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|
from libc.stdlib cimport malloc, free, calloc
from libc.string cimport memcpy
from libc.math cimport log1p, log
from libcpp.vector cimport vector
from date cimport (JpmcdsStringToDateInterval, pydate_to_TDate, dcc,
JpmcdsDateIntervalToFreq, JpmcdsDateFwdThenAdjust, TDate_to_pydate,
JpmcdsDateFromBusDaysOffset, JpmcdsStringToDayCountConv, ACT_360)
from date import dcc_tostring
from cdsone cimport JpmcdsStringToStubMethod, TStubMethod
from legs cimport (JpmcdsCdsContingentLegMake, JpmcdsCdsFeeLegMake,
JpmcdsContingentLegPV, JpmcdsFeeLegPV, FeeLegAI, JpmcdsFeeLegFree)
cimport cython
cimport numpy as np
import numpy as np
np.import_array()
import pandas as pd
cdef extern from "numpy/arrayobject.h":
void PyArray_ENABLEFLAGS(np.ndarray arr, int flags)
cdef int SUCCESS = 0
cpdef public enum BadDay:
FOLLOW = <long>'F'
PREVIOUS = <long>'P'
NONE = <long>'N'
MODIFIED = <long>'M'
cdef inline shared_ptr[TCurve] make_shared(TCurve* ptr):
return shared_ptr[TCurve](ptr, JpmcdsFreeTCurve)
cdef class Curve(object):
def __getstate__(self):
cdef TCurve* curve = self._thisptr.get()
cdef int num_items = curve.fNumItems
return (num_items,
<bytes>(<char*>curve.fArray)[:sizeof(TRatePt)*num_items],
curve.fBaseDate,
curve.fBasis,
curve.fDayCountConv)
def __setstate__(self, state):
cdef:
int num_items
char* rates
TDate base_date
double basis
long dcc
TCurve* new_curve
num_items, rates, base_date, basis, dcc = state
new_curve = <TCurve*>malloc(sizeof(TCurve))
new_curve.fNumItems = num_items
new_curve.fArray = <TRatePt*>malloc(sizeof(TRatePt) * num_items)
memcpy(new_curve.fArray, rates, sizeof(TRatePt) * num_items)
new_curve.fBaseDate = base_date
new_curve.fBasis = basis
new_curve.fDayCountConv = dcc
self._thisptr = make_shared(new_curve)
def __hash__(self):
cdef TCurve* curve = self._thisptr.get()
cdef int num_items = curve.fNumItems
return hash((num_items,
<bytes>(<char*>curve.fArray)[:sizeof(TRatePt)*num_items],
curve.fBaseDate,
curve.fBasis,
curve.fDayCountConv))
def inspect(self):
""" method to inspect the content of the C struct
Returns
-------
dict
contains `base_date`, `basis`, `day_count_counvention` and `data`
"""
return {'base_date': self.base_date,
'basis': self._thisptr.get().fBasis,
'day_count_convention': dcc_tostring(self._thisptr.get().fDayCountConv),
'data': fArray_to_list(self._thisptr.get().fArray, self._thisptr.get().fNumItems)}
@cython.boundscheck(False)
def to_series(self, bint forward=True):
cdef np.npy_intp n = self._thisptr.get().fNumItems
cdef np.ndarray[np.float64_t,ndim=1] h = np.PyArray_EMPTY(1, &n, np.NPY_DOUBLE, 0)
cdef np.ndarray[np.int64_t,ndim=1] d = np.PyArray_EMPTY(1, &n, np.NPY_INT64, 0)
cdef size_t i
cdef TRatePt* it = self._thisptr.get().fArray
cdef double t1, h1, t2, h2
t1 = 0
h1 = 0
cdef base_date = self._thisptr.get().fBaseDate
if forward:
for i in range(n):
h2 = it[i].fRate
t2 = (it[i].fDate - base_date)/365.
