Portfolio Management. www.Safeecollege.com2 12. CAL Capital Allocation Line (when one asset is rf) rA = Optimal Risky Asset rf = Risk Free Asset Concept.

Slides:



Advertisements
Similar presentations
Efficient Diversification
Advertisements

Capital Allocation Between the Risky Asset and the Risk-Free Asset.
1 CHAPTER TWELVE ARBITRAGE PRICING THEORY. 2 FACTOR MODELS ARBITRAGE PRICING THEORY (APT) –is an equilibrium factor mode of security returns –Principle.
Fi8000 Valuation of Financial Assets Spring Semester 2010 Dr. Isabel Tkatch Assistant Professor of Finance.
MIP/MB-IPB/08 1 MANAJEMEN INVESTASI DAN PORTOFOLIO Lecture 3a: Portfolio Management.
6 Efficient Diversification Bodie, Kane, and Marcus
5.5Asset Allocation Across Risky and Risk Free Portfolios 5-1.
INVESTMENT PLANNING LECTURE 17: CAPM & OTHER MODELS MARCH 16, 2015 Vandana Srivastava.
The CAPM, the Sharpe Ratio and the Beta Week 6. CAPM and the Sharpe Ratio (1/2) Recall from our earlier analysis, recall that, given the assets in the.
THE CAPITAL ASSET PRICING MODEL (CAPM) There are two risky assets, Stock A and Stock B. Now suppose there exists a risk- free asset — an asset which gives.
Efficient Portfolios MGT 4850 Spring 2008 University of Lethbridge.
Chapter 6.
1 Fin 2802, Spring 10 - Tang Chapter 6: Asset Allocation Fina2802: Investments and Portfolio Analysis Spring, 2010 Dragon Tang Lecture 9 Capital Allocation.
McGraw-Hill/Irwin Copyright © 2001 by The McGraw-Hill Companies, Inc. All rights reserved. 7-1 Capital Allocation Between the Risky Asset and the Risk-Free.
Risk Aversion and Capital Allocation to Risky Assets
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  
INVESTMENTS | BODIE, KANE, MARCUS ©2011 The McGraw-Hill Companies CHAPTER 6 Risk Aversion and Capital Allocation to Risky Assets.
Efficient Portfolios MGT 4850 Spring 2009 University of Lethbridge.
Andrew Baum and David Hartzell, Global Property Investment, 2011 Asset pricing for real estate.
Fourth Edition 1 Chapter 7 Capital Asset Pricing.
This module identifies the general determinants of common share prices. It begins by describing the relationships between the current price of a security,
1 Chapter 7 Portfolio Theory and Other Asset Pricing Models.
1 Chapter 2: Risk & Return Topics Basic risk & return concepts Stand-alone risk Portfolio (market) risk Relationship between risk and return.
Risk Premiums and Risk Aversion
Intermediate Investments F3031 Summary to Date Investing is about measuring and understanding the risk/return relationship Risk –Measured through the use.
0 Portfolio Managment Albert Lee Chun Construction of Portfolios: Introduction to Modern Portfolio Theory Lecture 3 16 Sept 2008.
McGraw-Hill/Irwin Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 7 Capital Allocation Between The Risky And The Risk-Free.
Efficient Diversification CHAPTER 6. Diversification and Portfolio Risk Market risk –Systematic or Nondiversifiable Firm-specific risk –Diversifiable.
Capital Asset Pricing Model (CAPM) A model based on the proposition that any stock’s required rate of return is equal to the risk-free rate of return.
Efficient Diversification II Efficient Frontier with Risk-Free Asset Optimal Capital Allocation Line Single Factor Model.
Portfolio Management Asset Beta and Equity Beta i)Asset of a firm are financed by Equity or Debt. Firm B/s Equity Asset Debt.
RISK AND REAL ESTATE INVESTMENT LEARNING OBJECTIVES Calculate and interpret the basic measures of risk for individual assets and portfolios of assets.
Capital Market Theory. Outline  Overview of Capital Market Theory  Assumptions of Capital Market Theory  Development of Capital Market Theory  Risk-Return.
PORTFOLIO THEORY. Risk & Return Return over Holding Period Return over multiple periods Arithmetic Mean Geometric Mean Dollar Averaging or IRR Return.
FAMA-FRENCH MODEL Concept and Application
Chapter 6 Efficient Diversification 1. Risk and Return Risk and Return In previous chapters, we have calculated returns on various investments. In chapter.
FIN 614: Financial Management Larry Schrenk, Instructor.
1 CHAPTER 6 Risk, Return, and the Capital Asset Pricing Model (CAPM)
1 EXAMPLE: PORTFOLIO RISK & RETURN. 2 PORTFOLIO RISK.
MANY RISKY SECURITIES èWith many risky securities, principles of portfolio optimization are still the same as in Portfolio Problem #2 èSolution is also.
Portfolio Diversification Modern Portfolio Theory.
Efficient Diversification
Optimal Risky Portfolios
Optimal Risky Portfolios
Capital Market Theory: An Overview
Return and Risk The Capital Asset Pricing Model (CAPM)
Sharpe – Lintner’s model Capital Asset Pricing Model - CAPM
Risk Aversion and Capital Allocation to Risky Assets
Risk Aversion and Capital Allocation to Risky Assets
Risk and Return: Past and Prologue
Efficient Diversification
Portfolio Theory & Related Topics
6 Efficient Diversification Bodie, Kane and Marcus
CHAPTER 6 RISK The Concept of Variability E(R) = Sum of (oi x pi ),
Optimal Risky Portfolios
Questions-Risk, Return, and CAPM
McGraw-Hill/Irwin Copyright © 2014 by the McGraw-Hill Companies, Inc. All rights reserved.
Chapter 8 Risk and Required Return
Ch. 11: Risk and Return Expected Returns & Variances
Optimal Risky Portfolios
Risk Aversion and Capital Allocation to Risky Assets
Capital Allocation Between The Risky And The Risk-Free Asset
2. Building efficient portfolios
Financial Market Theory
Figure 6.1 Risk as Function of Number of Stocks in Portfolio
Project 4.
Optimal Risky Portfolios
Risk Aversion and Capital Allocation
Risk and Return: Past and Prologue
Presentation transcript:

Portfolio Management

12. CAL Capital Allocation Line (when one asset is rf) rA = Optimal Risky Asset rf = Risk Free Asset Concept Point for line: For defining a straight line we require two points. A straight line will have only one slope [which is nothing but its angle with x-axis] = y2 – y1 x2 – x1 A general Equation of a straight line Y = a + bx rp Return Y Risk X Y2= rA Y1= rf x1= 0x1= σA A CAL rA - rf slope Dependent Variable Independent Variable Constant

i.Slope of CAL : = Excess return over risk free return rA - rf Total risk of A σA ii.Equation of CAL: rp = rf + rA - rf σp σA Risky return for portfolio p Risky free return for portfolio p Price of risk Risk of Portfolio p Risk premium for portfolio p