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International Portfolio Investment. Chapter 13. Why Invest Internationally?. What are the advantages?. THE BENEFITS OF INTERNATIONAL EQUITY INVESTING. I. Why invest internationally? A. Advantages 1. Offers more opportunities than a purely domestic portfolio
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International Portfolio Investment Chapter 13
Why Invest Internationally? • What are the advantages?
THE BENEFITS OF INTERNATIONAL EQUITY INVESTING • I. Why invest internationally? • A. Advantages • 1. Offers more opportunities than • a purely domestic portfolio • 2. Attractive investments overseas • 3. Diversification benefits positively • impact the efficient frontier • Caution: IT MAY BE MORE RISK THAN DOMESTIC INVESTMENTS
Modern Portfolio Theory • Harry Markowitz, Nobel Prize Winner • Central concept: • Invest using the risk (σ) and return E(r) trade off.
Basic Portfolio Theory: • What is the efficient frontier? • It represents the most efficient combinations (portfolios) of all possible risky assets.
The Efficient Frontier Impossible!! C E(r) A Why is Portfolio B inefficient? B
Basic Portfolio Theory:DIVERSIFICATION • What are diversification benefits: • The broader the diversification, • a. the more stable the returns and • b. the more diffuse the risk. • BASED ON THE INSURANCE PRINCIPLE!
Diversification and The Insurance Principle US US US US US US US US US S S S U U U U U U U U U Not diversified Diversified
INTERNATIONAL DIVERSIFICATION • B. Another Benefit from International Diversification • Risk-return tradeoff: • May be greater when investing internationally • WHY?
Basic Portfolio Theory: • 1. Total Risk of a Security’s Return may be segmented into two parts: • = Systematic Risk • such as inflation and unemployment • which can not be eliminated • + Non-systematic Risk • such as industry business cycles which can be eliminated by diversification
INTERNATIONAL DIVERSIFICATION • 2. Using International diversification to reduce systematic risk: • a. Guideline:Diversify across nations in different stages of the business cycle • b. Benefit: While there is systematic risk within a domestic portfolio, it may be nonsystematic and diversifiable in a global portfolio
INTERNATIONAL PORTFOLIOINVESTMENT • 3. Recent History • a. National stock markets have wide • differences in returns and risk. • b. Emerging markets often have higher risk and return than developed markets. • c. Cross-market correlations have • been relatively low.
Cross-Market Correlations • With a U.S. portfolio: • 1. High positive correlations: • 2. Low or Negative correlations:
INTERNATIONAL PORTFOLIOINVESTMENT • 4. Theoretical Conclusion • International diversification pushes out the efficient frontier.
The New Efficient Frontier C E(r) A B
CROSS-MARKET CORRELAITONS • 5. Cross-market correlations • a. Recent markets seem to be most correlated when volatility is greatest • b. Result: • Efficient frontier retreats
The Frontier During Global Crises C E(r) A B
Investing in Emerging Markets • C. Investing in Emerging Markets • a. Offers highest risk and returns • b. Low correlations with returns • elsewhere • Caution: • As impediments to capital market mobility fall, correlations are likely to increase in the future.
Barriers to International Diversification • D. Barriers to International Diversification • 1. Segmented markets • 2. Lack of liquidity • 3. Exchange rate controls • 4. Underdeveloped capital markets • 5. Exchange rate risk • 6. Lack of information • a. not readily accessible • b. data is not comparable
Other Methods to Diversify • F. Diversify by a • 1. Trade in American Depository • Receipts (ADRs) • 2. Trade in American shares • 3. Trade internationally diversified • mutual funds: • a. Global (all types) • b. International (no home country securities) • c. Single-country
INTERNATIONAL PORTFOLIOINVESTMENT • 4. Calculation of Expected Portfolio Return: • rp = a rUS + ( 1 - a) rrw • where • rp = portfolio expected return • rUS= expected U.S. market return • rrw = expected global return
Portfolio Return • Sample Problem • What is the expected return of a portfolio with 35% invested in Japan returning 10% and 65% in the U.S. returning 5%? • rp = a rUS + ( 1 - a) rrw • = .65(.05) + .35(.10) • = .0325 + .0350 • = 6.75%
INTERNATIONAL PORTFOLIOINVESTMENT • Calculation of Expected Portfolio Risk • where = the cross-market • correlation • US2 = U.S. returns variance • r w2 = World returns variance
Portfolio Risk • What is the risk of a portfolio with 35% invested in Japan with a standard deviation of 6% and a standard deviation of 8% in the U.S. and a correlation coefficient of .7? • = [(.65)2 (.08) 2 + (.35) 2(.06) 2 +2(.65)(.35)(.08)(.06)(.7)] 1/2 • = 6.8%
INTERNATIONAL PORTFOLIOINVESTMENT • IV. MEASURING TOTAL RETURNS • FROM FOREIGN PORTFOLIOS • A. To compute dollar return of a foreign security: • or
INTERNATIONAL PORTFOLIOINVESTMENT • Bond (calculating return) formula: • where R$ = dollar return • B(1) = foreign currency bond price at time 1 (present) • C = coupon income during period • g = currency depreciation or appreciation
INTERNATIONAL PORTFOLIOINVESTMENT • B. Stocks (Calculating return) • Formula: • where R$ = dollar return • P(1) = foreign currency stock price at time 1 • D = foreign currency annual • dividend
U.S. $ Stock Returns:Sample Problem • Suppose the beginning stock price if FF50 and the ending price is FF48. Dividend income was FF1. The franc depreciates from $.20 /FF to $.2105 /FF during the year against the dollar. What is the stock’s US$ return for the year?
U.S. $ Stock Returns:Sample Solution • During the year the price of British bonds went from £102 to £106, while paying a coupon of £9. At the same time, the exchange rate went from$1.76/ £ to $1.62/ £. What was the total dollar return, in percent, on British bonds for the year? • e0=$1.76/£ e1=$1.62/£ • In direct terms: • e0= £.5682/$ e1= £.6173/$