h[i] = (h2 * t2 - h1 * t1) / (t2 - t1)
d[i] = it[i].fDate -134774
h1 = h2
t1 = t2
else:
for i in range(n):
h[i] = it[i].fRate
d[i] = it[i].fDate -134774
return pd.Series(h, index=d.view('M8[D]'), name='hazard_rates')
def __iter__(self):
cdef:
size_t i = 0
TRatePt* it = self._thisptr.get().fArray
for i in range(self._thisptr.get().fNumItems):
yield (TDate_to_pydate(it[i].fDate), it[i].fRate)
def __len__(self):
return self._thisptr.get().fNumItems
def __deepcopy__(self, memo):
cdef Curve sc = type(self).__new__(type(self))
sc._thisptr = make_shared(JpmcdsCopyCurve(self._thisptr.get()))
return sc
@property
@cython.cdivision(True)
def forward_hazard_rates(self):
cdef double t1, h1, t2, h2
cdef np.npy_intp shape = self._thisptr.get().fNumItems
t1 = 0
h1 = 0
cdef TCurve* curve = self._thisptr.get()
cdef double* data = <double*>malloc(curve.fNumItems * sizeof(double))
cdef size_t i
if <Basis>curve.fBasis == Basis.CONTINUOUS:
for i in range(curve.fNumItems):
h2 = curve.fArray[i].fRate
t2 = (curve.fArray[i].fDate - curve.fBaseDate)/365.
data[i] = (h2 * t2 - h1 * t1) / (t2 - t1)
h1 = h2
t1 = t2
elif <Basis>curve.fBasis == Basis.ANNUAL_BASIS:
for i in range(curve.fNumItems):
h2 = log1p(curve.fArray[i].fRate)
t2 = (curve.fArray[i].fDate - curve.fBaseDate)/365.
data[i] = (h2 * t2 - h1 * t1) / (t2 - t1)
h1 = h2
t1 = t2
else:
raise ValueError("Can only convert CONTINUOUS and ANNUAL_BASIS")
cdef np.ndarray[np.float64_t] out = \
np.PyArray_SimpleNewFromData(1, &shape, np.NPY_DOUBLE, data)
PyArray_ENABLEFLAGS(out, np.NPY_OWNDATA)
return out
@property
def base_date(self):
return TDate_to_pydate(self._thisptr.get().fBaseDate)
def __forward_zero_price(self, d2, d1=None):
""" computes the forward zero price at a given date.
Parameters
----------
date : :class:`datetime.date`
Returns
-------
float
"""
if not self._thisptr:
raise ValueError('curve is empty')
cdef TDate start_date
if d1 is None:
start_date = self._thisptr.get().fBaseDate
return JpmcdsForwardZeroPrice(self._thisptr.get(), start_date,
pydate_to_TDate(d2))
else:
return JpmcdsForwardZeroPrice(self._thisptr.get(), pydate_to_TDate(d1),
pydate_to_TDate(d2))
cdef fArray_to_list(TRatePt* fArray, int fNumItems):
cdef size_t i
cdef list l = []
for i in range(fNumItems):
l.append((TDate_to_pydate(fArray[i].fDate), fArray[i].fRate))
return l
cdef class YieldCurve(Curve):
""" Initialize a yield curve from a list of zero coupon rates
Parameters
----------
types : str
string containing only the letters 'M' (for Money Market ) and
'S' (for swaps) to describe the type of quotes
periods : list of str
Describe the maturity of each instrument (Example: ['3M', '2Y'])
rates: array.array
Array of double containing the quotes
mm_dcc : str
Day count convention for the money market instrument.
fixed_swap_period : str
Period of the fixed leg of the swap.
float_swap_period : str
Period of the floating leg of the swap.
fixed_swap_dcc : str
Day count convention for the fixed leg of the swap.
float_swap_dcc : str
Day count convention for the floating leg of the swap.
bad_day_conv : int
Business day convention.
.. warning:: Instruments need to be sorted by tenor!
