private double getOptionDelta(double strike, double duration, double r, double dividend, double vol, double stockPrice) { double delta = 0; delta = ImpliedVolatilityExtension.ComputeOptionDelta(strike, duration, r, dividend, "认购", vol, stockPrice); return(delta); }
private double getEstimateOptionPrice(DateTime today, ConvertibleBondDailyInfo bondInfo, double volatility, double stockPrice) { double option = 0; int days = DateTimeExtension.DateUtils.GetSpanOfTradeDays(today, bondInfo.endDate); double strike = bondInfo.conversionPrice; double duration = (double)days / 252.0; option = ImpliedVolatilityExtension.ComputeOptionPrice(strike, duration, 0.04, 0, "认购", volatility, stockPrice); return(option); }
private double getOptionDelta(DateTime date, string BondCode, string stockCode) { double delta = 0.5; var bondInfo = getBondDailyInfo(date, BondCode); int days = DateTimeExtension.DateUtils.GetSpanOfTradeDays(date, bondInfo.conversionEndDate); double duration = (double)days / 252.0; var stockList = getPreviousStockCloseList(date, stockCode, days); var stockLastClose = stockList[stockList.Count() - 1]; double volatility = HistoricalVolatilityExtension.getHistoricalVolatilityByClosePrice(stockList); double strike = bondInfo.conversionPrice; delta = ImpliedVolatilityExtension.ComputeOptionDelta(strike, duration, 0.04, 0, "认购", volatility, stockLastClose); return(delta); }
//计算从开始日期到结束日期的对冲成本 private double deltaHedgePerDate(DateTime startDate, DateTime endDate, Dictionary <DateTime, double> vol) { double option = 0; var tradedays = dateRepo.GetStockTransactionDate(startDate, endDate); int deltaIndex = 220; //计算历史波动率参数 string hedgeCode = ""; double deltaNow = 0; double pnl = 0; double cash = 0; //按第一天的开盘价确定期初价格和行权价 var stock = stockDailyRepo.GetStockTransactionWithRedis(indexCode, startDate, endDate); double startPrice = stock[0].Open; double strike = startPrice; foreach (var date in tradedays) { //获取当日期货合约代码 var list = getSpecialFutureList(date); //获取当日收盘前标的价格 // var index = stockMinutelyRepo.GetStockTransactionWithRedis(indexCode, date, date); var index = allData[date][indexCode]; var indexPrice = index[deltaIndex].Close; double duration = (DateUtils.GetSpanOfTradeDays(date, endDate) + 1 / 12) / 252.0; //按标的计算收盘前delta值 double deltaTarget = ImpliedVolatilityExtension.ComputeOptionDelta(strike, duration, 0.04, 0, "认沽", vol[date], indexPrice); //对冲未开仓进行开仓 if (hedgeCode == "") { hedgeCode = list.Last().Value.code; double futurePrice = allData[date][hedgeCode][deltaIndex + 1].Close; cash += -futurePrice * deltaTarget; deltaNow = deltaTarget; } //如果对冲的合约快到期时,进行移仓操作,移仓到季月合约 if (list.ContainsKey(hedgeCode) && list[hedgeCode].expireDate.Date.AddDays(-7) <= date.Date) { double futurePriceFront = allData[date][hedgeCode][deltaIndex + 1].Close; hedgeCode = list.Last().Value.code; double futurePriceNext = allData[date][hedgeCode][deltaIndex + 1].Close; cash += futurePriceFront * deltaNow - futurePriceNext * deltaTarget; deltaNow = deltaTarget; } else if (list.ContainsKey(hedgeCode)) //对冲的合约未到期,继续对冲 { double futurePrice = allData[date][hedgeCode][deltaIndex + 1].Close; cash += -futurePrice * (deltaTarget - deltaNow); deltaNow = deltaTarget; } //错误情况 if (list.ContainsKey(hedgeCode) == false && hedgeCode != "") { throw new ArgumentOutOfRangeException("对冲选取错误!!"); } } //计算最后一天的PNL=cash+期货值的钱+付出去的期权收益 var lastDate = tradedays.Last(); double futureLastPrice = allData[lastDate][hedgeCode][239].Close; double indexLastPrice = stock.Last().Close; pnl = -(cash + deltaNow * futureLastPrice - Math.Max(startPrice - indexLastPrice, 0)); option = pnl / startPrice; return(option); }
private Dictionary <string, optionGreeks> getGreekInformation(DateTime date, StockTransaction underlyingData, Dictionary <string, StockOptionInformationWithModified> optionList, List <StockOptionTransaction> optionData) { double oneYearDays = 280; double underlyingClose = Math.Round(underlyingData.Close, 3); Dictionary <string, optionGreeks> greeks = new Dictionary <string, optionGreeks>(); Dictionary <DateTime, double> durationDic = new Dictionary <DateTime, double>(); Dictionary <DateTime, List <double> > strikeDic = new Dictionary <DateTime, List <double> >(); Dictionary <DateTime, double> basisList = new Dictionary <DateTime, double>(); //希腊值的处理 //预处理到期日和行权价 foreach (var option in optionData) { var info = optionList[option.Code]; var expiredate = info.expireDate; double strike = info.strike; double unit = info.unit; if (info.existsModified == true && date < info.dividendDate) { strike = info.strike; unit = info.unitBeforeModifed; } if (durationDic.ContainsKey(expiredate) == false) { double modifiedDays = getModifiedDuration(date, expiredate, durationModifiedCoff); oneYearDays = getModifiedDuration(expiredate.AddYears(-1), expiredate, durationModifiedCoff); double duration = modifiedDays / oneYearDays; durationDic.Add(expiredate, duration); } if (strikeDic.ContainsKey(expiredate) == false) { List <double> strikeList = new List <double>(); strikeList.Add(strike); strikeDic.Add(expiredate, strikeList); } else { if (strikeDic[expiredate].Contains(strike) == false) { strikeDic[expiredate].Add(strike); } } } //逐月逐行权价,计算基差,同时计算基本信息 foreach (var list in strikeDic) { DateTime expireDate = list.Key; double avgBasis = 0; Dictionary <double, double> basisByStrike = new Dictionary <double, double>(); foreach (var item in list.Value) { double strike = item; double callPrice = 0; double putPrice = 0; foreach (var option in optionData) { var info = optionList[option.Code]; //找出认购期权 if (info.type == "认购" && info.expireDate == expireDate) { if (info.existsModified == true && date < info.dividendDate) { if (info.strikeBeforeModified == strike) { callPrice = option.Close; } } if (info.existsModified == false && info.strike == strike) { callPrice = option.Close; } } //找出认沽期权 if (info.type == "认沽" && info.expireDate == expireDate) { if (info.existsModified == true && date < info.dividendDate) { if (info.strikeBeforeModified == strike) { putPrice = option.Close; } } if (info.existsModified == false && info.strike == strike) { putPrice = option.Close; } } } double durationOfInterest = getInterestDuartion(date, expireDate); double basis = callPrice - putPrice + strike * Math.Exp(-rate * durationOfInterest) - underlyingClose; basisByStrike.Add(strike, basis); } List <double> strikeOrdered = list.Value.OrderBy(x => Math.Abs(x - underlyingClose)).ToList(); for (int i = 0; i < 3; i++) { avgBasis += basisByStrike[strikeOrdered[i]]; } avgBasis = avgBasis / 3; basisList.Add(expireDate, avgBasis); } //逐合约计算波动率及希腊值 foreach (var option in optionData) { optionGreeks greek = new optionGreeks(); var info = optionList[option.Code]; double strike = info.strike; double optionPrice = option.Close; int unit = info.unit; if (info.existsModified == true && date < info.dividendDate) { strike = info.strike; unit = info.unitBeforeModifed; } greek.strike = strike; greek.name = info.name; greek.underlying = info.underlying; greek.underlyPrice = underlyingClose; greek.unit = unit; greek.today = date; greek.code = info.code; greek.expireDate = info.expireDate; greek.duration = getInterestDuartion(date, info.expireDate); greek.modifiedDuration = getModifiedDuration(date, info.expireDate, durationModifiedCoff) / getModifiedDuration(info.expireDate.AddYears(-1), info.expireDate, durationModifiedCoff); greek.Basis = basisList[info.expireDate]; greek.optionPrice = optionPrice; greek.type = info.type; double optionPriceWithBasis = greek.underlyPrice + greek.Basis; //计算波动率 greek.impliedVol = ImpliedVolatilityExtension.ComputeImpliedVolatility(greek.strike, greek.modifiedDuration, rate, 0, greek.type, greek.optionPrice, optionPriceWithBasis); greek.delta = ImpliedVolatilityExtension.ComputeOptionDelta(greek.strike, greek.modifiedDuration, rate, 0, greek.type, greek.impliedVol, optionPriceWithBasis); greek.cashDelta = greek.delta * greek.unit * greek.underlyPrice * 0.01; greek.vega = ImpliedVolatilityExtension.ComputeOptionVega(greek.strike, greek.modifiedDuration, rate, 0, greek.impliedVol, optionPriceWithBasis); greek.cashVega = greek.vega * greek.unit; greek.cashGamma = 0.5 * greek.gamma * Math.Pow((greek.unit * greek.underlyPrice * 0.01), 2); greek.cashBasis = greek.Basis * greek.delta * greek.unit; //讲信息写入希腊值列表 greeks.Add(info.code, greek); } return(greeks); }
