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_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 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_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_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 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 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(rate,
Period(tenor, Years),
calendar, Annual,
Unadjusted, Thirty360(),
liborIndex, spread, fwdStart)
elif((rate_type == 'LIBOR') & (period == 'M')):
helper = DepositRateHelper(rate, Period(tenor, Months),
settlement_days,
calendar, ModifiedFollowing,
end_of_month,
Actual360())
else:
raise Exception("Rate type %s not supported" % label)
return (helper)
def test_create_swap_index(self):
term_structure = YieldTermStructure()
term_structure.link_to(
FlatForward(forward=0.05,
daycounter=Actual365Fixed(),
settlement_days=2,
calendar=UnitedStates()))
ibor_index = USDLibor(Period(3, Months), term_structure)
index = SwapIndex('UsdLiborSwapIsdaFixAm', Period(10, Years), 2,
USDCurrency(), UnitedStates(GovernmentBond),
Period(6, Months), ModifiedFollowing, Thirty360(),
ibor_index)
index2 = UsdLiborSwapIsdaFixAm(Period(10, Years), term_structure)
for attr in [
'name', 'family_name', 'fixing_calendar', 'tenor',
'day_counter', 'currency'
]:
self.assertEqual(getattr(index, attr), getattr(index2, attr))
def test_from_name(self):
cu_1 = Currency.from_name('USD')
cu_2 = USDCurrency()
self.assertEquals(cu_1.name, cu_2.name)
self.assertIsInstance(cu_1, USDCurrency)
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()
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 dividendOption():
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++ General Parameter for all the computation +++++++++++++++++++++++
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# declaration of the today's date (date where the records are done)
todaysDate = Date(24, Jan, 2012) # INPUT
Settings.instance(
).evaluation_date = todaysDate #!\ IMPORTANT COMMAND REQUIRED FOR ALL VALUATIONS
calendar = UnitedStates() # INPUT
settlement_days = 2 # INPUT
# Calcul of the settlement date : need to add a period of 2 days to the todays date
settlementDate = calendar.advance(todaysDate,
period=Period(settlement_days, Days))
dayCounter = Actual360() # INPUT
currency = USDCurrency() # INPUT
print("Date of the evaluation: ", todaysDate)
print("Calendar used: ", calendar.name)
print("Number of settlement Days: ", settlement_days)
print("Date of settlement: ", settlementDate)
print("Convention of day counter: ", dayCounter.name())
print("Currency of the actual context:\t\t", currency.name)
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++ Description of the underlying +++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
underlying_name = "IBM"
underlying_price = 191.75 # INPUT
underlying_vol = 0.2094 # INPUT
print("**********************************")
print("Name of the underlying: ", underlying_name)
print("Price of the underlying at t0: ", underlying_price)
print("Volatility of the underlying: ", underlying_vol)
# For a great managing of price and vol objects --> Handle
underlying_priceH = SimpleQuote(underlying_price)
# We suppose the vol constant : his term structure is flat --> BlackConstantVol object
flatVolTS = BlackConstantVol(settlementDate, calendar, underlying_vol,
dayCounter)
# ++++++++++++++++++++ Description of Yield Term Structure
# Libor data record
print("**********************************")
print("Description of the Libor used for the Yield Curve construction")
Libor_dayCounter = Actual360()
liborRates = []
liborRatesTenor = []
# INPUT : all the following data are input : the rate and the corresponding tenor
# You could make the choice of more or less data
# --> However you have tho choice the instruments with different maturities
liborRates = [
0.002763, 0.004082, 0.005601, 0.006390, 0.007125, 0.007928, 0.009446,
0.01110
]
liborRatesTenor = [
Period(tenor, Months) for tenor in [1, 2, 3, 4, 5, 6, 9, 12]
]
for tenor, rate in zip(liborRatesTenor, liborRates):
print(tenor, "\t\t\t", rate)
# Swap data record
# 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())
print("Description of the Swap used for the Yield Curve construction")
print("Tenor of the fixed leg: ", Swap_fixedLegTenor)
print("Index of the floated leg: ", Swap_iborIndex.name)
print("Maturity Rate ")
swapRates = []
swapRatesTenor = []
# INPUT : all the following data are input : the rate and the corresponding tenor
# You could make the choice of more or less data
# --> However you have tho choice the instruments with different maturities
swapRates = [
0.005681, 0.006970, 0.009310, 0.012010, 0.014628, 0.016881, 0.018745,
0.020260, 0.021545
]
swapRatesTenor = [Period(i, Years) for i in range(2, 11)]
for tenor, rate in zip(swapRatesTenor, swapRates):
print(tenor, "\t\t\t", rate)
# ++++++++++++++++++++ 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))
# +++++++++++++++++++++ Swap
SwapFamilyName = currency.name + "swapIndex"
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
riskFreeTS = PiecewiseYieldCurve.from_reference_date(
BootstrapTrait.ZeroYield, Interpolator.Linear, settlementDate,
instruments, dayCounter)
# ++++++++++++++++++ build of the underlying process : with a Black-Scholes model
print('Creating process')
bsProcess = BlackScholesProcess(underlying_priceH, riskFreeTS, flatVolTS)
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++ Description of the option +++++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Option_name = "IBM Option"
maturity = Date(26, Jan, 2013)
strike = 190
option_type = 'call'
# Here, as an implementation exemple, we make the test with borth american and european exercise
europeanExercise = EuropeanExercise(maturity)
# The emericanExercise need also the settlement date, as his right to exerce the buy or call start at the settlement date!
