import numpy as np from tranche_functions import * from yieldcurve import YC import yaml import datetime import os import pandas as pd import pdb n_int = 500 n_credit = 100 Z, w = GHquad(n_int) with open("../R/index_definitions.yml") as fh: indices = yaml.load(fh) indices['hy21']['maturity'] = datetime.date(1970, 1, 1) + datetime.timedelta(indices['hy21']['maturity']) hy21 = indices['hy21'] hy21["startdate"] = datetime.date(2013, 9, 20) dates = [f[9:19] for f in os.listdir(os.path.join(os.environ['DATA_DIR'], "Backtest")) if "survprob" in f] Rho = np.zeros((len(dates), 3)) for i, d in enumerate(dates): startdate = datetime.datetime.strptime(d, "%Y-%m-%d") ts = YC(startdate) with open(os.path.join(os.environ['DATA_DIR'], "Backtest", "recov_{0}.csv".format(d))) as fh: recov = np.array([float(e) for e in fh], dtype='double', order='F') with open(os.path.join(os.environ['DATA_DIR'], "Backtest", "survprob_{0}.csv".format(d))) as fh: fh.readline() ##skip header SurvProb = np.array([[float(e) for e in line.split(",")] for line in fh], dtype='double', order='F') defaultprob = 1 - SurvProb issuerweights = np.ones(100)/100 rho = 0.4 Ngrid = 101 K = np.array([0, 0.15, 0.25, 0.35, 1]) Kmod = adjust_attachments(K, hy21["loss"], hy21["factor"]) quotes = pd.read_csv(os.path.join(os.environ['BASE_DIR'], "Scenarios", "Calibration", "hy21_tranches_{0}.csv".format(d))) quotes = quotes["Mid"]/100 dK = np.diff(Kmod) quotes = np.cumsum(dK * (1-quotes)) sched = creditSchedule(startdate, "5Yr", 0.05, ts, enddate=hy21["maturity"]) acc = cdsAccrued(startdate, 0.05) for j, q in enumerate(quotes[:-1]): def aux(rho): L, R = BClossdist(defaultprob, issuerweights, recov, rho, Z, w, 101) cl = tranche_cl(L, R, sched, 0, Kmod[j+1]) pl = tranche_pl(L, sched, 0, Kmod[j+1]) return cl+pl+q-acc l, u = (0, 1) for _ in range(10): rho = (l+u)/2. if aux(rho) > 0: u = rho else: l = rho Rho[i, j] = (l+u)/2. print(Rho[i,:])