bondInstrumentCalculator
首发版本:3.00.4.1
语法
bondInstrumentCalculator(bond, settlement, price, priceType,
[calcRisk=false], [benchmark='Qeubee'], [isExercised], [taxRate=0],
[taxStartDate=2025.08.08])
详情
债券计算器,实现债券价格 (ytm / cleanPrice / dirtyPrice) 三者互算,同时计算久期、凸度等风险指标。
支持浮动利率债券。计算时将 lastFixing + spread 作为票面利率,并按照固定利率债券的规则进行价格、收益率和风险指标计算。
参数
settlement DATE 类型标量或向量,表示债券的结算日,即购买日期。
price 数值型标量或向量,具体含义取决于 priceType 的取值:
- 当 priceType 为 "YTM" 时,price 表示债券的到期收益率;
- 当 priceType 为 "CleanPrice" 时,price 表示债券的净价;
- 当 priceType 为 "DirtyPrice" 时,price 表示债券的全价。
- 当 priceType 为 "YTE" 时,price 表示债券的行权收益率。
priceType STRING 类型的标量或向量,用于指定债券价格类型,可选值为:
- "YTM":到期收益率
- "CleanPrice":净价
- "DirtyPrice":全价
- "YTE":行权收益率,仅在 bond 为 OptionBond 时可用。
calcRisk 可选参数,布尔值,默认为 false,只计算输出全价、净价、应计利息和收益率。若设置为 true,除上述4项外,还会计算并输出麦考利久期、修正久期、凸度、基点价值。
- "Qeubee"(默认值):表示终端算法。
- "CSI":表示中证算法。
- 如果不指定则会自动判断是否行权。
- 如果指定为 true,则按照行权来计算。
- 如果指定为 false 则按照不行权来计算。
taxRate DOUBLE 类型标量或向量,指定税率,用于对票息进行征税,本金不征税。默认值为 0,取值范围为 [0, 1)。该参数只适用于固定利率债券,其它品种债券若指定 taxRate >
0 会报错。
taxStartDate DATE 类型标量或向量,指定开始征税的日期。债券的起息日>=taxStartDate 时需要征税,之前发行的债券不需要。默认值为 2025.08.08。
返回值
一个字典,包含以下键值对:
| 键 | 值 | 是否必有 |
|---|---|---|
| dirtyPrice | 全价:包含应计利息的债券价格 | 是 |
| cleanPrice | 净价:不包含应计利息的债券价格 | 是 |
| accruedInterest | 应计利息 | 是 |
| ytm | 到期收益率 | 是 |
| macaulayDuration | 麦考利久期:投资者收回债券投资成本所需的平均时间 |
否,仅在
|
| modifiedDuration | 修正久期:用于衡量债券价格对收益率变化的敏感程度 | |
| convexity | 凸度:用于衡量债券价格对利率变化的“二阶敏感度” | |
| pvbp | 基点价值:用于衡量债券价值对收益率变动的敏感程度,表示收益率变动一个基点所引起的债券价值变化金额 | |
| afterTaxDirty | 税后全价 | 否,仅在 taxRate>0 时返回 |
| afterTaxClean | 税后净价 | |
| afterTaxYtm | 税后到期收益率 |
例子
例1. 计算固定利率债券的价格、到期收益率、应计利息和风险指标。
fixedRateBondDict = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "FixedRateBond",
"start": 2022.07.15,
"maturity": 2072.07.15,
"issuePrice": 100.0,
"coupon": 0.034,
"dayCountConvention": "ActualActualISMA",
"calendar": "CFET",
"frequency": "Semiannual"
}
fixedRateBond = parseInstrument(fixedRateBondDict);
bondInstrumentCalculator(fixedRateBond, settlement=2025.04.10, price=0.02, priceType="YTM", calcRisk=true);
/* Output:
dirtyPrice->143.4689
cleanPrice->142.6705
ytm->0.02
accruedInterest->0.7983
macaulayDuration->27.4761
modifiedDuration->27.2041
convexity->1025.4003
pvbp->0.3902
*/
bondInstrumentCalculator(fixedRateBond, settlement=2072.04.18, price=100.2143, priceType="CleanPrice", calcRisk=false);
/* Output:
dirtyPrice: 101.0923
cleanPrice: 100.2143
ytm: 0.0250
accruedInterest: 0.8780
*/
例2. 计算零息债券的价格、到期收益率、应计利息和风险指标。
zeroCouponBondDict = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "ZeroCouponBond",
"coupon": 0.0119,
"start": 2025.01.09,
"maturity": 2026.02.05,
"issuePrice": 100.0,
"dayCountConvention": "ActualActualISMA",
"calendar": "CFET"
}
zeroCouponBond = parseInstrument(zeroCouponBondDict);
bondInstrumentCalculator(zeroCouponBond, settlement=2025.04.10, price=0.025, priceType="YTM", calcRisk=true);
/* Output:
dirtyPrice->99.2322
cleanPrice->98.9355
ytm->0.025
accruedInterest->0.2966
macaulayDuration->0.8246
modifiedDuration->0.8079
convexity->1.3057
pvbp->0.0080
*/
例3. 计算贴现债券的价格、到期收益率、应计利息和风险指标。
discountBondDict = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "Discount",