"""
def __init__(self, date, str types,
list periods, double[:] rates,
str mm_dcc, str fixed_swap_period, str float_swap_period,
str fixed_swap_dcc, str float_swap_dcc, BadDay bad_day_conv):
cdef:
double fixed_freq
double float_freq
TDateInterval ivl
char* routine = 'zerocurve'
TDate value_date = pydate_to_TDate(date)
self._ninstr = len(periods)
self._dates = <TDate*>malloc(self._ninstr * sizeof(TDate))
cdef TDate settle_date
if JpmcdsDateFromBusDaysOffset(value_date, 2, "None", &settle_date)!= SUCCESS:
raise ValueError
cdef TDateInterval tmp
cdef long period_adjust
for i, p in enumerate(periods):
period_bytes = p.encode('utf-8')
if JpmcdsStringToDateInterval(period_bytes, routine, &tmp) != SUCCESS:
raise ValueError
if types[i] == 'M':
period_adjust = MODIFIED
else:
period_adjust = NONE
if JpmcdsDateFwdThenAdjust(settle_date, &tmp, period_adjust,
"None", &self._dates[i]) != SUCCESS:
raise ValueError('Invalid interval')
cdef bytes fixed_bytes = fixed_swap_period.encode('utf-8')
cdef bytes float_bytes = float_swap_period.encode('utf-8')
cdef bytes types_bytes = types.encode('utf-8')
if JpmcdsStringToDateInterval(<char*>fixed_bytes, routine, &ivl) != SUCCESS:
raise ValueError
if JpmcdsDateIntervalToFreq(&ivl, &fixed_freq) != SUCCESS:
raise ValueError
if JpmcdsStringToDateInterval(float_bytes, routine, &ivl) != SUCCESS:
raise ValueError
if JpmcdsDateIntervalToFreq(&ivl, &float_freq) != SUCCESS:
raise ValueError
self._thisptr = make_shared(JpmcdsBuildIRZeroCurve(
value_date, types_bytes, self._dates,
&rates[0], self._ninstr, dcc(mm_dcc), <long> fixed_freq,
<long> float_freq, dcc(fixed_swap_dcc), dcc(float_swap_dcc),
bad_day_conv, b"None"
))
def __dealloc__(self):
## __dealloc__ of superclass is called by cython so no need to call here
if self._dates:
free(self._dates)
def __getstate__(self):
cdef Py_ssize_t size = sizeof(TRatePt) * self._ninstr
cdef bytes dates = (<char*>self._dates)[:size]
return super().__getstate__() + (self._ninstr, dates)
def __setstate__(self, state):
super().__setstate__(state[:5])
self._ninstr = <int>state[5]
cdef size_t size = sizeof(TRatePt) * self._ninstr
self._dates = <TDate*>malloc(size)
memcpy(self._dates, <char*> state[6], size)
@classmethod
def from_discount_factors(cls, base_date, list dates, double[:] dfs, str day_count_conv):
""" build a yield curve from a list of discount factors """
cdef TDate base_date_c = pydate_to_TDate(base_date)
cdef YieldCurve yc = cls.__new__(cls)
yc._ninstr = len(dates)
yc._dates = <TDate*>malloc(sizeof(TDate) * yc._ninstr)
cdef size_t i
cdef double* rates = <double*>malloc(sizeof(double) * yc._ninstr)
for i, d in enumerate(dates):
yc._dates[i] = pydate_to_TDate(d)
JpmcdsDiscountToRateYearFrac(dfs[i], <double>(yc._dates[i]-base_date_c)/365.,
<double>1, &rates[i])
yc._thisptr = make_shared(
JpmcdsMakeTCurve(base_date_c, yc._dates, rates, dfs.shape[0],
<double>1, dcc(day_count_conv)))
return yc
discount_factor = Curve.__forward_zero_price
@property
def dates(self):
""" returns the list of instrument dates
"""
cdef size_t i
return [TDate_to_pydate(self._dates[i]) for i in range(self._ninstr)]
def expected_forward_curve(self, forward_date):
""" returns the expected forward curve """
cdef TDate forward_date_c = pydate_to_TDate(forward_date)
cdef YieldCurve yc = YieldCurve.__new__(YieldCurve)
cdef size_t i = 0
while self._dates[i] < forward_date_c:
i += 1
yc._ninstr = self._ninstr - i
yc._dates = <TDate*>malloc(sizeof(TDate) * (self._ninstr-i))
cdef double* rates = <double*>malloc(sizeof(double) * yc._ninstr)
cdef size_t k
cdef double df
for k in range(yc._ninstr):
yc._dates[k] = self._dates[i]
df = JpmcdsForwardZeroPrice(self._thisptr.get(), forward_date_c, self._dates[i])
JpmcdsDiscountToRateYearFrac(
df, <double>(self._dates[i] - forward_date_c)/365.,
<double>1, &rates[k])
i += 1
yc._thisptr = make_shared(JpmcdsMakeTCurve(
forward_date_c, yc._dates, rates, yc._ninstr,
<double>1, self._thisptr.get().fDayCountConv))
return yc
@cython.cdivision(True)
cdef void tweak_curve(TCurve* sc, TCurve* sc_tweaked, double epsilon,
vector[double]& h, const vector[double]& T, unsigned long mask) nogil:
## We want to tweak in the forward space, so we convert the hazard rates
## into forward rates and then back
cdef double h1, h2, t1, t2
h1 = t1 = 0
cdef size_t i
for i in range(T.size()):
h2 = sc.fArray[i].fRate
t2 = T[i]
h[i] = (h2 * t2 - h1 * t1) / (t2 - t1)
if mask == 0 or (mask >> i) & 1:
h[i] *= (1 + epsilon)
h1 = h2
t1 = t2
t1 = 0
cdef double c = 0
for i in range(T.size()):
c += (T[i] - t1) * h[i]
sc_tweaked.fArray[i].fRate = c / T[i]
t1 = T[i]
cdef class SpreadCurve(Curve):
"""
Initialize a SpreadCurve from a list of spreads and maturity.
