VIX恐慌指数的计算代码C++版本

恐慌指数的计算代码C++版本"/>

VIX恐慌指数的计算代码C++版本

详细说明请参照

python 实现请参照

// VIXIndex.cpp : 此文件包含 "main" 函数。程序执行将在此处开始并结束。
#include <iostream>
#include <fstream>
#include<vector>
#include <map>
#include <string>
#include<sstream>
#include <stdio.h>
#include<math.h>
using namespace std;
typedef struct  OptionDataType {
double strick;
double put_bid;
double put_ask;
double  call_bid;
double call_ask;
}OptionDataType;
typedef struct  DataType {
double strick; //行权价格
string type;  //买卖方向 call put
double mix;     //Pk(i)
double variance;//方差
}DataType;
#define None   -999999
double rates[2] = { 0.000305,0.000286 };
double minutesOfTotalYear = (60 * 24 * 365);
int Nt[2] = { 855 + 510 + 34560,   854 + 900 + 44640 };  //近月合约生育到期时间 （单位分钟）
double T1 = Nt[0] / minutesOfTotalYear;
double T2 = (Nt[1]) / minutesOfTotalYear;
double T[2] = { T1,T2 };  //NT/N365
long GetSpecialChaNum(const char *_str, char ch) {
long _retNum = 0;
while (*_str) {
if (*_str == ch) {
_retNum++;
}
_str++;
}
return _retNum;
}
void GetOptionData(std::vector<string> &filepathVec, std::map<int, std::vector<OptionDataType>> & optionDatas) {
for (int i = 0; i < 2; i++) {
ifstream fp(filepathVec[i]);
string line;
bool isJumbHead = true;
while (getline(fp, line)) {
if (isJumbHead) {
isJumbHead = false;
continue;
}
std::vector<double> rowData;
string  number;
istringstream readstr(line);
int delimiterNum = GetSpecialChaNum(line.c_str(), ',');
for (int j = 0; j < delimiterNum + 1; j++) {
getline(readstr, number, ',');
rowData.push_back(std::stod(number));
}
OptionDataType optiondatas;
optiondatas.strick = rowData[0];
optiondatas.put_bid = rowData[1];
optiondatas.put_ask = rowData[2];
optiondatas.call_bid = rowData[3];
optiondatas.call_ask = rowData[4];
optionDatas[i].push_back(optiondatas);
}
}
}
//获取近远期价格水平值
void GetNearAndFarFutureValue(std::map<int, std::vector<OptionDataType>> & optionDatasMap, std::vector<double> &resultVec)
{
for (int i = 0; i < 2; i++) {
double mindiff = None;
double diff = None;
double fstrike = None;//行权价格
double fcall = None;
double fput = None;
for (auto &col : optionDatasMap[i]) {
diff = std::abs(((col.put_ask + col.put_bid) / 2) - ((col.call_ask + col.call_bid) / 2));
if (mindiff == None || diff < mindiff) {
mindiff = diff;
fstrike = col.strick;
fcall = (col.put_ask + col.put_bid) / 2;
fput = (col.call_ask + col.call_bid) / 2;
}
}
double f = fstrike + exp(rates[0] * T[0]) *(fcall - fput);
resultVec.push_back(f);
}
}
void GetValueOfK0(std::vector<double> fValueVector, map<int, std::vector<DataType>> &selectOptVecs, map<int, std::vector<OptionDataType>> & optionDatas, std::vector<double> &resultVec) {
for (int k = 0; k < 2; k++)
{
int i = 0;
int k0i = 0;
for (auto &col : optionDatas[k]) {
if (col.strick < fValueVector[0]) { //找到接近F值得位置  确定好k0的值
resultVec[k] = col.strick;
k0i = i;
i += 1;
}
}
OptionDataType d = optionDatas[k][k0i];
DataType data;
data.strick = d.strick;
data.type = "put /call average"; //put /call average
data.mix = (((d.put_ask + d.put_bid) / 2) + ((d.call_ask + d.call_bid) / 2)) / 2;
std::vector<double> selectOptVec;
selectOptVecs[k].push_back(data);
i = k0i - 1;  //向上移动一个位置
bool b = true;
double previousbid = None;
while (b  && i >= 0) {
OptionDataType d = optionDatas[k][i];  //获取上一行的数据
if (d.call_bid > 0) {
DataType data;
data.strick = d.strick;
data.type = "put "; //put /call average
