Portfolio Theory & Related Topics

Slides:



Advertisements
Similar presentations
Optimal Risky Portfolios. Review Mix one risky asset with the risk-free asset 1. E(r c ) = wE(r p ) + (1 - w)r f  c = w  p c= complete or combined.
Advertisements

Risk, Return, and the Historical Record
1 Risk, Returns, and Risk Aversion Return and Risk Measures Real versus Nominal Rates EAR versus APR Holding Period Returns Excess Return and Risk Premium.
The Capital Asset Pricing Model. Review Review of portfolio diversification Capital Asset Pricing Model  Capital Market Line (CML)  Security Market.
LECTURE 7 : THE CAPM (Asset Pricing and Portfolio Theory)
Investment. An Investor’s Perspective An investor has two choices in investment. Risk free asset and risky asset For simplicity, the return on risk free.
Stodder, Efficient Frontier, July Portfolio Optimization – Finding the Efficient Frontier Theory, and a Practical Example.
Risk and Return: Past and Prologue CHAPTER 5. McGraw-Hill/Irwin © 2004 The McGraw-Hill Companies, Inc., All Rights Reserved. Holding Period Return.
Capital Asset Pricing Model Applied covariance: Project Part 1.
Risk and Return: Past and Prologue
Risk and Return Riccardo Colacito.
Covariance And portfolio variance Review question  Define the internal rate of return.
Asset Management Lecture Two. I will more or less follow the structure of the textbook “Investments” with a few exceptions. I will more or less follow.
Intermediate Investments F3031 Review of CAPM CAPM is a model that relates the required return of a security to its risk as measured by Beta –Benchmark.
1 Limits to Diversification Assume w i =1/N,  i 2 =  2 and  ij = C  p 2 =N(1/N) 2  2 + (1/N) 2 C(N 2 - N)  p 2 =(1/N)  2 + C - (1/N)C as N  
Unit V: Portfolio Performance Measurement
McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Risk and Return: Past and Prologue 5 Bodie, Kane, and Marcus.
Capital Asset Pricing Model CAPM Security Market Line CAPM and Market Efficiency Alpha (  ) vs. Beta (  )
McGraw-Hill/Irwin © 2004 The McGraw-Hill Companies, Inc., All Rights Reserved. Chapter 9 Capital Asset Pricing.
Risk and Return Holding Period Return Multi-period Return
McGraw-Hill/Irwin Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 10 Index Models.
McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Risk and Return: Past and Prologue 5 Bodie, Kane, and Marcus.
Learning About Return and Risk from the Historical Record
5.1 Rates of Return 5-1. Measuring Ex-Post (Past) Returns An example: Suppose you buy one share of a stock today for $45 and you hold it for one year.
Essentials of Investments © 2001 The McGraw-Hill Companies, Inc. All rights reserved. Fourth Edition Irwin / McGraw-Hill Bodie Kane Marcus 1 Chapter 8.
© 2012 Pearson Education, Inc. All rights reserved Speculating in the Foreign Exchange Market Lessons from history: the variability of currency.
Portfolio Theory and the Capital Asset Model Pricing
Risk and Return. Expected return How do you calculate this? – States of the economy table What does it mean?
Last Topics Study Markowitz Portfolio Theory Risk and Return Relationship Efficient Portfolio.
Return and Risk Returns – Nominal vs. Real Holding Period Return Multi-period Return Return Distribution Historical Record Risk and Return.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin 24-1 Portfolio Performance Evaluation.
McGraw-Hill/Irwin © 2007 The McGraw-Hill Companies, Inc., All Rights Reserved. Efficient Diversification CHAPTER 6.
Chapter 7 Capital Asset Pricing and Arbitrage Pricing Theory.
Ch 13. Return, Risk and Security Market Line (SML)
PORTFOLIO THEORY. Risk & Return Return over Holding Period Return over multiple periods Arithmetic Mean Geometric Mean Dollar Averaging or IRR Return.
McGraw-Hill/Irwin Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 5 History of Interest Rates and Risk Premiums.
Dr. Lokanandha Reddy Irala( 1 Portfolio Performance Evaluation RISK ADJUSTED BASED METHODS.
INVESTMENTS | BODIE, KANE, MARCUS Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin CHAPTER 5 Introduction to.
Investments, 8 th edition Bodie, Kane and Marcus Slides by Susan Hine McGraw-Hill/Irwin Copyright © 2009 by The McGraw-Hill Companies, Inc. All rights.
JUE WANG. PLAN FOR TODAY 1.What's CAPM ? 2.Empirical estimation 3.Importance of beta in finance 4.Authors of CAPM.
McGraw-Hill/Irwin © 2007 The McGraw-Hill Companies, Inc., All Rights Reserved. Risk and Return: Past and Prologue CHAPTER 5.
Efficient Diversification
How to calculate Portfolio Performance
Portfolio Theory & Related Topics
FIGURE 12.1 Walgreens and Microsoft Stock Prices,
Risk and Return: Past and Prologue
Portfolio Theory & Related Topics
6 Efficient Diversification Bodie, Kane and Marcus
Optimal Risky Portfolios
Return, Risk, and the SML RWJ-Chapter 13.
Portfolio Theory and the Capital Asset Pricing Model
Financial Market Theory
Risk and Return: Past and Prologue
Chapter 8 Risk and Required Return
Risk and Risk Aversion Chapter 6.
Learning About Return and Risk from the Historical Record
Arbitrage Pricing Theory and Multifactor Models of Risk and Return
Capital Asset Pricing Model
Introduction to Risk, Return, and the Historical Record
Chapter 2 RISK AND RETURN BASICS.
Financial Market Theory
Capital Asset Pricing and Arbitrage Pricing Theory
Figure 6.1 Risk as Function of Number of Stocks in Portfolio
5 Risk and Return: Past and Prologue Bodie, Kane and Marcus
Arbitrage Pricing Theory and Multifactor Models of Risk and Return
Learning About Return and Risk from the Historical Record
Optimal Risky Portfolios
Risk Aversion and Capital Allocation
Risk and Return Holding Period Return Return Distribution
Capital Asset Pricing Model
Presentation transcript:

Portfolio Theory & Related Topics

Some Basic Ideas Return Risk Risk Free Rate Utility Function

Vi Vf Time Return (for a given holding period) = (Vf – Vi) / Vi More generally V1 V2 V3 Vi Vi+1 Vn Return = Ri+1 = (Vi+1 - Vi)/ Vi

V1 V2 V3 Vi Vi+1 Vn Return = Ri+1 = (Vi+1 - Vi)/ Vi Expected Return = E(R) ~ St. Deviation can be estimated as =

V1 V2 V3 Vi Vi+1 Vn Vn – V1 = V1 ( 1 + g) (n-1) Geometric average (GEOMEAN)

Table 5.3 History of Rates of Returns of Asset Classes for Generations, 1926- 2005 What could be problematic about this table?

DEFINITION Excess Return = Actual Rate of Return - Risk Free Rate Risk premium is the expected value of the excess return What is it? Sharpe ratio (for a portfolio) = Risk Premium / St. Dev. Of Return

Table 5.4 History of Excess Returns of Asset Classes for Generations, 1926- 2005