Parameters
----------
today : :class:`datetime.date`
yc : :class:`~pyisda.curve.YieldCurve`
start_date : :class:`datetime.date`
step_in_date : :class:`datetime.date`
cash_settle_date: :class:`datetime.date`
end_dates : list of :class:`datetime.date`
coupon_rates : :class:`array.array` of double
recovery_rate : float
pay_accrued_on_default : bool, optional
Default to True
"""
@cython.boundscheck(False)
@cython.wraparound(False)
@cython.initializedcheck(False)
def __init__(self, today, YieldCurve yc, start_date, step_in_date,
cash_settle_date, end_dates,
double[:] coupon_rates, double[:] upfront_rates,
double[:] recovery_rates, bint pay_accrued_on_default=True,
str ticker=None):
cdef TDate today_c = pydate_to_TDate(today)
cdef TDate step_in_date_c = pydate_to_TDate(step_in_date)
cdef TDate cash_settle_date_c = pydate_to_TDate(cash_settle_date)
cdef TDate start_date_c = pydate_to_TDate(start_date)
cdef int n_dates = len(end_dates)
cdef TDate* end_dates_c = NULL
cdef TDate[:] end_dates_view
cdef TCurve* curve = NULL
cdef unsigned int includes = 0
cdef size_t i
if cash_settle_date_c < yc._thisptr.get().fBaseDate:
raise ValueError("cash_settle_date: {0} is anterior to yc's base_date: {1}".
format(cash_settle_date, yc.base_date))
if isinstance(end_dates, list):
end_dates_c = <TDate*>malloc(n_dates * sizeof(TDate))
end_dates_view = <TDate[:n_dates]>end_dates_c
for i, d in enumerate(end_dates):
end_dates_view[i] = pydate_to_TDate(d)
if upfront_rates[i] == upfront_rates[i]:
includes |= 1 << i
else:
end_dates_view = memoryview(end_dates)
for i in range(n_dates):
if upfront_rates[i] == upfront_rates[i]:
includes |= 1 << i
cdef TStubMethod stub_type
if JpmcdsStringToStubMethod(b"f/s", &stub_type) != 0:
raise ValueError("can't convert stub")
with nogil:
curve = JpmcdsCleanSpreadCurve(today_c,
yc._thisptr.get(),
start_date_c,
step_in_date_c,
cash_settle_date_c,
n_dates,
&end_dates_view[0],
&coupon_rates[0],
&upfront_rates[0],
includes,
&recovery_rates[0],
pay_accrued_on_default,
NULL,
ACT_360,
&stub_type,
<long>'M',
b'NONE')
if end_dates_c:
free(end_dates_c)
if curve == NULL:
raise ValueError("Didn't init the survival curve properly")
else:
self._thisptr = make_shared(curve)
self.ticker = ticker.encode()
survival_probability = Curve.__forward_zero_price
def __getstate__(self):
return super().__getstate__() + (self.ticker,)
def __setstate__(self, state):
super().__setstate__(state[:5])
self.ticker = state[5]
@classmethod
def from_flat_hazard(cls, base_date, double rate, Basis basis=CONTINUOUS,
str day_count_conv='Actual/365F'):
"""
Alternative constructor for flat hazard rate Curve.