data.mix = (d.call_ask + d.call_bid) / 2;
selectOptVecs[k].insert(selectOptVecs[k].begin(), data); //按照顺序插入
}
else {
if (previousbid == 0) b = false;
}
previousbid = d.call_bid;
i -= 1;
}
//=============
i = k0i + 1;  //向下移动一个位置
b = true;
previousbid = None;
while (b  && i < optionDatas[k].size()) {
OptionDataType d = optionDatas[k][i];  //获取上一行的数据
if (d.put_bid > 0) {
DataType data;
data.strick = d.strick;
data.type = "call "; //put /call average
data.mix = (d.put_ask + d.put_bid) / 2;
selectOptVecs[k].push_back(data);
}
else {
if (previousbid == 0) b = false;
}
previousbid = d.put_bid;
i += 1;
}
}
}
//calculate volatility for both near-term and next-term and next-term
void GetVolatilityValue(map<int, std::vector<DataType>> &selectOptVecs)
{
for (int k = 0; k < 2; k++)
{
int i = 0;
for (auto &d : selectOptVecs[k]) {
double deltak = 0;
if (i == 0) {
deltak = selectOptVecs[k][1].strick - selectOptVecs[k][0].strick;
}
else if (i == selectOptVecs[k].size() - 1) {
deltak = selectOptVecs[k][i].strick - selectOptVecs[k][i - 1].strick;
}
else {
deltak = (selectOptVecs[k][i + 1].strick - selectOptVecs[k][i - 1].strick) / 2;
}
double contributionbystrike = (deltak / (d.strick * d.strick)) *exp(rates[0] * T[0]) * d.mix;
selectOptVecs[k][i].variance = contributionbystrike; //每个vector 元素都加一了
i += 1;
}
}
}
double GetVarianceValue(map<int, std::vector<DataType>> &selectOptVecs, const std::vector<double> &F, const std::vector<double> &K0)
{
if (selectOptVecs.size() != 2) {
return -1;
}
double aggregatedcontributionbystrike1 = 0, aggregatedcontributionbystrike2 = 0;
for (auto &d : selectOptVecs[0]) {
aggregatedcontributionbystrike1 += d.variance;
}
aggregatedcontributionbystrike1 = (2 / T[0])*aggregatedcontributionbystrike1;
for (auto &d : selectOptVecs[1]) {
aggregatedcontributionbystrike2 += d.variance;
}
aggregatedcontributionbystrike2 = (2 / T[0])*aggregatedcontributionbystrike2;
double sigmasquared1 = 0, sigmasquared2 = 0;
sigmasquared1 = aggregatedcontributionbystrike1 - (1 / T[0])*(F[0] / K0[0] - 1)*(F[0] / K0[0] - 1);
sigmasquared2 = aggregatedcontributionbystrike1 - (1 / T[1])*(F[1] / K0[1] - 1)*(F[1] / K0[1] - 1);
//Step 6: Calculate the 30 - day weighted average of sigmasquared[0] and sigmasquared[1](p9)
int N30 = 30 * 1440;
int N365 = 365 * 1440;
double VIX = 100 * sqrt((T[0] * sigmasquared1*(Nt[1] - N30) / (Nt[1] - Nt[0]) + T[1] * sigmasquared2*(N30 - Nt[0]) / (Nt[1] - Nt[0]))*N365 / N30);
return VIX;
}
int main()
{
printf("Nt1: %d  Nt2: %d \n", Nt[0], Nt[1]);
printf("T1: %f  T2: %f \n", T[0], T[1]);
std::map<int, std::vector<OptionDataType>>optonDatasMap;
std::vector<string> filePathVec{ "near.csv","next.csv" };
//Step 1 获取option近期 和后期数据
GetOptionData(filePathVec, optonDatasMap);
//Step2 获远期价格水平值 fVauleVec[0] fVauleVec[1]---->  F1  F2
std::vector<double> F;
GetNearAndFarFutureValue(optonDatasMap, F);
if (F.size() == 2) {
printf("F1: %f  F2: %f \n", F[0], F[1]);
}
//Step3 计算F这个数下面最近一档的行权价K0
map<int, std::vector<DataType>> selectOptVecs;
std::vector<double> K0;
K0.resize(2);
GetValueOfK0(F, selectOptVecs, optonDatasMap, K0);
//#Step 4: Calculate volatility for both near - term and next - term options
//求出了方差
GetVolatilityValue(selectOptVecs);
//Step5  求方差
double VIX = GetVarianceValue(selectOptVecs, F, K0);
std::cout << "VIX Value is :" << VIX << endl;
exit(0);
}