class Indexing():
def __init__(self, start_date, end_date):
df_metrics = option_data(start_date, end_date)
self.optionset = BaseOptionSet(df_metrics, rf=0.03)
self.optionset.init()
def fun_otm_quote(self, df):
if df[Util.AMT_APPLICABLE_STRIKE] > df['mid_k']:
quote = df['amt_call_quote']
elif df[Util.AMT_APPLICABLE_STRIKE] < df['mid_k']:
quote = df['amt_put_quote']
else:
quote = (df['amt_call_quote'] + df['amt_put_quote']) / 2.0
return quote
def fun_for_p1(self, df):
DK = df['amt_delta_k']
Q = df['amt_otm_quote']
K = df[Util.AMT_APPLICABLE_STRIKE]
res = Q * DK / K**2
return Q * DK / K**2
def fun_for_p2(self, df):
DK = df['amt_delta_k']
Q = df['amt_otm_quote']
K = df[Util.AMT_APPLICABLE_STRIKE]
F = df['F']
return 2 * (1 - math.log(K / F, math.e)) * Q * DK / K**2
def fun_for_p3(self, df):
DK = df['amt_delta_k']
Q = df['amt_otm_quote']
K = df[Util.AMT_APPLICABLE_STRIKE]
F = df['F']
return 3 * (2 * math.log(K / F, math.e) -
math.log(K / F, math.e)**2) * Q * DK / K**2
def fun_for_sigma(self, df):
DK = df['amt_delta_k']
Q = df['amt_otm_quote']
K = df[Util.AMT_APPLICABLE_STRIKE]
return Q * DK / K**2
def get_e1(self, F, K):
return -(1 + math.log(F / K, math.e) - F / K)
def get_e2(self, F, K):
return 2 * math.log(K / F, math.e) * (F / K - 1) + 0.5 * math.log(
K / F, math.e)**2
def get_e3(self, F, K):
return 3 * (math.log(K / F, math.e)**2) * (
(1.0 / 3.0) * math.log(K / F, math.e) + F / K - 1)
def get_S(self, p1, p2, p3):
res = (p3 - 3 * p1 * p2 + 2 * p1**3) / (p2 - p1**2)**1.5
return res
def get_T_quotes(self, df_mdt, eval_date):
df_call = df_mdt[df_mdt[Util.CD_OPTION_TYPE] == Util.STR_CALL].rename(
columns={Util.AMT_CLOSE: 'amt_call_quote'})
df_put = df_mdt[df_mdt[Util.CD_OPTION_TYPE] == Util.STR_PUT].rename(
columns={Util.AMT_CLOSE: 'amt_put_quote'})
df_call = df_call.drop_duplicates(
Util.AMT_APPLICABLE_STRIKE).reset_index(drop=True)
df_put = df_put.drop_duplicates(
Util.AMT_APPLICABLE_STRIKE).reset_index(drop=True)
df = pd.merge(df_call[[
'amt_call_quote', Util.AMT_APPLICABLE_STRIKE, Util.AMT_STRIKE
]],
df_put[['amt_put_quote', Util.AMT_APPLICABLE_STRIKE]],
how='inner',
on=Util.AMT_APPLICABLE_STRIKE)
# df = pd.concat([df_call[['amt_call_quote']], df_put[['amt_put_quote']]], axis=1, join='inner', verify_integrity=True)
df[Util.AMT_UNDERLYING_CLOSE] = df_put[
Util.AMT_UNDERLYING_CLOSE].values[0]
df['amt_cp_diff'] = abs(df['amt_call_quote'] - df['amt_put_quote'])
maturitydt = df_put[Util.DT_MATURITY].values[0]
df[Util.DT_MATURITY] = maturitydt
ttm = (
(maturitydt - eval_date).total_seconds() / 60.0) / (365.0 * 1440)
df['amt_ttm'] = ttm
df['amt_fv'] = math.exp(self.optionset.rf * (ttm))
df = df.sort_values(by=Util.AMT_APPLICABLE_STRIKE).reset_index(
drop=True)
dk = df[Util.AMT_APPLICABLE_STRIKE].diff(periods=2).dropna() / 2.0
dk.loc[1] = df.loc[1, Util.AMT_APPLICABLE_STRIKE] - df.loc[
0, Util.AMT_APPLICABLE_STRIKE]
dk.loc[len(df)] = df.loc[len(df) - 1,
Util.AMT_APPLICABLE_STRIKE] - df.loc[
len(df) - 2, Util.AMT_APPLICABLE_STRIKE]
dk = dk.sort_index()
dk = dk.reset_index(drop=True)
df['amt_delta_k'] = dk
return df
def forward_cboe(self, t_quotes, eval_date):