Parameters
----------
base_date : datetime.date
Starting date of the curve
rate : float
Flat hazard rate.
basis : int, optional
Default to :data:`CONTINUOUS`
day_count_conv : str, optional
Default to 'Actual/365F'
"""
cdef TDate base_date_c = pydate_to_TDate(base_date)
cdef SpreadCurve sc = cls.__new__(cls)
cdef TDate max_date = 200000 # can go higher but this should be more than enough
sc._thisptr = make_shared(JpmcdsMakeTCurve(base_date_c, &max_date, &rate, 1,
<double>basis, dcc(day_count_conv)))
return sc
@cython.boundscheck(False)
def tweak_curve(self, double epsilon, bint multiplicative=True,
unsigned long mask=0, bint inplace=False):
"""
Tweak the survival curve in place.
Parameters
----------
epsilon : double
tweaking factor (either additive or multiplicative)
multiplicative : bool, optional
do we scale by 1+epsilon or add epsilon (default multiplicative).
mask : array of bool or None
If None (default), tweak everything, otherwise only tweak values
in the mask.
"""
cdef:
TCurve* curve_tweaked
SpreadCurve sc
int num_items = self._thisptr.get().fNumItems
vector[double] h
vector[double] T
size_t i
if not inplace:
sc = SpreadCurve.__new__(SpreadCurve)
curve_tweaked = JpmcdsCopyCurve(self._thisptr.get())
sc._thisptr = make_shared(curve_tweaked)
else:
sc = self
curve_tweaked = self._thisptr.get()
h = vector[double](num_items)
T = vector[double](num_items)
for i in range(num_items):
T[i] = (curve_tweaked.fArray[i].fDate - curve_tweaked.fBaseDate) / 365.
if mask != 0:
tweak_curve(self._thisptr.get(), curve_tweaked, epsilon, h, T, mask)
return sc
@cython.boundscheck(False)
def par_spread(self, today, step_in_date, start_date, end_dates,
double[:] recovery_rates, YieldCurve yc, bint pay_accrued_on_default):
cdef TDate today_c = pydate_to_TDate(today)
cdef TDate step_in_date_c = pydate_to_TDate(step_in_date)
cdef TDate start_date_c = pydate_to_TDate(start_date)
cdef int n_dates = len(end_dates)
cdef TDate* end_dates_c = <TDate*>malloc(n_dates * sizeof(TDate))
cdef size_t i
for i, d in enumerate(end_dates):
end_dates_c[i] = pydate_to_TDate(d)
cdef double* par_spreads
cdef TStubMethod stub_type
if JpmcdsStringToStubMethod(b"f/s", &stub_type) != 0:
raise ValueError("can't convert stub")
cdef int result
with nogil:
par_spreads = <double*>malloc(n_dates * sizeof(double))
result = JpmcdsCdsParSpreads(today_c,
step_in_date_c,
start_date_c,
n_dates,
end_dates_c,
pay_accrued_on_default,
NULL,
&stub_type,
ACT_360,
<long>'M',
b'NONE',
yc._thisptr.get(),
self._thisptr.get(),
&recovery_rates[0],
par_spreads)
free(end_dates_c)
cdef list r = []
if result != SUCCESS:
raise ValueError("can't compute par spread")
else:
for i in range(n_dates):
r.append(par_spreads[i])
free(par_spreads)
return r
@property
def ticker(self):
return self.ticker.decode()
@cython.boundscheck(False)
@cython.wraparound(False)
@cython.initializedcheck(False)
@cython.cdivision(True)
def fill_curve(SpreadCurve sc, TDate[:] end_dates):
cdef size_t n_dates = end_dates.shape[0]
cdef double* rates = <double*>malloc(n_dates * sizeof(TDate))
cdef size_t i
cdef TDate base_date = sc._thisptr.get().fBaseDate
cdef double t
for i in range(n_dates):
t = (end_dates[i] - base_date)/365.
rates[i] = -log(JpmcdsForwardZeroPrice(sc._thisptr.get(), base_date,
end_dates[i])) / t
cdef TCurve* curve = JpmcdsMakeTCurve(sc._thisptr.get().fBaseDate,
&end_dates[0],
rates,
n_dates,
5000.,
2)
cdef SpreadCurve sc_new = SpreadCurve.__new__(SpreadCurve)
sc_new._thisptr = make_shared(curve)
sc_new.ticker = sc.ticker
free(rates)
return sc_new
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