Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 Berkshire Hathaway

image text in transcribed

image text in transcribed

Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 Berkshire Hathaway (ticker: BRK/A) S&P 500 Index (ticker: SPX) NASDAQ 100 Index (ticker: NDX) Russell 2000 Index (ticker: RUT) YEAR BRK/A SPX NDX RUT 2010 21.4 15.1 19.22 26.85 2011 -4.7 2.1 2.7 -4.18 2012 16.8 16 16.82 16.35 2013 32.7 32.4 34.99 38.82 2014 27 13.7 17.94 4.89 2015 -12.5 1.4 8.43 -4.41 2016 23.4 12 5.89 21.31 2017 21.9 21.8 31.52 14.65 2018 2.8 -4.4 -1.04 -11.01 2019 11 31.5 37.96 25.52 Assuming there is no risk-free asset available, suppose you desire to invest in a portfolio of these 4 risky assets such that you minimize the portfolio variance, subject to the constraint that the portfolio weights sum to 1. Note that short positions (negative weights) are permissible. Using mean-variance portfolio optimization, determine the 4 minimum variance portfolio weightings and the minimum portfolio variance. What is the portfolio variance? Please express your numerical answer in decimal (not percentage) form and round your answer to four decimal places. Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 Berkshire Hathaway (ticker: BRK/A) S&P 500 Index (ticker: SPX) NASDAQ 100 Index (ticker: NDX) Russell 2000 Index (ticker: RUT) YEAR BRK/A SPX NDX RUT 2010 21.4 15.1 19.22 26.85 2011 -4.7 2.1 2.7 -4.18 2012 16.8 16 16.82 16.35 2013 32.7 32.4 34.99 38.82 2014 27 13.7 17.94 4.89 2015 -12.5 1.4 8.43 -4.41 2016 23.4 12 5.89 21.31 2017 21.9 21.8 31.52 14.65 2018 2.8 -4.4 -1.04 -11.01 2019 11 31.5 37.96 25.52 Assuming there is no risk-free asset available, suppose you desire to invest in a portfolio of these 4 risky assets such that you minimize the portfolio variance, subject to the constraint that the portfolio weights sum to 1. Note that short positions (negative weights) are permissible. Using mean-variance portfolio optimization, determine the 4 minimum variance portfolio weightings and the minimum portfolio variance. What is the portfolio variance? Please express your numerical answer in decimal (not percentage) form and round your answer to four decimal places

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

A Practical Guide To Quantitative Finance Interviews

Authors: Xinfeng Zhou

1st Edition

1735028800, 978-1735028804

More Books

Students also viewed these Finance questions

Question

Discuss the various types of policies ?

Answered: 1 week ago

Question

Briefly explain the various types of leadership ?

Answered: 1 week ago

Question

Explain the need for and importance of co-ordination?

Answered: 1 week ago

Question

Explain the contribution of Peter F. Drucker to Management .

Answered: 1 week ago