FNCE10002 Lecture Notes - Lecture 7: Modern Portfolio Theory, Standard Deviation, Risk Premium

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Principles of Finance
Lecture 7: Modern Portfolio Theory II
Portfolio Risk and Return: Leveraging
Portfolio leveraging refers to when an investor borrows funds at a risk-free rate of return and invests all
the funds into a risky security
Portfolio Risk and Return: Short Selling
Short selling refers to borrowing shares (typically via a broker), selling them now with a contractual
promise to buy them back later at (an expected) lower price.
-Short selling is like risky borrowing to leverage a portfolio. This kind of leveraging increases
portfolio risk.
Maximum benefit when correlation coefficient is at -1. No benefit when correlation coefficient is 1.
Borrowing and short selling a security A and investing proceeds in security B implies < 0% and > 100% such
that +
Portfolio Risk and Return: Many Securities
The expected return of an M security portfolio:
The standard deviation of an M security portfolio:
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Document Summary

Portfolio leveraging refers to when an investor borrows funds at a risk-free rate of return and invests all the funds into a risky security. Short selling refers to borrowing shares (typically via a broker), selling them now with a contractual promise to buy them back later at (an expected) lower price. Short selling is like risky borrowing to leverage a portfolio. Maximum benefit when correlation coefficient is at -1. Borrowing and short selling a security a and investing proceeds in security b implies < 0% and. The expected return of an m security portfolio: The standard deviation of an m security portfolio: As a portfolio becomes larger in size its total risk (standard deviation) falls, but at a declining rate. The efficient frontier ff" is an envelope of risk-return frontiers made up of individual portfolios of risky assets. Ff" plots risky portfolios which have the lowest risk, (sd), for a given expected return, e(r).

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