1. functPortfolioInsurance

function [Wealth,Floor] = functPortfolioInsurance(wealth,multiplier,floor,strategy,returnsStocks,returnsBills,volaStocks)period = size(returnsStocks,1);
path   = size(returnsStocks,2);Wealth   = ones(period+1,path) * wealth;
Stocks   = ones(period+1,path);
Bills    = ones(period+1,path);
Cushion  = ones(period+1,path);
Exposure = ones(period+1,path);
Floor    = ones(period+1,path) * floor * wealth;

CPPI

Constant Proportion Portfolio Insurance
固定比例投资组合保险策略

switch strategycase 'CPPI'for t = 1:period% Adjust Asset allocationFloor(t,:)    = Floor(end,:)*exp(-returnsBills*(period -(t-1)));% discounted floorCushion(t,:)  = Wealth(t,:) - Floor(t,:);Exposure(t,:) = min(multiplier * (Cushion(t,:)),Wealth(t,:));Stocks(t,:)   = Exposure(t,:);Bills(t,:)    = Wealth(t,:) - Stocks(t,:);Wealth(t,:)   = Stocks(t,:) + Bills(t,:);%Apply Asset ReturnsStocks(t+1,:) = Stocks(t,:).* exp(returnsStocks(t,:));Bills(t+1,:)  = Bills(t,:).* exp(returnsBills);Wealth(t+1,:) = Stocks(t+1,:) + Bills(t+1,:);end

TIPP

Time Invariant Portfolio Protection
时间不变性投资组合保险策略

    case 'TIPP'for t = 1:periodCushion(t,:)  = Wealth(t,:) - Floor(t,:);Exposure(t,:) = min(multiplier * (Cushion(t,:)),Wealth(t,:));Stocks(t,:)   = Exposure(t,:);Bills(t,:)    = Wealth(t,:) - Stocks(t,:);Wealth(t,:)   = Stocks(t,:) + Bills(t,:);Stocks(t+1,:) =  Stocks(t,:) .*exp(returnsStocks(t,:)); Bills(t+1,:)  =  Bills(t,:) .*exp(returnsBills);Wealth(t+1,:) = Stocks(t+1,:) + Bills(t+1,:);Floor(t+1,:)  = max( Wealth(t+1,:).* floor,Floor(t,:));end

syntheticPut

复制性卖权策略

    case 'syntheticPut'StockPrice = ones(period+1,path) * wealth;wStock     = ones(period+1,path);X          =  floor * wealth;sigma = volaStocks;T = period;for t=1:periodFloor(t,:)    = Floor(end,:)*exp(-returnsBills*(period -(t-1)));% discounted floorCushion(t,:)  = Wealth(t,:) - Floor(t,:);Exposure(t,:) = min(Cushion(t,:),Wealth(t,:));d1(t,:)     = (log(StockPrice(t,:)./X)+(returnsBills+0.5*sigma^2).*(T-t))./(sigma.*sqrt(T-t));d2(t,:)     = d1(t,:) - sigma.*sqrt(T-t);wStock(t,:) = (StockPrice(t,:).* normcdf(d1(t,:)))./(StockPrice(t,:).* normcdf(d1(t,:)) + X.*exp(-returnsBills.*(T-t)).*(1-normcdf(d2(t,:))));wStock(t,:) = min(wStock(t,:),1);Stocks(t,:)   = wStock(t,:).* Wealth(t,:);Bills(t,:)    = Wealth(t,:) - Stocks(t,:);Wealth(t,:)   = Stocks(t,:) + Bills(t,:);Stocks(t+1,:) = Stocks(t,:) .*exp(returnsStocks(t,:)); Bills(t+1,:)  = Bills(t,:) .*exp(returnsBills);Wealth(t+1,:) = Stocks(t+1,:) + Bills(t+1,:);StockPrice(t+1,:) = StockPrice(t,:).* exp(returnsStocks(t,:));wStock(t+1,:)  =  Stocks(t+1,:)./Wealth(t+1,:);end otherwiseerror('provide a portfolio insurance strategy')
end

2. functWienerProcess

function [returns] = functWienerProcess(mu,sigma,periods,paths)returns = mu + sigma.*randn(periods,paths);end

3. scriptPortfolioInsurance

clear all;close all;clc
cd('D:\学习\MMF\Introduction to Computational Finance\project')rng(2021);%% 3a load data
[DAX,~,dataRaw] = xlsread('Data.xlsx','Tabelle1');
logReturns = log(DAX(1:end-1)./DAX(2:end));
mu = mean(logReturns);
sigma = std(logReturns);
periods = 60;
paths = 100000;
simureturns = functWienerProcess(mu,sigma,periods,paths);%% 3b
%input for 3 PF insuruance strategies
wealth = 100;
m = 5;
floor = 0.9;
returnsB = 0;
returnsS = simureturns;
volaStocks = sigma;[WealthC,FloorC] = functPortfolioInsurance(wealth,m,floor,'CPPI',returnsS,returnsB,volaStocks);
[WealthT,FloorT] = functPortfolioInsurance(wealth,m,floor,'TIPP',returnsS,returnsB,volaStocks);
[WealthP,FloorP] = functPortfolioInsurance(wealth,m,floor,'syntheticPut',returnsS,returnsB,volaStocks);% input for buy and hold
mB = 1;
floorB = 0;[WealthB,FloorB] = functPortfolioInsurance(wealth,mB,floorB,'CPPI',returnsS,returnsB,volaStocks);%% 3c Plot
%end Wealth of 3 strategies
endWealth = [WealthC(end,:);WealthT(end,:);WealthP(end,:)];plot(WealthB(end,:),endWealth,'o')
legend('CPPI','TIPP','syntheticPut')
xlabel('Stock investment')
ylabel('Portfolio insurance strategy')
title('Relative Wealth at Maturity')%% 3d
endWealth = [endWealth;WealthB(end,:)];
expectedW = mean(endWealth,2);
shortfall = endWealth<floor * wealth;
sp = sum(shortfall ,2)/paths;
se = mean(max(floor*wealth - endWealth,0),2);
xlswrite('Data.xlsx',[expectedW sp se],'Shortfall','B2:D5');

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投资组合风险管理策略 Matlab

文章目录

1. functPortfolioInsurance

CPPI

TIPP

syntheticPut

2. functWienerProcess

3. scriptPortfolioInsurance

投资组合风险管理策略 Matlab相关推荐

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