eqDividendCurveBuilder
语法
eqDividendCurveBuilder(referenceDate, termDates, method,
[futPrices], [callPrices], [putPrices], [strikes], spot, discountCurve,
dayCountConvention='Actual365', [curveName])
详情
构建权益类期权分红曲线。
参数
referenceDate DATE 类型标量,表示曲线的生成日期。
termDates DATE 类型向量,表示曲线的期限日期,要求严格单调递增,且大于 referenceDate。
method STRING 类型标量,可选 “CallPutParity” 和 “FuturesPrice”:
-
method = “CallPutParity”,需要使用 callPrices、putPrices、strikes
-
method = “FuturesPrice”,需要使用 futPrices
futPrices 可选参数,DOUBLE 类型向量,正数,表示标的期货合约价格。
callPrices 可选参数,DOUBLE 类型矩阵,正数,表示看涨期权的价格矩阵。
putPrices 可选参数,DOUBLE 类型矩阵,正数,表示看跌期权的价格矩阵。
strikes 可选参数,DOUBLE 类型矩阵,表示执行价,要求严格单调递增。
注:
-
callPrices、putPrices、strikes 三者形状一致且列数与 termDates 等长。
-
futPrices 也与 termDates 等长。
spot DOUBLE 类型标量,正数,表示标的的即期价格。
discountCurve MKTDATA 类型标量,一个 IrYieldCurve 对象,表示折现曲线。
dayCountConvention STRING 类型标量,表示计息日数惯例。可选值为:
-
"Actual365"(默认):实际/365
-
"Actual360":实际/360
-
"Thirty360US":US (NASD) 30/360
-
"Thirty360EU":欧洲 30/360
-
"ActualActualISMA":实际/实际(ISMA 规则)
-
"ActualActualISDA":实际/实际(ISDA 规则)
curveName 可选参数,STRING 类型标量,表示曲线名称。
返回值
一个 DividendCurve 类型对象。
例子
CallPutParity
referenceDate = 2019.07.08
spot = 2.924
termDates = [2019.07.24, 2019.08.28, 2019.09.25, 2019.12.25]
callPrices = matrix(
[0.2806, 0.2326, 0.1861, 0.1424, 0.1016, 0.0698, 0.0457, 0.0281, 0.0098, 0.0038],
[0.2586, 0.2186, 0.1814, 0.1506, 0.1204, 0.0959, 0.0752, 0.0440, 0.0255, 0.0140],
[0.3202, 0.2801, 0.2417, 0.2068, 0.1754, 0.1474, 0.1234, 0.1030, 0.0697, 0.0465],
[0.3731, 0.3366, 0.3032, 0.2721, 0.2441, 0.2182, 0.1935, 0.1717, 0.1337, 0.1030]
)
putPrices = matrix(
[0.0023, 0.0044, 0.0072, 0.0131, 0.0239, 0.0409, 0.0660, 0.1000, 0.1803, 0.2760],
[0.0189, 0.0284, 0.0413, 0.0589, 0.0796, 0.1047, 0.1346, 0.2031, 0.2835, 0.3760],
[0.0240, 0.0340, 0.0456, 0.0604, 0.0785, 0.1004, 0.1234, 0.1545, 0.2202, 0.2964],
[0.0534, 0.0675, 0.0836, 0.1020, 0.1233, 0.1465, 0.1712, 0.1986, 0.2593, 0.3277]
)
strikes = matrix(
[2.65, 2.7, 2.75, 2.8, 2.85, 2.9, 2.95, 3, 3.1, 3.2],
[2.65, 2.7, 2.75, 2.8, 2.85, 2.9, 2.95, 3, 3.1, 3.2],
[2.65, 2.7, 2.75, 2.8, 2.85, 2.9, 2.95, 3, 3.1, 3.2],
[2.65, 2.7, 2.75, 2.8, 2.85, 2.9, 2.95, 3, 3.1, 3.2]
)
discountCurveDict = {
"mktDataType": "Curve",
"curveType": "IrYieldCurve",
"curveName": "CNY_FR_007",
"referenceDate": referenceDate,
"currency": "CNY",
"dayCountConvention": "Actual365",
"compounding": "Continuous",
"interpMethod": "Linear",
"extrapMethod": "Flat",
"dates": [
2019.07.10, 2019.07.16, 2019.10.09, 2020.01.09, 2020.04.09,
2020.07.09, 2021.07.09, 2022.07.11, 2023.07.10, 2024.07.09,
2026.07.09, 2029.07.09
],
"values":[
0.0145994, 0.0229076, 0.0253021, 0.0257565, 0.0259751,
0.0260355, 0.0265336, 0.0272721, 0.0282024, 0.0290231,
0.0304665, 0.0319855
]
}
discountCurve = parseMktData(discountCurveDict)
dividendCurve = eqDividendCurveBuilder(referenceDate, termDates, "CallPutParity", ,
callPrices, putPrices, strikes, spot, discountCurve, "Actual365", "50ETF")
print(dividendCurve)
FuturesPrice
referenceDate = 2019.07.08
spot = 3050
termDates = [2019.07.24, 2019.08.28, 2019.09.25, 2019.12.25]
futPrices = [3080, 3090, 3100, 3110]
discountCurveDict = {
"mktDataType": "Curve",
"curveType": "IrYieldCurve",
"curveName": "CNY_FR_007",
"referenceDate": referenceDate,
"currency": "CNY",
"dayCountConvention": "Actual365",
"compounding": "Continuous",
"interpMethod": "Linear",
"extrapMethod": "Flat",
"dates": [
2019.07.10, 2019.07.16, 2019.10.09, 2020.01.09, 2020.04.09,
2020.07.09, 2021.07.09, 2022.07.11, 2023.07.10, 2024.07.09,
2026.07.09, 2029.07.09
],
"values":[
0.0145994, 0.0229076, 0.0253021, 0.0257565, 0.0259751,
0.0260355, 0.0265336, 0.0272721, 0.0282024, 0.0290231,
0.0304665, 0.0319855
]
}
discountCurve = parseMktData(discountCurveDict)
dividendCurve = eqDividendCurveBuilder(referenceDate, termDates, "FuturesPrice", futPrices,
, , , spot, discountCurve, "Actual365", "HS300")
print(dividendCurve)
相关函数:parseMktData
