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Asset Management. Lecture Four. Outline for today. What assets to invest in a bear market? The BEARX Case Index model The optimal risky portfolio in the Single-factor index model The information ratio. What funds to invest in a bear market?. What funds to invest in a bear market?.
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Asset Management Lecture Four
Outline for today • What assets to invest in a bear market? • The BEARX Case • Index model • The optimal risky portfolio in the Single-factor index model • The information ratio
What funds to invest in a bear market? • Bear-market funds: designed to take advantage of market downturns by making investments whose value goes up when stock prices decline. • selling stocks short -- picking companies whose stock prices are expected to fall • betting against the market by using derivatives such as stock index futures and options
What funds to invest in a bear market? What about 10 year return?
The BEARX Case • Only the Prudent Bear fund (BEARX) has a positive 10-year return return. • BEARX strategy: • short-sale picks • Whole Foods Market • Starbucks • General Motors • Buy into the precious-metals sector • Gold • Miners such as Newmont Mining and AngloGold Ashanti
The BEARX Case • If you retired with $1 million with a 75% equity allocation and a 5% withdrawal rate, the value of the retirement portfolio after 20 years would be: • $ -180,727 if you retired in 1966 • $ -69,349 if you retired in 1972 • $3,575,760 if you retired in 1982
The BEARX Case • Why gold? • Gold can serve as a “safe haven” • Against inflation
The BEARX Case • Why gold? • Gold can serve as a “safe haven” • Against inflation • Against financial crisis
The BEARX Case • Why gold? • Gold can serve as a “safe haven” against inflation or financial crisis. • Gold often trades inversely to the U.S. dollar, making it a useful hedge in times of dollar depreciation.
The BEARX Case • Threats to dollar stability:
The BEARX Case • Threats to dollar stability:
The BEARX Case • Why gold? • Gold can serve as a “safe haven” against inflation or financial crisis. • Gold often trades inversely to the U.S. dollar, making it a useful hedge in times of dollar depreciation. • Gold can be viewed as an alternative asset class.
The BEARX Case • Why gold? • Gold can serve as a “safe haven” against inflation or financial crisis. • Gold often trades inversely to the U.S. dollar, making it a useful hedge in times of dollar depreciation. • Gold can be viewed as an alternative asset class. • Gold, and even gold stocks, typically are not closely correlated to either the stock or bond market.
The BEARX Case • Comments on BEARX • “Too One-Sided, Even in This Market” • BEARX “offers a very reliable and predictable course of action, so it's up to the investor to decide WHEN to use his services and WHEN NOT.”
Optimal Risky Portfolio of the Single-Index Model Active portfolio Passive portfolio search for alpha efficient diversification N risky assets + the index portfolio
Optimal Risky Portfolio of the Single-Index Model Maximize the Sharpe ratio • Expected return, SD, and Sharpe ratio:
Optimal Risky Portfolio of the Single-Index Model • Weight of active portfolio position:
Optimal Risky Portfolio of the Single-Index Model • Modification of active portfolio position: • When
The Information Ratio Information Ratio The Sharpe ratio of an optimally constructed risky portfolio will exceed that of the index portfolio (the passive strategy):
The Information Ratio • The optimal weight for each security is
Table 8.2 Comparison of Portfolios from the Single-Index and Full-Covariance Models