# ATM strike k0 -- First strike below the forward index level, F
# Forward price F -- F, by identifying the strike price at which the absolute difference
# between the call and put prices is smallest.
df = t_quotes.set_index(Util.AMT_APPLICABLE_STRIKE)
mid_k = df.sort_values(by='amt_cp_diff', ascending=True).index[0]
p_call = df.loc[mid_k, 'amt_call_quote']
p_put = df.loc[mid_k, 'amt_put_quote']
F = df.loc[mid_k, 'amt_fv'] * (p_call - p_put) + mid_k
df['k-f'] = df.index - F
if len(df[df['k-f'] < 0]) > 0:
K0 = df[df['k-f'] < 0].sort_values(by='amt_cp_diff',
ascending=True).index[0]
else:
K0 = df.sort_values(by='amt_cp_diff', ascending=True).index[0]
return mid_k, K0, F
""" K0 is the 1st strike below F0 """
def for_calculation(self, df, eval_date):
mid_k, k0, F = self.forward_cboe(df, eval_date)
ttm = df.loc[0, 'amt_ttm']
S = df.loc[0, 'amt_underlying_close']
implied_r = math.log(F / S, math.e) / ttm
self.implied_rf = implied_r
df['k0'] = k0
df['mid_k'] = mid_k
df['F'] = F
df['amt_otm_quote'] = df.apply(self.fun_otm_quote, axis=1)
return df
def calculate_S_for_skew(self, df):
k0 = df.loc[0, 'k0']
F = df.loc[0, 'F']
e1 = self.get_e1(F, k0)
e2 = self.get_e2(F, k0)
e3 = self.get_e3(F, k0)
df['for_p1'] = df.apply(self.fun_for_p1, axis=1)
df['for_p2'] = df.apply(self.fun_for_p2, axis=1)
df['for_p3'] = df.apply(self.fun_for_p3, axis=1)
fv = df.loc[0, 'amt_fv']
p1 = -fv * df['for_p1'].sum() + e1
p2 = fv * df['for_p2'].sum() + e2
p3 = fv * df['for_p3'].sum() + e3
S = self.get_S(p1, p2, p3)
SKEW = 100 - 10 * S
# S_r = self.get_S(-0.00173,0.003606,-0.00049)
# SKEW_r = 100-10*S_r
return S
def calculate_sigma_for_vix(self, df):
df['for_sigma'] = df.apply(self.fun_for_sigma, axis=1)
k0 = df.loc[0, 'k0']
F = df.loc[0, 'F']
T = df.loc[0, 'amt_ttm']
fv = df.loc[0, 'amt_fv']
v1 = (1.0 / T) * (F / k0 - 1)**2
# v1 = (F / K - 1) ** 2
sum = df['for_sigma'].sum()
sigma = (2.0 / T) * fv * sum - v1
# sigma = 2.0 * fv * sum - v1
return sigma
def calculate(self, eval_date):
df_daily_state = self.optionset.get_current_state()
mdt = self.optionset.get_maturities_list()[0]
if (mdt - self.optionset.eval_date).days <= 5:
mdt1 = self.optionset.get_maturities_list()[1]
mdt2 = self.optionset.get_maturities_list()[2]
else:
mdt1 = self.optionset.get_maturities_list()[0]
mdt2 = self.optionset.get_maturities_list()[1]
df_mdt1 = OptionUtil.get_df_by_mdt(df_daily_state, mdt1)
df_mdt2 = OptionUtil.get_df_by_mdt(df_daily_state, mdt2)
t_quotes1 = self.get_T_quotes(df_mdt1, eval_date)
t_quotes2 = self.get_T_quotes(df_mdt2, eval_date)
# t_quotes1.to_csv('t_quotes1.csv')
# t_quotes2.to_csv('t_quotes2.csv')
calculate1 = self.for_calculation(t_quotes1, eval_date)
calculate2 = self.for_calculation(t_quotes2, eval_date)
S1 = self.calculate_S_for_skew(calculate1)
S2 = self.calculate_S_for_skew(calculate2)
sigma1 = self.calculate_sigma_for_vix(calculate1)
sigma2 = self.calculate_sigma_for_vix(calculate2)
T1 = calculate1.loc[0, 'amt_ttm']