"start": 2025.02.13,
"maturity": 2025.05.15,
"issuePrice": 99.663,
"dayCountConvention": "ActualActualISMA",
"calendar": "CFET"
}
discountBond = parseInstrument(discountBondDict);
bondInstrumentCalculator(discountBond, settlement=2025.04.10, price=0.02, priceType="YTM", calcRisk=true);
/* Output:
dirtyPrice->99.8085
cleanPrice->99.6012
ytm->0.02
accruedInterest->0.2073
macaulayDuration->0.0958
modifiedDuration->0.0957
convexity->0.0183
pvbp->0.0009
*/
例4. 同时计算多种债券的价格、到期收益率、应计利息和风险指标。
result = bondInstrumentCalculator([discountBond, zeroCouponBond, fixedRateBond], settlement=[2025.04.10, 2025.04.10, 2072.04.18], price=[0.02, 0.025, 100.2143], priceType=["YTM", "YTM", "CleanPrice"], calcRisk=true);
print result
/* Output:
dirtyPrice->[99.8086,99.2322,101.09234]
cleanPrice->[99.6012,98.9356,100.2143]
accruedInterest->[0.2074,0.2969,0.8780]
ytm->[0.02,0.025,0.025]
macaulayDuration->[0.0959,0.8247,0.2404]
modifiedDuration->[0.0957,0.808,0.2397]
convexity->[0.0183,1.3057,0.1142]
pvbp->[0.0009,0.008,0.0024]
*/
例5. 计算含权债券的价格、到期收益率、应计利息和风险指标。
optionBond = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "OptionBond",
"version": 0,
"instrumentId": "242659.SH",
"nominal": 100.0,
"start": 2025.03.26,
"maturity": 2030.03.26,
"coupon": 0.0207,
"frequency": "Annual",
"exerciseDates": [2028.03.26],
"hasCallOption": true,
"hasPutOption": true,
"hasCouponAdjust": true,
"dayCountConvention": "ActualActualISMA"
}
ins = parseInstrument(optionBond)
bondInstrumentCalculator(ins, settlement=2025.12.19, price=0.0195216, priceType="YTM", calcRisk=true, benchmark="CSI");
/* Output:
dirtyPrice: 101.9939
cleanPrice: 100.4683
accruedInterest: 1.5256
ytm: 0.0195
yte: 0.0185
macaulayDuration: 2.2056
modifiedDuration: 2.1654
convexity: 6.9085
pvbp: 0.0221
*/
例6. 计算浮动利率债券的全价、净价、到期收益率和应计利息。
// 构造浮动利率债券产品字典
floatingBond = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "FloatingRateBond",
"instrumentId": "240025.IB",
"start": 2022.07.15,
"maturity": 2032.07.15,
"frequency": "Semiannual",
"dayCountConvention": "Actual365",
"iborIndex": "LPR_1Y",
"spread": 0.004,
"lastFixing": 0.03
}
// 调用债券工具计算器
bondresult = bondInstrumentCalculator(
bond = parseInstrument(floatingBond),
settlement = 2025.04.10,
price = 0.025,
priceType = "YTM",
calcRisk = false
)
print(bondresult)
/* Output:
ytm->0.025
accruedInterest->0.7918
cleanPrice->105.9626
dirtyPrice->106.7544
*/
例7. 计算固定利率债券的税前和税后价格、到期收益率以及应计利息。
fixedRateBondDict = {
"productType": "Cash",
"assetType": "Bond",
"bondType": "FixedRateBond",
"start": 2026.04.25,
"maturity": 2027.04.25,
"issuePrice": 100.0,
"coupon": 0.0106,
"dayCountConvention": "ActualActualISMA",
"frequency": "Semiannual"
}
fixedRateBond = parseInstrument(fixedRateBondDict);
res = bondInstrumentCalculator(
fixedRateBond,
settlement=2026.06.25,
price=0.0102996,
priceType="YTM",
calcRisk=false,
taxRate=0.0634,
taxStartDate=2025.08.08
);
res
/*
dirtyPrice: 100.20122678523695
cleanPrice: 100.02456011857029
accruedInterest: 0.17666666666666667
afterTaxDirty: 100.26806073041192
afterTaxClean: 100.09139406374526
afterTaxYtm: 0.009492960236371169
ytm: 0.0102996
*/
相关函数:bondPricer
