https://github.com/tatevkaren/finance-projects
Case Studies in Finance: Stock Price Valuation using Black-Scholes using Brownian Motions, Investment Project comparing Stocks and Bonds, Determining Pension Fund's Premium. (Case Study Papers and Code)
https://github.com/tatevkaren/finance-projects
black-scholes brownian-motion lifeinsurance quantitative-analysis quantitative-finance stochastic-differential-equations stock-valuation
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Case Studies in Finance: Stock Price Valuation using Black-Scholes using Brownian Motions, Investment Project comparing Stocks and Bonds, Determining Pension Fund's Premium. (Case Study Papers and Code)
- Host: GitHub
- URL: https://github.com/tatevkaren/finance-projects
- Owner: TatevKaren
- Created: 2021-01-01T15:06:33.000Z (almost 5 years ago)
- Default Branch: main
- Last Pushed: 2021-02-26T08:45:11.000Z (over 4 years ago)
- Last Synced: 2025-04-10T03:39:13.625Z (7 months ago)
- Topics: black-scholes, brownian-motion, lifeinsurance, quantitative-analysis, quantitative-finance, stochastic-differential-equations, stock-valuation
- Language: MATLAB
- Homepage:
- Size: 1.82 MB
- Stars: 18
- Watchers: 1
- Forks: 2
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
# Finance Projects
# 1: Investment Project BNP Paribas
**PAPER:** Case_Study_Investment_Project_BNP_Paribas.pdf
**SNAPSHOTS:** InvestmentProjectBNPParibas_figure1.png, InvestmentProjectBNPParibas_figure2.png
**CODE:** Investment_BNP_Paribas.m, BNP_Paribas_CS.R
In this paper, we investigate whether it's worth it to make an investment in ”Atlantic Lock-In Synthetic Zero”, product can be bought for the price of £100. Whether this amount will be returned and whether it will accrue a return depends on the performance of two indices, namely the FTSE100 and the SP500. We will consider the pay-off in-depth in
Model formulation in terms of Stochastic Differential Equations (SDE)'s assuming the model of geometric Brownian Motion
## Snapshots for data visualization
# 2: Black-Scholes SDE Price Evaluation
File name: Quantitative_Finance_BlackScholes_SDE_Case_Study.pdf
The SDE investor follows:
Black-Scholes world with following setting:
Mean and the variance of the Brownian Motion:
Following topics are included in this analysis:
- Black-Scholes
- Stochastic Differential Dquation (SDE)
- Geometric Brownian Motion
- Itˆo’s lemma
- Monet Carlo Simulation
- Euler's Scheme, One-sided Bump-and-Reprice method
- Closed-form derrivatives, sensitivity
- Constant Relative Risk Aversion
# 3: Expected Premium Analysis for a Pension Fund
**Code:** LI_ExpectedNetPremiumPensionFund.m , LI_ExpectedNetPremiumPensionFund2.m, LI_ExpectedSurvivalRates.m, LI_Simulation_Ages.m
**Data:** qxt.mat
**Paper:** LI_ExpectedNetPremium_PensionFund.pdf
Population grows older this results in problems for pension funds. This use-case shows how one can randomly generate the ages of the pension fund customers and calculate the expected pension costs for the pension fund and the expected premium they need to charge to the customers in order to run no losses.