T2 = calculate2.loc[0, 'amt_ttm']
NT1 = (mdt1 - eval_date).total_seconds() / 60.0
NT2 = (mdt2 - eval_date).total_seconds() / 60.0
N30 = 30 * 1440.0
N365 = 365 * 1440.0
w = (NT2 - N30) / (NT2 - NT1)
skew = 100 - 10 * (w * S1 + (1 - w) * S2)
vix = 100 * math.sqrt(
(T1 * sigma1 * w + T2 * sigma2 * (1 - w)) * N365 / N30)
return vix, skew
def get_atm_options(self, maturity):
list_atm_call, list_atm_put = self.optionset.get_options_list_by_moneyness_mthd1(
moneyness_rank=0, maturity=maturity)
atm_call = self.optionset.select_higher_volume(list_atm_call)
atm_put = self.optionset.select_higher_volume(list_atm_put)
return atm_call, atm_put
def get_atm_iv_average(self, maturity):
atm_call, atm_put = self.get_atm_options(maturity)
iv_call = atm_call.get_implied_vol()
iv_put = atm_put.get_implied_vol()
iv_avg = (iv_call + iv_put) / 2
return iv_avg
def run(self):
self.df_res = pd.DataFrame()
print('=' * 120)
print("%10s %20s %20s %20s %20s %20s" %
('eval_date', 'vix', 'skew', 'iv_htr', 'iv_avg', 'htbr'))
print('-' * 120)
while self.optionset.current_index < self.optionset.nbr_index:
eval_date = self.optionset.eval_date
try:
maturity = self.optionset.select_maturity_date(
nbr_maturity, min_holding=min_holding)
iv_htr = self.optionset.get_atm_iv_by_htbr(maturity)
iv_avg = self.get_atm_iv_average(maturity)
htbr = self.optionset.get_htb_rate(maturity)
vix, skew = self.calculate(eval_date)
self.df_res.loc[eval_date, 'skew'] = skew
self.df_res.loc[eval_date, 'vix'] = vix
self.df_res.loc[
eval_date,
'50ETF'] = self.optionset.get_underlying_close()
self.df_res.loc[eval_date, 'htb_rate'] = htbr
self.df_res.loc[eval_date, 'iv_atm_htr'] = iv_htr
self.df_res.loc[eval_date, 'iv_atm_avg'] = iv_avg
print("%10s %20s %20s %20s %20s %20s" %
(eval_date, vix, skew, iv_htr, iv_avg, htbr))
except:
pass
if not self.optionset.has_next(): break
self.optionset.next()
""" namecode : M/SR """
name_code = c.Util.STR_SR
# name_code = c.Util.STR_M
df_metrics = get_comoption_mktdata(start_date, end_date, name_code)
exercise_type = c.OptionExerciseType.AMERICAN
""" namecode : 50ETF """
# name_code = c.Util.STR_50ETF
# df_metrics = get_50option_mktdata(start_date, end_date)
# exercise_type = c.OptionExerciseType.EUROPEAN
table_iv = admin.table_implied_volatilities()
optionset = BaseOptionSet(df_metrics)
optionset.init()
dt_maturity = optionset.select_maturity_date(nbr_maturity=nbr_maturity,
min_holding=min_holding)
spot = optionset.get_underlying_close(maturitydt=dt_maturity)
while optionset.current_index < optionset.nbr_index:
print(optionset.eval_date, spot)
try:
call_list, put_list = optionset.get_options_list_by_moneyness_mthd1(
moneyness_rank=moneyness, maturity=dt_maturity)
except Exception as e:
print(e)
optionset.next()
dt_maturity = optionset.select_maturity_date(nbr_maturity,
min_holding=min_holding)
spot = optionset.get_underlying_close(maturitydt=dt_maturity)
continue
base_option_call = call_list[0]
if exercise_type == c.OptionExerciseType.AMERICAN: