Chap 10 Problem solving1. Chapter 10 Problem Solving chap 10 Problem solving2.
Chap 10
description
Transcript of Chap 10
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Chapter 10
Investment Returns and Aggregate Measures of
Stock Markets
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Measures of Stock Performance
Averages and Indices• Different means to calculate
an average–Price-weighted–Value-weighted–Equal-weighted–Geometric
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A Price-weighted Average
• Price of stock A $10
• Price of stock B $20
• Price-weighted average is ($10 + 20)/$2 = $15
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A Value-weighted Average
• Weights the prices by the number of shares outstanding
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A Value-weighted Average
• If number of shares outstanding of stocks A and B are–A 1,000,000–B 10,000,000
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Total Value of Each Stock
• A $10,000,000
• B $200,000,000
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Weighted Average Price
$210,000,000/(1,000,000 +10,000,000) = $19.09
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An Equal-weighted Average
• Equal dollar amount invested in each stock
• If prices are $10 and $20:– buy two shares of A for every share
of B;– $20 invested in each stock.
• Average price of a share: $40/3 = $13.33
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A Geometric Average
• Instead of dividing, take the 1/n root (the reciprocal of n)
• Average price of a share: (10)(20).5 = $14.14
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Averages and Indices
• Compare prices over time or use one year as a base
• In an index subsequent prices are expressed relative to the base year.
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Differences in Measures
• Different methods for calculating averages
• The selection of a base year
• Can produce different measures of stock performance
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Aggregate Measures of the Stock Market Include:
• Dow Jones industrial average• Standard & Poor's 500 stock
index• NYSE composite index• Value Line Stock average• Nasdaq composite index• Wilshire 5000 index
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Price Movements and Graphs
• How stock prices appear to have changed is affected by the presentation.
• Impact of absolute and relative scales
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Price Movements and Graphs
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Additional Aggregate Measures of the Stock
Market
• Russell 1000• Russell 2000• Russell 3000• S&P 400
MidCap
• S&P 600 SmallCap• S&P 1500• Nasdaq Index• Wilshire 5000
Index
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Aggregate Measures of the Stock Market
• Tend to move together
• Highly correlated
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Stock Prices
• May be deflated to determine investors' increase in purchasing power
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Percentage Change in Real Terms
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The Holding Period Return (HPR)
• The percentage earned on an investment during a period of time
• HPR = P1 + D - P0
P0
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The Holding Period Return
Major weakness :
• Does not consider the length of time
• One year and ten years are the same
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Rate of Return
• Rate that equates–the cost of an investment (cash outflow) with
–the cash inflows generated
• Gives the true annualized (compound) return
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Internal Rate of Return (r)
• Also called the dollar-weighted rate of return
• P0 = D1 + D2 +…+ Dn + Pn
(1+r) (1+r)2 (1+r)n (1+r)n
• Solve for r
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Issues with the Internal Rate of Return
• Assumes cash flows are reinvested at that internal rate of return
• Adjustments are necessary if more than one purchase or sale is made.
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Time-weighted Rate of Return
• An alternative to the internal rate of return
• Ignores the dollar amount invested
• Uses the return for each time period
• Computes the geometric average return
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Investment Returns
• Studies indicate stocks earn 9 to 12 percent annually.
• The Ibbotson results (the industry benchmark)–Large company stocks: 10.2%
–Small company stocks: 12.1%
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Ibbotson Results
• For different time horizons
Common StocksFive-year time horizon: Lowest return -2.4% (1970-1974) Higest return 28.6% (1995-1999)Ten-year time horizon: Lowest return 1.4% (1965-1974) Higest return 20.1% (1949-1958)
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Averaging Strategies
• Dollar cost averaging - the periodic purchase
• Averaging down - buying additional shares after prices fall