#americanExercise = AmericanExercise(settlementDate, maturity)
americanExercise = AmericanExercise(maturity, settlementDate)
print("**********************************")
print("Description of the option: ", Option_name)
print("Date of maturity: ", maturity)
print("Type of the option: ", option_type)
print("Strike of the option: ", strike)
# ++++++++++++++++++ Description of the discrete dividends
# INPUT You have to determine the frequece and rates of the discrete dividend. Here is a sollution, but she's not the only one.
# Last know dividend:
dividend = 0.75 #//0.75
next_dividend_date = Date(10, Feb, 2012)
# HERE we have make the assumption that the dividend will grow with the quarterly croissance:
dividendCroissance = 1.03
dividendfrequence = Period(3, Months)
dividendDates = []
dividends = []
d = next_dividend_date
while d <= maturity:
dividendDates.append(d)
dividends.append(dividend)
d = d + dividendfrequence
dividend *= dividendCroissance
print("Discrete dividends ")
print("Dates Dividends ")
for date, div in zip(dividendDates, dividends):
print(date, " ", div)
# ++++++++++++++++++ Description of the final payoff
payoff = PlainVanillaPayoff(option_type, strike)
# ++++++++++++++++++ The OPTIONS : (American and European) with their dividends description:
dividendEuropeanOption = DividendVanillaOption(payoff, europeanExercise,
dividendDates, dividends)
dividendAmericanOption = DividendVanillaOption(payoff, americanExercise,
dividendDates, dividends)
# just too test
europeanOption = VanillaOption(payoff, europeanExercise)
americanOption = VanillaOption(payoff, americanExercise)
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++ Description of the pricing +++++++++++++++++++++++++++++++++++++
# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
# For the european options we have a closed analytic formula: The Black Scholes:
dividendEuropeanEngine = AnalyticDividendEuropeanEngine(bsProcess)
# For the american option we have make the choice of the finite difference model with the CrankNicolson scheme
# this model need to precise the time and space step
# More they are greater, more the calul will be precise.
americanGirdPoints = 600
americanTimeSteps = 600
dividendAmericanEngine = FDDividendAmericanEngine('CrankNicolson',
bsProcess,
americanTimeSteps,
americanGirdPoints)
# just to test
europeanEngine = AnalyticEuropeanEngine(bsProcess)
americanEngine = FDAmericanEngine('CrankNicolson', bsProcess,
americanTimeSteps, americanGirdPoints)
# ++++++++++++++++++++ Valorisation ++++++++++++++++++++++++++++++++++++++++
# Link the pricing Engine to the option
dividendEuropeanOption.set_pricing_engine(dividendEuropeanEngine)
dividendAmericanOption.set_pricing_engine(dividendAmericanEngine)
# just to test
europeanOption.set_pricing_engine(europeanEngine)
americanOption.set_pricing_engine(americanEngine)
# Now we make all the needing calcul
# ... and final results
print(
"NPV of the European Option with discrete dividends=0: {:.4f}".format(
dividendEuropeanOption.npv))
print("NPV of the European Option without dividend: {:.4f}".format(
europeanOption.npv))
print(
"NPV of the American Option with discrete dividends=0: {:.4f}".format(
dividendAmericanOption.npv))
print("NPV of the American Option without dividend: {:.4f}".format(
americanOption.npv))
# just a single test
print("ZeroRate with a maturity at ", maturity, ": ", \
riskFreeTS.zero_rate(maturity, dayCounter, Simple))
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 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(BootstrapTrait.Discount,
Interpolator.LogLinear,
settlement_date,
rate_helpers,
ts_day_counter,
tolerance)
return ts
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])
