国库券收益率转贴现率
货币市场收益率 / 债券等价收益率 → 贴现率
根据国库券收益率(货币市场收益率或债券等价收益率)、结算日与到期日,换算对应的贴现率。
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「国库券收益率转贴现率」QuantLib 代码示例。
# 依赖版本:
# python==3.9
# QuantLib==1.43
import traceback
from datetime import datetime
import QuantLib as ql
from fastapi import Query
# ============================================================
# 工具函数
# ============================================================
def _parse_date(s: str) -> ql.Date:
d = datetime.strptime(s.strip(), "%Y-%m-%d")
return ql.Date(d.day, d.month, d.year)
# ============================================================
# 核心计算函数
# ============================================================
def qjquant_calu_tbillyield2disc(
yield_val: float = Query(...),
settle_date: str = Query(...),
maturity_date: str = Query(...),
type: int = Query(1), # 1=money market, 2=bond-equivalent
):
try:
# ---------- 参数校验 ----------
if yield_val < 0:
return {"ok": False, "msg": "收益率不能为负"}
if type not in (1, 2):
return {"ok": False, "msg": f"不支持的 Type: {type},仅支持 1/2"}
settle_qd = _parse_date(settle_date)
maturity_qd = _parse_date(maturity_date)
if settle_qd >= maturity_qd:
return {"ok": False, "msg": "结算日必须早于到期日"}
# ---------- 实际天数 ----------
days = ql.Actual360().dayCount(settle_qd, maturity_qd)
if days <= 0:
return {"ok": False, "msg": "到期天数异常"}
FACE = 100.0
# ---------- 由收益率求价格 ----------
if type == 1:
# 货币市场收益率,Actual/360
price = FACE / (1.0 + yield_val * days / 360.0)
else:
# 债券等价收益率,Actual/365
if days <= 182:
# 短期:Price = 100 / (1 + BEY × days/365)
price = FACE / (1.0 + yield_val * days / 365.0)
else:
# 长期 T-Bill BEY 价格公式(与 tbillyield 的反向一致)
x = days / 365.0
# Price = 100 / [(1 + BEY/2)(1 + BEY/2 × (2x - 1))]
price = FACE / ((1.0 + yield_val / 2.0) *
(1.0 + yield_val / 2.0 * (2.0 * x - 1.0)))
if price <= 0:
return {"ok": False, "msg": "收益率过高导致价格非正"}
# ---------- 由价格求贴现率(Actual/360) ----------
discount = (1.0 - price / FACE) * 360.0 / days
return {
"ok": True,
"discount": round(discount, 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}"}
# ============================================================
# 可复制运行的示例
# ============================================================
if __name__ == "__main__":
print("=" * 60)
print("国库券收益率转贴现率 tbillyield2disc 示例")
print("=" * 60)
# 示例 1:货币市场收益率(type=1),短期 180 天
r1 = qjquant_calu_tbillyield2disc(
yield_val=0.0497,
settle_date="2002-10-01",
maturity_date="2003-03-31",
type=1,
)
print("\n[示例1] type=1 货币市场收益率 5%(短期 180 天)")
print(" 结果:", r1)
# 示例 2:债券等价收益率(type=2),短期 180 天
r2 = qjquant_calu_tbillyield2disc(
yield_val=0.05,
settle_date="2024-01-02",
maturity_date="2024-07-01",
type=2,
)
print("\n[示例2] type=2 债券等价收益率 5%(短期 180 天)")
print(" 结果:", r2)
# 示例 3:债券等价收益率(type=2),长期 364 天
r3 = qjquant_calu_tbillyield2disc(
yield_val=0.05,
settle_date="2024-01-02",
maturity_date="2024-12-31",
type=2,
)
print("\n[示例3] type=2 债券等价收益率 5%(长期 364 天)")
print(" 结果:", r3)