_date, -fixing_days, Days)
settings.evaluation_date = todays_date
face_amount = 100.0
redemption = 100.0
issue_date = Date(27, January, 2011)
maturity_date = Date(1, January, 2021)
coupon_rate = 0.055
bond_yield = 0.034921
flat_discounting_term_structure = YieldTermStructure()
flat_term_structure = FlatForward(reference_date=settlement_date,
forward=bond_yield,
daycounter=Actual365Fixed(),
compounding=Compounded,
frequency=Semiannual)
flat_discounting_term_structure.link_to(flat_term_structure)
fixed_bond_schedule = Schedule.from_rule(
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)
zspd = bf.zSpread(bond, 100.0, flat_term_structure, Actual365Fixed(),
Compounded, Semiannual, settlement_date, 1e-6, 100,
0.5)
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)
sq_rate = SimpleQuote(rate / 100)
helper = DepositRateHelper(sq_rate, tenor, settlement_days,
calendar, ModifiedFollowing,
end_of_month, Actual360())
simple_quotes.append(sq_rate)
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:
sq_rate = SimpleQuote(rate / 100)
helper = SwapRateHelper.from_tenor(sq_rate, Period(m, Years),
calendar, Annual, Unadjusted,
Thirty360(), liborIndex, spread,
fwdStart)
simple_quotes.append(sq_rate)
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)
discounting_term_structure = YieldTermStructure()
discounting_term_structure.link_to(ts)
pricing_engine = DiscountingBondEngine(discounting_term_structure)
bond.set_pricing_engine(pricing_engine)
self.assertAlmostEqual(bond.npv, 100.83702940160767)
ba = bucket_analysis([simple_quotes], [bond], [1], 0.0001, 1)
self.assertTrue(2, ba)
self.assertTrue(type(tuple), ba)
self.assertEqual(len(simple_quotes), len(ba[0][0]))
self.assertEqual(0, ba[0][0][8])