public void computeImpv(DateTime startDate, DateTime endDate) { var start = startDate; //while (start < endDate) //{ // if (!ExistInSqlServer(start)) // { // CreateDBOrTableIfNecessary(start); // } // start = start.AddYears(1); //} //if (!ExistInSqlServer(endDate)) //{ // CreateDBOrTableIfNecessary(endDate); //} var tradedays = dateRepo.GetStockTransactionDate(startDate, endDate); //逐日进行计算 foreach (var date in tradedays) { if (!ExistInSqlServer(date)) { CreateDBOrTableIfNecessary(date); } double[,] myFuture = new double[4, 28802]; var tickdata = new Dictionary <string, List <StockOptionTickTransaction> >(); var etf = DataTimeStampExtension.ModifyStockTickData(stockRepo.GetStockTransaction("510050.SH", date, date.AddHours(17))); var list = infoRepo.GetStockOptionInfo(underlying, date, date).Where(x => x.unit == 10000); Dictionary <StockOptionProperty, string> optionCode = new Dictionary <StockOptionProperty, string>(); //给出所有的strike信息 List <double> strikeList = new List <double>(); foreach (var item in list) { if (strikeList.Contains(item.strike) == false) { strikeList.Add(item.strike); } } strikeList = strikeList.OrderBy(x => x).ToList(); //给出所有的duration信息 List <DateTime> expireDateList = new List <DateTime>(); foreach (var item in list) { if (expireDateList.Contains(item.expireDate) == false) { expireDateList.Add(item.expireDate); } } expireDateList = expireDateList.OrderBy(x => x).ToList(); foreach (var item in list) { var option0 = optionRepo.GetStockTransaction(item.code, date, date.AddHours(17)); if (option0.Count == 0) { continue; } var option = DataTimeStampExtension.ModifyOptionTickData(option0); StockOptionProperty property = new StockOptionProperty { strike = item.strike, call_or_put = item.type, expireDate = item.expireDate }; optionCode.Add(property, item.code); tickdata.Add(item.code, option); } //计算合约的合成远期价格 for (int k = 0; k < 3; k++) //k遍历了到期时间 { double[,] futures = new double[4, 28802]; //futures[选取的strike,时间下标] double[,] weights = new double[4, 28802]; for (int i = 0; i < 28802; i++) { var etfMid = getStockMidPrice(etf[i], volumeTarget * 100); if (etfMid == 0) { continue; } var expireDate = expireDateList[k]; var strikeListNow = strikeList.OrderBy(x => Math.Abs(x - etfMid * Math.Exp(rate * dateRepo.GetDuration(date, expireDate) / 252.0))).ToList(); for (int j = 0; j <= 3; j++) { StockOptionProperty call = new StockOptionProperty { strike = strikeListNow[j], call_or_put = "认购", expireDate = expireDate }; StockOptionProperty put = new StockOptionProperty { strike = strikeListNow[j], call_or_put = "认沽", expireDate = expireDate }; bool callExists = false, putExists = false; foreach (var key in optionCode.Keys) { if (key.call_or_put == call.call_or_put && key.strike == call.strike && key.expireDate == call.expireDate) { callExists = true; call = key; } if (key.call_or_put == put.call_or_put && key.strike == put.strike && key.expireDate == put.expireDate) { putExists = true; put = key; } } if (callExists && putExists) { var callTick = tickdata[optionCode[call]]; var putTick = tickdata[optionCode[put]]; var callMid = getOptionMidPrice(callTick[i], volumeTarget); var putMid = getOptionMidPrice(putTick[i], volumeTarget); if (callMid > 0 && putMid > 0) { var callSpread = getOptionSpread(callTick[i], volumeTarget); var putSpread = getOptionSpread(putTick[i], volumeTarget); futures[j, i] = (callMid - putMid) * Math.Exp(rate * dateRepo.GetDuration(date, expireDate) / 252.0) + strikeListNow[j]; weights[j, i] = 1 / ((Math.Pow(callSpread, 2) + Math.Pow(putSpread, 2)) / 2); } } } myFuture[k, i] = 0; double weightsAll = 0; for (int j = 0; j < 3; j++) { myFuture[k, i] += futures[j, i] * weights[j, i]; weightsAll += weights[j, i]; } if (weightsAll != 0) { myFuture[k, i] /= weightsAll; } } int firstNonZero = 0; for (int i = 0; i < 28802; i++) { if (myFuture[k, i] != 0) { firstNonZero = i; break; } } for (int i = firstNonZero + 1; i < 28802; i++) { if (myFuture[k, i] == 0) { myFuture[k, i] = myFuture[k, i - 1]; } } for (int i = firstNonZero + 1; i < 28802; i++) { myFuture[k, i] = emaCoeff * myFuture[k, i] + (1 - emaCoeff) * myFuture[k, i - 1]; } //计算隐含波动率 foreach (var item in list) { if (item.expireDate != expireDateList[k]) { continue; } DataTable dt = new DataTable(); dt.Columns.Add("code"); dt.Columns.Add("tdatetime", typeof(DateTime)); dt.Columns.Add("expiredate"); dt.Columns.Add("futurePrice"); dt.Columns.Add("futurePrice0"); dt.Columns.Add("duration"); dt.Columns.Add("maturitydate"); dt.Columns.Add("etfPrice"); dt.Columns.Add("strike"); dt.Columns.Add("call_or_put"); dt.Columns.Add("ask"); dt.Columns.Add("bid"); dt.Columns.Add("ask_impv"); dt.Columns.Add("bid_impv"); StockOptionProperty option = new StockOptionProperty { strike = item.strike, call_or_put = item.type, expireDate = item.expireDate }; foreach (var key in optionCode.Keys) { if (key.call_or_put == option.call_or_put && key.strike == option.strike && key.expireDate == option.expireDate) { option = key; } } if (optionCode.ContainsKey(option) == true) { for (int i = 0; i < 28802; i++) { if (myFuture[k, i] == 0) { continue; } var etfMid = getStockMidPrice(etf[i], volumeTarget * 100); if (etfMid == 0) { continue; } var strikeListNow = strikeList.OrderBy(x => Math.Abs(x - etfMid * Math.Exp(rate * dateRepo.GetDuration(date, item.expireDate) / 252.0))).ToList(); var optionTick = tickdata[optionCode[option]]; if (optionTick[i] == null) { continue; } double etfprice = etf[i].LastPrice; double ask = optionTick[i].Ask1; double bid = optionTick[i].Bid1; double duration = dateRepo.GetDuration(date, option.expireDate) / 252.0; double strike = item.strike; string callorput = item.type; double askvol = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(myFuture[k, i], ask, strike, duration, rate, callorput), 4); double bidvol = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(myFuture[k, i], bid, strike, duration, rate, callorput), 4); double future0 = 0; for (int m = 0; m <= 3; m++) { if (strikeListNow[m] == item.strike) { future0 = futures[m, i]; break; } } DataRow dr = dt.NewRow(); dr["code"] = item.code; dr["tdatetime"] = Convert.ToDateTime(date + timelist[i]);//etf[i].TransactionDateTime; dr["maturitydate"] = item.expireDate; dr["futurePrice"] = Math.Round(myFuture[k, i], 4); dr["futurePrice0"] = Math.Round(future0, 4); dr["strike"] = Math.Round(strike, 4); dr["expiredate"] = dateRepo.GetDuration(date, option.expireDate); dr["duration"] = Math.Round(duration, 5); dr["etfPrice"] = etfprice; dr["call_or_put"] = item.type; dr["ask"] = ask; dr["bid"] = bid; if (askvol > 0 && askvol < 3) { dr["ask_impv"] = askvol; } else { dr["ask_impv"] = null; } if (bidvol > 0 && bidvol < 3) { dr["bid_impv"] = bidvol; } else { dr["bid_impv"] = null; } if (optionTick[i].TransactionDateTime < date.Date + new TimeSpan(14, 57, 00)) { dt.Rows.Add(dr); } } } SaveResultToMssql(date, dt, item.strike, dateRepo.GetDuration(date, item.expireDate), item.type, item.code); } } } }
public void record(DateTime startDate, DateTime endDate) { var tradedays = dateRepo.GetStockTransactionDate(startDate, endDate); CreateDBOrTableIfNecessary(startDate); CreateDBOrTableIfNecessary(startDate.AddYears(1)); var start = startDate; while (start < endDate) { if (!ExistInSqlServer(start)) { CreateDBOrTableIfNecessary(start); } start = start.AddYears(1); } if (!ExistInSqlServer(endDate)) { CreateDBOrTableIfNecessary(endDate); } foreach (var date in tradedays) { DataTable dt = new DataTable(); dt = initializeDataTable(dt); double[] sigma1Ask = new double[28802]; double[] sigma1Bid = new double[28802]; double[] sigma2Ask = new double[28802]; double[] sigma2Bid = new double[28802]; double[] vixAsk = new double[28802]; double[] vixBid = new double[28802]; var list = infoRepo.GetStockOptionInfo(underlying, date, date); list = OptionUtilities.modifyOptionListByETFBonus(list, date); List <StockOptionInformation> callListThisMonth = new List <StockOptionInformation>(); List <StockOptionInformation> callListNextMonth = new List <StockOptionInformation>(); List <StockOptionInformation> putListThisMonth = new List <StockOptionInformation>(); List <StockOptionInformation> putListNextMonth = new List <StockOptionInformation>(); var durationList = OptionUtilities.getDurationStructure(list, date); double durationThisMonth = 0; double durationNextMonth = 0; if (durationList[0] > 7) { durationThisMonth = durationList[0]; durationNextMonth = durationList[1]; } else { durationThisMonth = durationList[1]; durationNextMonth = durationList[2]; } foreach (var item in list) { if (OptionUtilities.getDuration(item, date) == durationThisMonth && item.unit == 10000) { if (item.type == "认购") { callListThisMonth.Add(item); } else { putListThisMonth.Add(item); } } else if (OptionUtilities.getDuration(item, date) == durationNextMonth && item.unit == 10000) { if (item.type == "认购") { callListNextMonth.Add(item); } else { putListNextMonth.Add(item); } } } callListThisMonth = callListThisMonth.OrderBy(x => x.strike).ToList(); callListNextMonth = callListNextMonth.OrderBy(x => x.strike).ToList(); putListThisMonth = putListThisMonth.OrderBy(x => x.strike).ToList(); putListNextMonth = putListNextMonth.OrderBy(x => x.strike).ToList(); //获取当日ETF及期权数据 List <StockTickTransaction> etf = new List <StockTickTransaction>(); etf = DataTimeStampExtension.ModifyStockTickData(stockRepo.GetStockTransaction("510050.SH", date, date.AddHours(17))); Dictionary <double, List <StockOptionTickTransaction> > callDataThisMonth = new Dictionary <double, List <StockOptionTickTransaction> >(); Dictionary <double, List <StockOptionTickTransaction> > putDataThisMonth = new Dictionary <double, List <StockOptionTickTransaction> >(); Dictionary <double, List <StockOptionTickTransaction> > callDataNextMonth = new Dictionary <double, List <StockOptionTickTransaction> >(); Dictionary <double, List <StockOptionTickTransaction> > putDataNextMonth = new Dictionary <double, List <StockOptionTickTransaction> >(); List <double> strikeListThisMonth = new List <double>(); List <double> strikeListNextMonth = new List <double>(); foreach (var item in callListThisMonth) { strikeListThisMonth.Add(item.strike); var call = DataTimeStampExtension.ModifyOptionTickData(optionRepo.GetStockTransaction(item.code, date, date.AddHours(17))); callDataThisMonth.Add(item.strike, call); } foreach (var item in putListThisMonth) { var put = DataTimeStampExtension.ModifyOptionTickData(optionRepo.GetStockTransaction(item.code, date, date.AddHours(17))); putDataThisMonth.Add(item.strike, put); } foreach (var item in callListNextMonth) { strikeListNextMonth.Add(item.strike); var call = DataTimeStampExtension.ModifyOptionTickData(optionRepo.GetStockTransaction(item.code, date, date.AddHours(17))); callDataNextMonth.Add(item.strike, call); } foreach (var item in putListNextMonth) { //2016-2-17数据有缺失 var put = DataTimeStampExtension.ModifyOptionTickData(optionRepo.GetStockTransaction(item.code, date, date.AddHours(17))); putDataNextMonth.Add(item.strike, put); } strikeListThisMonth = strikeListThisMonth.OrderBy(x => x).ToList(); strikeListNextMonth = strikeListNextMonth.OrderBy(x => x).ToList(); for (int index = 0; index < 28802; index++) { bool hasData = true; foreach (var item in strikeListThisMonth) { if (callDataThisMonth[item] == null || putDataThisMonth[item] == null || callDataThisMonth[item][index] == null || putDataThisMonth[item][index] == null || (callDataThisMonth[item][index].AskV1 == 0 && callDataThisMonth[item][index].BidV1 == 0) || (putDataThisMonth[item][index].AskV1 == 0 && putDataThisMonth[item][index].BidV1 == 0)) { hasData = false; break; } } //if (durationThisMonth <= 30) { foreach (var item in strikeListNextMonth) { if (callDataNextMonth[item] == null || putDataNextMonth[item] == null || callDataNextMonth[item][index] == null || putDataNextMonth[item][index] == null || callDataNextMonth[item][index].AskV1 == 0 || putDataNextMonth[item][index].AskV1 == 0 || callDataNextMonth[item][index].BidV1 == 0 || putDataNextMonth[item][index].BidV1 == 0) { hasData = false; break; } } } if (hasData == false) { continue; } //初始化记录合约信息的列表 List <iVixInfo> thisMonthInfo = new List <iVixInfo>(); List <iVixInfo> nextMonthInfo = new List <iVixInfo>(); DataRow dr = dt.NewRow(); var now = callDataThisMonth[strikeListThisMonth[0]][index].TransactionDateTime; var expiredate1 = callListThisMonth[0].expireDate; var expiredate2 = callListNextMonth[0].expireDate; var span = date.AddHours(15) - now; //计算时间T NT:近月合约剩余到期时间(以分钟计) T:NT/365 double T1 = (durationThisMonth - 1 + (span.Hours * 60 + span.Minutes) / 840.0) / 365.0; //找到认购期权价格与认沽期权价格相差最小的执行价的K //计算远期价格F S+exp(RT)×[认购期权价格 S −认沽期权价格 S ] double distance1 = 100; double kThisMonth = 0; double F = 0; for (int i = 0; i < strikeListThisMonth.Count(); i++) { double distance0 = Math.Abs((callDataThisMonth[strikeListThisMonth[i]][index].Ask1 + callDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2 - (putDataThisMonth[strikeListThisMonth[i]][index].Ask1 + putDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2); if (distance0 < distance1) { distance1 = distance0; F = strikeListThisMonth[i] + Math.Exp(rate * T1) * ((callDataThisMonth[strikeListThisMonth[i]][index].Ask1 + callDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2 - (putDataThisMonth[strikeListThisMonth[i]][index].Ask1 + putDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2); } } //找到K0 for (int i = 0; i < strikeListThisMonth.Count() - 1; i++) { kThisMonth = strikeListThisMonth[i]; if (strikeListThisMonth[i + 1] > F) { break; } } //计算近月ivix for (int i = 