定期付息债券应计利息 · ISDA(国际通用)
给定发行日、结算日、首息日等计算应计利息
根据债券发行日、结算日、首次付息日、面值、息票率等计算定期付息债券的应计利息。
格式 yyyy-mm-dd
格式 yyyy-mm-dd
格式 yyyy-mm-dd
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
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_acrubond(
issue_date: str,
settle_date: str,
first_coupon_date: str,
face: float,
coupon_rate: float,
period: int = 2,
basis: int = 0,
):
"""
定期付息债券的应计利息
对应 MATLAB: AccruInterest = acrubond(IssueDate, Settle, FirstCouponDate, Face, CouponRate, period, basis)
"""
try:
# ---- 参数校验(仅必要的) ----
if coupon_rate < 0:
return {"ok": False, "msg": "息票率不能为负"}
if face <= 0:
return {"ok": False, "msg": "面值必须大于 0"}
issue_qd = _parse_date(issue_date)
settle_qd = _parse_date(settle_date)
first_coupon_qd = _parse_date(first_coupon_date)
# 关键修正:Settle 只需晚于 IssueDate,不需要早于 FirstCouponDate
if issue_qd >= settle_qd:
return {"ok": False, "msg": "发行日必须早于结算日"}
if first_coupon_qd <= issue_qd:
return {"ok": False, "msg": "首次付息日必须晚于发行日"}
coupon_period, freq = _map_period(period)
day_counter = _map_basis(basis)
# ---- 零息:无定期付息,应计利息为 0 ----
if period == 0:
return {"ok": True, "accru_interest": 0.0}
# ---- 构造完整付息时间表 ----
# 首息期由 IssueDate -> FirstCouponDate 决定(可能是标准/短期/长期首息期)。
# 之后以 FirstCouponDate 为基准,按 coupon_period 向后滚动。
# 需要一直滚动到最后一个严格大于 Settle 的付息日之后,
# 以确保 BondFunctions.accruedAmount 能定位到 Settle 所在的付息区间。
dates = [issue_qd, first_coupon_qd]
next_date = first_coupon_qd + coupon_period
# 至少覆盖到 Settle 之后两个周期
target = settle_qd + coupon_period * 2
while next_date <= target:
dates.append(next_date)
next_date = next_date + coupon_period
schedule = ql.Schedule(dates)
bond = ql.FixedRateBond(
settlementDays=0,
faceAmount=face,
schedule=schedule,
coupons=[coupon_rate] * (len(dates) - 1),
paymentDayCounter=day_counter,
)
accrued = ql.BondFunctions.accruedAmount(bond, settle_qd)
return {
"ok": True,
"accru_interest": round(accrued, 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:半年付息,实际/实际(结算日在首息期之内)")
print("=" * 60)
r1 = qjquant_calu_acrubond(
issue_date="1983-01-31",
settle_date="1993-03-01",
first_coupon_date="1983-07-31",
face=100.0,
coupon_rate=0.1,
period=2,
basis=0,
)
print(r1)
print()
print("=" * 60)
print("示例 2:年付息,30/360 USA(结算日在第二个付息周期)")
print("=" * 60)
r2 = qjquant_calu_acrubond(
issue_date="2024-01-15",
settle_date="2025-06-20",
first_coupon_date="2025-01-15",
face=100.0,
coupon_rate=0.05,
period=1,
basis=1,
)
print(r2)
print()
print("=" * 60)
print("示例 3:季付,实际/365 Fixed(结算日在首息期之内)")
print("=" * 60)
r3 = qjquant_calu_acrubond(
issue_date="2024-01-15",
settle_date="2024-04-10",
first_coupon_date="2024-04-15",
face=100.0,
coupon_rate=0.04,
period=4,
basis=3,
)
print(r3)
print()
print("=" * 60)
print("示例 4:零息债(period=0,应计利息恒为 0)")
print("=" * 60)
r4 = qjquant_calu_acrubond(
issue_date="2024-01-15",
settle_date="2024-05-20",
first_coupon_date="2024-07-15",
face=100.0,
coupon_rate=0.055,
period=0,
basis=0,
)
print(r4)