1. Finance Challenge: Portfolio Optimization You are tasked with developing a program to optimize an investment portfolio. Write a function, PortfolioOptimizer, that takes as input arguments the expected returns and standard deviations of various assets, along with the correlation matrix between the assets. The function should output the optimal weights for each asset in the portfolio to minimize risk for a given target return. Test the function with sample data and ensure it returns the correct asset weights.
1. Finance Challenge: Portfolio Optimization You are tasked with developing a program to optimize an investment portfolio. Write a function, PortfolioOptimizer, that takes as input arguments the expected returns and standard deviations of various assets, along with the correlation matrix between the assets. The function should output the optimal weights for each asset in the portfolio to minimize risk for a given target return. Test the function with sample data and ensure it returns the correct asset weights.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![1. Finance Challenge: Portfolio Optimization
You are tasked with developing a program to optimize an investment portfolio. Write
a function, PortfolioOptimizer, that takes as input arguments the expected returns
and standard deviations of various assets, along with the correlation matrix
between the assets. The function should output the optimal weights for each asset
in the portfolio to minimize risk for a given target return. Test the function with
sample data and ensure it returns the correct asset weights.
2. Physics Challenge: Projectile Motion
Create a script that simulates the projectile motion of a particle launched at an
angle to the horizontal. Write a function, ProjectileMotion, that takes initial velocity,
launch angle, and gravitational acceleration as input and returns the trajectory of
the projectile. Use this function in a script to generate and plot trajectories for
different launch angles. Ensure the plots are labeled appropriately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9606a5e-05f9-4a9e-890d-65600c959df2%2Fe93ced15-9bad-4144-9051-867bcec64a80%2Fvptqw8n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Finance Challenge: Portfolio Optimization
You are tasked with developing a program to optimize an investment portfolio. Write
a function, PortfolioOptimizer, that takes as input arguments the expected returns
and standard deviations of various assets, along with the correlation matrix
between the assets. The function should output the optimal weights for each asset
in the portfolio to minimize risk for a given target return. Test the function with
sample data and ensure it returns the correct asset weights.
2. Physics Challenge: Projectile Motion
Create a script that simulates the projectile motion of a particle launched at an
angle to the horizontal. Write a function, ProjectileMotion, that takes initial velocity,
launch angle, and gravitational acceleration as input and returns the trajectory of
the projectile. Use this function in a script to generate and plot trajectories for
different launch angles. Ensure the plots are labeled appropriately.
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