到期含息价格 prmat · ISDA(国际通用)
计算到期一次性还本付息证券的价格与应计利息。
零息债或纯贴现证券可将
CouponRate 设为 0。
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)
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
import traceback
import QuantLib as ql
# ============================================================
# 工具函数(原 util 模块内联)
# ============================================================
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_prmat(
settle_var: str,
maturity_var: str,
issue_var: str,
face_var: float,
coupon_var: float,
yield_var: float,
basis_var: int = 0,
):
try:
# ---------- 参数校验 ----------
if face_var <= 0:
return {"ok": False, "msg": "面值必须为正"}
if coupon_var < 0:
return {"ok": False, "msg": "息票率不能为负"}
settle_date = _parse_date(settle_var)
maturity_date = _parse_date(maturity_var)
issue_date = _parse_date(issue_var)
if settle_date >= maturity_date:
return {"ok": False, "msg": "结算日必须早于到期日"}
if issue_date > settle_date:
return {"ok": False, "msg": "发行日必须早于或等于结算日"}
dc = _map_basis(basis_var)
# ---------- 计算年分数(与 prmat 公式一致) ----------
T_issue_to_mat = dc.yearFraction(issue_date, maturity_date)
T_issue_to_set = dc.yearFraction(issue_date, settle_date)
# 到期总赎回金额 = 面值 + 累计利息(单利)
redemption_amount = face_var * (1.0 + coupon_var * T_issue_to_mat)
# 应计利息
accru_interest = face_var * coupon_var * T_issue_to_set
# ---------- 关键:设置 QuantLib 评估日为结算日 ----------
ql.Settings.instance().evaluationDate = settle_date
# ---------- 手动构造到期现金流 ----------
cashflow = ql.SimpleCashFlow(redemption_amount, maturity_date)
# ---------- 构建单利折现曲线 ----------
curve = ql.FlatForward(
settle_date,
ql.QuoteHandle(ql.SimpleQuote(yield_var)),
dc,
ql.Simple,
ql.Annual,
)
curve_handle = ql.YieldTermStructureHandle(curve)
# ---------- 用 CashFlows.npv 折现 ----------
dirty_price = ql.CashFlows.npv(
[cashflow],
curve_handle,
True,
settle_date,
settle_date,
)
# ---------- 净价 = 全价 - 应计利息 ----------
clean_price = dirty_price - accru_interest
return {
"ok": True,
"price": round(clean_price, 4),
"accrued_int": round(accru_interest, 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:到期一次还本付息(附息,实际/实际)")
print("=" * 60)
r1 = qjquant_calu_prmat(
settle_var="2024-03-15",
maturity_var="2029-06-20",
issue_var="2024-01-01",
face_var=100.0,
coupon_var=0.05,
yield_var=0.06,
basis_var=0,
)
print(r1)
print()
print("=" * 60)
print("示例 2:零息债(coupon=0,实际/实际)")
print("=" * 60)
r2 = qjquant_calu_prmat(
settle_var="2024-03-15",
maturity_var="2026-06-20",
issue_var="2024-01-01",
face_var=100.0,
coupon_var=0.0,
yield_var=0.04,
basis_var=0,
)
print(r2)
print()
print("=" * 60)
print("示例 3:附息,30/360 USA(basis=1)")
print("=" * 60)
r3 = qjquant_calu_prmat(
settle_var="2024-03-15",
maturity_var="2029-06-20",
issue_var="2024-01-01",
face_var=100.0,
coupon_var=0.05,
yield_var=0.05,
basis_var=1,
)
print(r3)
print()
print("=" * 60)
print("示例 4:附息,实际/365 Fixed(basis=3)")
print("=" * 60)
r4 = qjquant_calu_prmat(
settle_var="2024-06-15",
maturity_var="2027-12-31",
issue_var="2024-01-01",
face_var=100.0,
coupon_var=0.03,
yield_var=0.035,
basis_var=3,
)
print(r4)