债券等值收益率 · ISDA(国际通用)
从价格反推债券等价收益率
提交格式 yyyy-mm-dd(显示格式随系统区域设置)
提交格式 yyyy-mm-dd(显示格式随系统区域设置)
计算结果
点击「计算」查看输出
code
计算逻辑代码
以下为「ISDA国际通用」QuantLib 代码示例。
# 依赖版本:
# python==3.9
# QuantLib==1.43
from datetime import datetime, date as py_date
import traceback
import QuantLib as ql
from datetime import datetime
import traceback
import QuantLib as ql
# ============================================================
# 工具函数
# ============================================================
def _parse_date(s: str) -> ql.Date:
"""解析 'yyyy-mm-dd' 字符串为 ql.Date"""
d = datetime.strptime(s.strip(), "%Y-%m-%d")
return ql.Date(d.day, d.month, d.year)
def _map_period(period: int):
"""年付息次数 -> (ql.Period, ql.Frequency)"""
mapping = {
0: (None, ql.NoFrequency),
1: (ql.Period(ql.Annual), ql.Annual),
2: (ql.Period(ql.Semiannual), ql.Semiannual),
3: (ql.Period(4, ql.Months), ql.EveryFourthMonth),
4: (ql.Period(ql.Quarterly), ql.Quarterly),
6: (ql.Period(ql.Bimonthly), ql.Bimonthly),
12: (ql.Period(ql.Monthly), ql.Monthly),
}
if period not in mapping:
raise ValueError(f"不支持的 Period: {period}")
return mapping[period]
def _map_basis(basis: int):
"""日计数基准编号 -> ql.DayCounter"""
mapping = {
0: ql.ActualActual(ql.ActualActual.ISDA),
1: ql.Thirty360(ql.Thirty360.USA),
2: ql.Actual360(),
3: ql.Actual365Fixed(),
4: ql.Thirty360(ql.Thirty360.BondBasis),
5: ql.Thirty360(ql.Thirty360.ISDA),
6: ql.Thirty360(ql.Thirty360.European),
7: ql.Actual365Fixed(),
8: ql.ActualActual(ql.ActualActual.ISMA),
9: ql.Actual360(),
10: ql.Actual365Fixed(),
11: ql.Thirty360(ql.Thirty360.EurobondBasis),
12: ql.Actual365Fixed(),
13: ql.Business252(),
}
if basis not in mapping:
raise ValueError(f"暂不支持的 Basis: {basis}")
return mapping[basis]
# ============================================================
# 核心计算函数
# ============================================================
def qjquant_calu_bndyield(
price_var: float,
coupon_var: float,
settle_var: str,
maturity_var: str,
period_var: int = 2,
basis_var: int = 0,
):
try:
# ---------- 参数校验 ----------
if coupon_var < 0:
return {"ok": False, "msg": "息票率不能为负"}
if price_var <= 0:
return {"ok": False, "msg": "价格必须为正"}
settle_date = _parse_date(settle_var)
maturity_date = _parse_date(maturity_var)
if settle_date >= maturity_date:
return {"ok": False, "msg": "结算日必须早于到期日"}
coupon_period, freq = _map_period(period_var)
day_counter = _map_basis(basis_var)
# MATLAB SIA basis(0-7) 默认贴现基准 = Actual/Actual
if basis_var <= 7:
discount_basis = ql.ActualActual(ql.ActualActual.ISMA)
else:
discount_basis = day_counter
# 传入的是净价,需要用 BondPrice.Clean 包装
bond_price = ql.BondPrice(float(price_var), ql.BondPrice.Clean)
if period_var == 0:
# ========== 零息债 ==========
bond = ql.ZeroCouponBond(
settlementDays=0,
calendar=ql.NullCalendar(),
faceAmount=100.0,
maturityDate=maturity_date,
paymentConvention=ql.Unadjusted,
redemption=100.0,
issueDate=settle_date,
)
yield_val = bond.bondYield(
bond_price,
discount_basis,
ql.Compounded,
ql.Annual,
settle_date,
)
else:
# ========== 附息债 ==========
coupon_period, freq = _map_period(period_var)
# 向前推 issue_date
issue_date = maturity_date
while issue_date >= settle_date:
issue_date = issue_date - coupon_period
schedule = ql.Schedule(
issue_date, maturity_date, coupon_period,
ql.NullCalendar(), ql.Unadjusted, ql.Unadjusted,
ql.DateGeneration.Forward, False,
)
bond = ql.FixedRateBond(
settlementDays=0,
faceAmount=100.0,
schedule=schedule,
coupons=[coupon_var],
paymentDayCounter=discount_basis,
)
compounding_freq = ql.Semiannual if basis_var <= 7 else freq
yield_val = bond.bondYield(
bond_price,
discount_basis,
ql.Compounded,
compounding_freq,
settle_date,
)
return {
"ok": True,
"yield": round(yield_val, 4),
}
except ValueError as ve:
traceback.print_exc()
return {"ok": False, "msg": f"参数错误: {ve}"}
except Exception as e:
traceback.print_exc()
return {"ok": False, "msg": f"未知错误: {e}"}
# ============================================================
# 示例:复制本文件后直接运行
# ============================================================
if __name__ == "__main__":
print("=" * 60)
print("示例 1:附息债(半年付息,实际/实际,默认 basis=0)")
print("=" * 60)
r1 = qjquant_calu_bndyield(
price_var=95.5,
coupon_var=0.05,
settle_var="1997-01-20",
maturity_var="2002-06-15",
period_var=2,
basis_var=0,
)
print(r1)
print()
print("=" * 60)
print("示例 2:附息债(年付息,30/360 USA,basis=1)")
print("=" * 60)
r2 = qjquant_calu_bndyield(
price_var=102.0,
coupon_var=0.045,
settle_var="2024-03-15",
maturity_var="2029-06-20",
period_var=1,
basis_var=1,
)
print(r2)
print()
print("=" * 60)
print("示例 3:零息债(period=0,实际/实际)")
print("=" * 60)
r3 = qjquant_calu_bndyield(
price_var=92.0,
coupon_var=0.0,
settle_var="2024-03-15",
maturity_var="2026-06-20",
period_var=0,
basis_var=0,
)
print(r3)
print()
print("=" * 60)
print("示例 4:附息债(季付,实际/365 Fixed,basis=3)")
print("=" * 60)
r4 = qjquant_calu_bndyield(
price_var=98.5,
coupon_var=0.04,
settle_var="2024-03-15",
maturity_var="2029-06-20",
period_var=4,
basis_var=3,
)
print(r4)