0; i < strikeListThisMonth.Count(); i++) { iVixInfo info = new iVixInfo(); double ask = 0; double bid = 0; double dK = 0; double k = strikeListThisMonth[i]; if (i == strikeListThisMonth.Count() - 1) { dK = strikeListThisMonth[strikeListThisMonth.Count() - 1] - strikeListThisMonth[strikeListThisMonth.Count() - 2]; } else { dK = strikeListThisMonth[i + 1] - strikeListThisMonth[i]; } info.strike = k; info.duration = T1; info.coefficient = 2 / info.duration * dK / Math.Pow(info.strike, 2) * Math.Exp(rate * info.duration); if (strikeListThisMonth[i] < kThisMonth) { ask = putDataThisMonth[strikeListThisMonth[i]][index].Ask1; bid = putDataThisMonth[strikeListThisMonth[i]][index].Bid1; var mid = (ask + bid) / 2; info.sigma = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid, info.strike, info.duration, rate, "认沽"), 4); info.vega = ImpliedVolatilityExtension.ComputeOptionVega(info.strike, info.duration, rate, 0, info.sigma, F * Math.Exp(-rate * info.duration)) / 100.0; info.ask = ask; info.askv = putDataThisMonth[strikeListThisMonth[i]][index].AskV1; info.bid = bid; info.bidv = putDataThisMonth[strikeListThisMonth[i]][index].BidV1; info.minutelyVolume = ComputeMinutelyVolume(putDataThisMonth[strikeListThisMonth[i]], index); } else if (strikeListThisMonth[i] == kThisMonth) { ask = (putDataThisMonth[strikeListThisMonth[i]][index].Ask1 + callDataThisMonth[strikeListThisMonth[i]][index].Ask1) / 2; bid = (putDataThisMonth[strikeListThisMonth[i]][index].Bid1 + callDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2; var mid1 = (putDataThisMonth[strikeListThisMonth[i]][index].Ask1 + putDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2; var mid2 = (callDataThisMonth[strikeListThisMonth[i]][index].Ask1 + callDataThisMonth[strikeListThisMonth[i]][index].Bid1) / 2; var sigma1 = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid1, info.strike, info.duration, rate, "认沽"), 4); var sigma2 = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid2, info.strike, info.duration, rate, "认购"), 4); var vega1 = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, sigma1, F * Math.Exp(-rate * info.duration)) / 100.0; var vega2 = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, sigma2, F * Math.Exp(-rate * info.duration)) / 100.0; info.sigma = (sigma1 + sigma2) / 2; info.vega = (vega1 + vega2) / 2; info.ask = ask; info.askv = Math.Min(putDataThisMonth[strikeListThisMonth[i]][index].AskV1, callDataThisMonth[strikeListThisMonth[i]][index].AskV1) * 2; info.bid = bid; info.bidv = Math.Min(putDataThisMonth[strikeListThisMonth[i]][index].BidV1, callDataThisMonth[strikeListThisMonth[i]][index].BidV1) * 2; var volumeCall = ComputeMinutelyVolume(callDataThisMonth[strikeListThisMonth[i]], index); var volumePut = ComputeMinutelyVolume(putDataThisMonth[strikeListThisMonth[i]], index); info.minutelyVolume = Math.Min(volumeCall, volumePut) * 2; } else { ask = callDataThisMonth[strikeListThisMonth[i]][index].Ask1; bid = callDataThisMonth[strikeListThisMonth[i]][index].Bid1; var mid = (ask + bid) / 2; info.sigma = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid, info.strike, info.duration, rate, "认购"), 4); info.vega = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, info.sigma, F * Math.Exp(-rate * info.duration)) / 100.0; info.ask = ask; info.askv = callDataThisMonth[strikeListThisMonth[i]][index].AskV1; info.bid = bid; info.bidv = callDataThisMonth[strikeListThisMonth[i]][index].BidV1; info.minutelyVolume = ComputeMinutelyVolume(callDataThisMonth[strikeListThisMonth[i]], index); } sigma1Ask[index] += (2 / T1) * dK / (k * k) * Math.Exp(rate * T1) * ask; sigma1Bid[index] += (2 / T1) * dK / (k * k) * Math.Exp(rate * T1) * bid; thisMonthInfo.Add(info); } sigma1Ask[index] += -1 / T1 * Math.Pow((F / kThisMonth) - 1, 2); sigma1Bid[index] += -1 / T1 * Math.Pow((F / kThisMonth) - 1, 2); sigma1Ask[index] = Math.Sqrt(sigma1Ask[index]); sigma1Bid[index] = Math.Sqrt(sigma1Bid[index]); if (durationThisMonth > 30) { vixAsk[index] = sigma1Ask[index]; vixBid[index] = sigma1Bid[index]; } //计算时间T NT:近月合约剩余到期时间(以分钟计) T:NT/365 double T2 = (durationNextMonth - 1 + (span.Minutes) / 840) / 365.0; //找到认购期权价格与认沽期权价格相差最小的执行价的K //计算远期价格F S+exp(RT)×[认购期权价格 S −认沽期权价格 S ] distance1 = 100; double kNextMonth = 0; F = 0; for (int i = 0; i < strikeListNextMonth.Count(); i++) { double distance0 = Math.Abs((callDataNextMonth[strikeListNextMonth[i]][index].Ask1 + callDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2 - (putDataNextMonth[strikeListNextMonth[i]][index].Ask1 + putDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2); if (distance0 < distance1) { distance1 = distance0; F = strikeListNextMonth[i] + Math.Exp(rate * T2) * ((callDataNextMonth[strikeListNextMonth[i]][index].Ask1 + callDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2 - (putDataNextMonth[strikeListNextMonth[i]][index].Ask1 + putDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2); } } //找到K0 for (int i = 0; i < strikeListNextMonth.Count() - 1; i++) { kNextMonth = strikeListNextMonth[i]; if (strikeListNextMonth[i + 1] > F) { break; } } //计算远月ivix for (int i = 0; i < strikeListNextMonth.Count(); i++) { iVixInfo info = new iVixInfo(); double ask = 0; double bid = 0; double dK = 0; double k = strikeListNextMonth[i]; if (i == strikeListNextMonth.Count() - 1) { dK = strikeListNextMonth[strikeListNextMonth.Count() - 1] - strikeListNextMonth[strikeListNextMonth.Count() - 2]; } else { dK = strikeListNextMonth[i + 1] - strikeListNextMonth[i]; } info.strike = k; info.duration = T2; info.coefficient = 2 / info.duration * dK / Math.Pow(info.strike, 2) * Math.Exp(rate * info.duration); if (strikeListNextMonth[i] < kNextMonth) { ask = putDataNextMonth[strikeListNextMonth[i]][index].Ask1; bid = putDataNextMonth[strikeListNextMonth[i]][index].Bid1; var mid = (ask + bid) / 2; info.sigma = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid, info.strike, info.duration, rate, "认沽"), 4); info.vega = ImpliedVolatilityExtension.ComputeOptionVega(info.strike, info.duration, rate, 0, info.sigma, F * Math.Exp(-rate * info.duration)) / 100.0; info.ask = ask; info.askv = putDataNextMonth[strikeListNextMonth[i]][index].AskV1; info.bid = bid; info.bidv = putDataNextMonth[strikeListNextMonth[i]][index].BidV1; info.minutelyVolume = ComputeMinutelyVolume(putDataNextMonth[strikeListNextMonth[i]], index); } else if (strikeListNextMonth[i] == kNextMonth) { ask = (putDataNextMonth[strikeListNextMonth[i]][index].Ask1 + callDataNextMonth[strikeListNextMonth[i]][index].Ask1) / 2; bid = (putDataNextMonth[strikeListNextMonth[i]][index].Bid1 + callDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2; var mid1 = (putDataNextMonth[strikeListNextMonth[i]][index].Ask1 + putDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2; var mid2 = (callDataNextMonth[strikeListNextMonth[i]][index].Ask1 + callDataNextMonth[strikeListNextMonth[i]][index].Bid1) / 2; var sigma1 = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid1, info.strike, info.duration, rate, "认沽"), 4); var sigma2 = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid2, info.strike, info.duration, rate, "认购"), 4); var vega1 = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, sigma1, F * Math.Exp(-rate * info.duration)) / 100.0; var vega2 = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, sigma2, F * Math.Exp(-rate * info.duration)) / 100.0; info.sigma = (sigma1 + sigma2) / 2; info.vega = (vega1 + vega2) / 2; info.ask = ask; info.askv = Math.Min(putDataNextMonth[strikeListNextMonth[i]][index].AskV1, callDataNextMonth[strikeListNextMonth[i]][index].AskV1) * 2; info.bid = bid; info.bidv = Math.Min(putDataNextMonth[strikeListNextMonth[i]][index].BidV1, callDataNextMonth[strikeListNextMonth[i]][index].BidV1) * 2; var volumeCall = ComputeMinutelyVolume(callDataNextMonth[strikeListNextMonth[i]], index); var volumePut = ComputeMinutelyVolume(putDataNextMonth[strikeListNextMonth[i]], index); info.minutelyVolume = Math.Min(volumeCall, volumePut) * 2; } else { ask = callDataNextMonth[strikeListNextMonth[i]][index].Ask1; bid = callDataNextMonth[strikeListNextMonth[i]][index].Bid1; var mid = (ask + bid) / 2; info.sigma = Math.Round(ImpliedVolatilityExtension.sigmaByFuture(F, mid, info.strike, info.duration, rate, "认购"), 4); info.vega = ImpliedVolatilityExtension.ComputeOptionVega(k, info.duration, rate, 0, info.sigma, F * Math.Exp(-rate * info.duration)) / 100.0; info.ask = ask; info.askv = callDataNextMonth[strikeListNextMonth[i]][index].AskV1; info.bid = bid; info.bidv = callDataNextMonth[strikeListNextMonth[i]][index].BidV1; info.minutelyVolume = ComputeMinutelyVolume(callDataNextMonth[strikeListNextMonth[i]], index); } sigma2Ask[index] += (2 / T2) * dK / (k * k) * Math.Exp(rate * T2) * ask; sigma2Bid[index] += (2 / T2) * dK / (k * k) * Math.Exp(rate * T2) * bid; nextMonthInfo.Add(info); } sigma2Ask[index] += -1 / T2 * Math.Pow((F / kNextMonth) - 1, 2); sigma2Bid[index] += -1 / T2 * Math.Pow((F / kNextMonth) - 1, 2); sigma2Ask[index] = Math.Sqrt(sigma2Ask[index]); sigma2Bid[index] = Math.Sqrt(sigma2Bid[index]); if (durationThisMonth <= 30) { vixAsk[index] = Math.Sqrt((T1 * Math.Pow(sigma1Ask[index], 2) * (T2 - 30.0 / 365.0) / (T2 - T1) + T2 * Math.Pow(sigma2Ask[index], 2) * (30.0 / 365.0 - T1) / (T2 - T1)) * 365.0 / 30.0); vixBid[index] = Math.Sqrt((T1 * Math.Pow(sigma1Bid[index], 2) * (T2 - 30.0 / 365.0) / (T2 - T1) + T2 * Math.Pow(sigma2Bid[index], 2) * (30.0 / 365.0 - T1) / (T2 - T1)) * 365.0 / 30.0); foreach (var item in thisMonthInfo) { item.coefficient *= T1 * (T2 - 30.0 / 365.0) / (T2 - T1) * 365.0 / 30.0; } foreach (var item in nextMonthInfo) { item.coefficient *= T2 * (30.0 / 365.0 - T1) / (T2 - T1) * 365.0 / 30.0; } } //计算整体的vega,以及盘口的量 double vegaTotal = 0; double number = 0; double percentAskMax = 0; double percentAskMin = 1; double percentBidMax = 0; double percentBidMin = 1; double percentVolumeMax = 0; double percentVolumeMin = 1; if (durationThisMonth > 30) { foreach (var item in thisMonthInfo) { vegaTotal += item.vega * item.coefficient * 10000; } number = cashVega / vegaTotal; foreach (var item in thisMonthInfo) { double percentAsk = item.askv / number; double percentBid = item.bidv / number; double percentVolume = item.minutelyVolume / number; if (percentAsk > percentAskMax) { percentAskMax = percentAsk; } if (percentAsk < percentAskMin) { percentAskMin = percentAsk; } if (percentBid > percentBidMax) { percentBidMax = percentBid; } if (percentBid < percentBidMin) { percentBidMin = percentBid; } if (percentVolume > percentVolumeMax) { percentVolumeMax = percentVolume; } if (percentVolume < percentVolumeMin) { percentVolumeMin = percentVolume; } } } else { foreach (var item in thisMonthInfo) { vegaTotal += item.vega * item.coefficient * 10000; } foreach (var item in nextMonthInfo) { vegaTotal += item.vega * item.coefficient * 10000; } number = cashVega / 2 / vegaTotal; foreach (var item in thisMonthInfo) { double percentAsk = item.askv / number / item.coefficient; double percentBid = item.bidv / number / item.coefficient; double percentVolume = item.minutelyVolume / number; if (percentAsk > percentAskMax) { percentAskMax = percentAsk; } if (percentAsk < percentAskMin) { percentAskMin = percentAsk; } if (percentBid > percentBidMax) { percentBidMax = percentBid; } if (percentBid < percentBidMin) { percentBidMin = percentBid; } if (percentVolume > percentVolumeMax) { percentVolumeMax = percentVolume; } if (percentVolume < percentVolumeMin) { percentVolumeMin = percentVolume; } } foreach (var item in nextMonthInfo) { double percentAsk = item.askv / number / item.coefficient; double percentBid = item.bidv / number / item.coefficient; double percentVolume = item.minutelyVolume / number; if (percentAsk > percentAskMax) { percentAskMax = percentAsk; } if (percentAsk < percentAskMin) { percentAskMin = percentAsk; } if (percentBid > percentBidMax) { percentBidMax = percentBid; } if (percentBid < percentBidMin) { percentBidMin = percentBid; } if (percentVolume > percentVolumeMax) { percentVolumeMax = percentVolume; } if (percentVolume < percentVolumeMin) { percentVolumeMin = percentVolume; } } } dr["tdatetime"] = now; dr["expiredate1"] = expiredate1; dr["expiredate2"] = expiredate2; dr["duration1"] = Math.Round(T1, 6); dr["duration2"] = Math.Round(T2, 6); dr["sigma1Ask"] = Math.Round(sigma1Ask[index] * 100, 4); dr["sigma1Bid"] = Math.Round(sigma1Bid[index] * 100, 4); dr["sigma2Ask"] = Math.Round(sigma2Ask[index] * 100, 4); dr["sigma2Bid"] = Math.Round(sigma2Bid[index] * 100, 4); dr["sigmaAsk"] = Math.Round(vixAsk[index] * 100, 4); dr["sigmaBid"] = Math.Round(vixBid[index] * 100, 4); dr["vegaTotal"] = Math.Round(vegaTotal, 4); dr["number"] = Math.Round(number, 4); dr["percentAskMax"] = Math.Round(percentAskMax, 4); dr["percentAskMin"] = Math.Round(percentAskMin, 4); dr["percentBidMax"] = Math.Round(percentBidMax, 4); dr["percentBidMin"] = Math.Round(percentBidMin, 4); dr["percentVolumeMax"] = Math.Round(percentVolumeMax, 4); dr["percentVolumeMin"] = Math.Round(percentVolumeMin, 4); if (now < date.Date + new TimeSpan(14, 57, 00)) { dt.Rows.Add(dr); } } SaveResultToMssql(date, dt); } }