and Management, 10th Edition by Bradford Jordan and
Thomas Miller and Steve Dolvin
1
,Solution
SOLUTIONManual
MANUAL for
FORFundamentals of Investments Valuation
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and Management,
Fundamentals of Investments10th Edition
Valuation by Bradford
and Management, Jordan
10th Edition
bn Jordan and
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Thomas Miller and Steve Dolvin
Chapter 1-21 bn
Chapter 1 bn
A Brief History of Risk and Return
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Concept Questions bn
1. For both risk and return, increasing order is b, c, a, d. On average, the higher the risk of an
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investment, the higher is its expected return.
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2. Since the price didn’t change, the capital gains yield was zero. If the total return was four
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percent, then the dividend yield must be four percent.
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3. It is impossible to lose more than –100 percent of your investment. Therefore, return
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distributions are cut off on the lower tail at –100 percent; if returns were truly normally
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distributed, you could lose much more.
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4. To calculate an arithmetic return, you sum the returns and divide by the number of returns.
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As such, arithmetic returns do not account for the effects of compounding (and, in particular,
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the effect of volatility). Geometric returns do account for the effects of compounding and for
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changes in the base used for each year’s calculation of returns. As an investor, the more
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important return of an asset is the geometric return.
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5. Blume’s formula uses the arithmetic and geometric returns along with the number of
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observations to approximate a holding period return. When predicting a holding period return,
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the arithmetic return will tend to be too high and the geometric return will tend to be too low.
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Blume’s formula adjusts these returns for different holding period expected returns.
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6. T-bill rates were highest in the early eighties since inflation at the time was relatively high.
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As we discuss in our chapter on interest rates, rates on T-bills will almost always be slightly
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higher than the expected rate of inflation.
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7. Risk premiums are about the same regardless of whether we account for inflation. The reason
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is that risk premiums are the difference between two returns, so inflation essentially nets out.
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8. Returns, risk premiums, and volatility would all be lower than we estimated because aftertax
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returns are smaller than pretax returns.
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,Solution Manual for Fundamentals of Investments Valuation
and Management, 10th Edition by Bradford Jordan and
Thomas Miller and Steve Dolvin
9. We have seen that T-bills barely kept up with inflation before taxes. After taxes, investors in
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T-bills actually lost ground (assuming anything other than a very low tax rate). Thus, an all T-bill
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strategy will probably lose money in real dollars for a taxable investor.
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10. It is important not to lose sight of the fact that the results we have discussed cover over 80
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years, well beyond the investing lifetime for most of us. There have been extended periods
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during which small stocks have done terribly. Thus, one reason most investors will choose
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not to pursue a 100 percent stock (particularly small-cap stocks) strategy is that many investors
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have relatively short horizons, and high volatility investments may be very inappropriate in
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such cases. There are other reasons, but we will defer discussion of these to later chapters.
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11.
Solutions to Questions and Problems
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NOTE: All end of chapter problems were solved using a spreadsheet. Many problems require multiple
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steps. Due to space and readability constraints, when these intermediate steps are included in this
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solutions manual, rounding may appear to have occurred. However, the final answer for each
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problem is found without rounding during any step in the problem.
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Core Questions
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1. Total dollar return = 100($41 – $37 + $.28) = $428.00
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Whether you choose to sell the stock does not affect the gain or loss for the year; your stock
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is worth what it would bring if you sold it. Whether you choose to do so or not is irrelevant
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(ignoring commissions and taxes).
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2. Capital gains yield bn bn b n b n b n $41 – $37 bn bn b n b n / $37 bn b n b n .1081, or 10.81% Dividend yieldbn bn bn bn b n b n $.28/$37
b n .0076, or .76%
b n bn bn
Total rate of return bn bn bn b n b n 10.81% b n b n .76% b n b n 11.57%
3. Dollar return = 500($34 – $37 + $.28) = –$1,360
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Capital b n gains b n yield b n b n b n b n $34 b n – b n $37 b n b n /$37 b n b n b n –.0811, b n or b n –8.11%
Dividend yield $.28/$37 .0076, or .76% Total rate of return =
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– 8.11% + .76% = –7.35%
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4.
a. average bn return bn = bn 6.0%, average risk premium = 2.7%
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b. average bn return bn = bn 3.3%, average risk premium = 0%
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c. average bn return bn = bn 12.3%, average risk premium = 9.0%
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d. average bn return bn = bn 16.3%, average risk premium = 13.0%
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3
, Solution Manual for Fundamentals of Investments Valuation
and Management, 10th Edition by Bradford Jordan and
Thomas Miller and Steve Dolvin
5. Cherry average return bn bn 17% 11% – 2% 3% bn bn 14% b n b n /5 8.60% Straw average return bn bn bn bn
16% 18% – 6% 1% bn bn 22% b n b n /5 10.20%
6. Cherry: RA 8.60% bn
2 2 2 2 2
Var 1/ 4 .17 – .086 bn bn b n b n .11 – .086 bn bn b n b n –.02 – .086bn bn b n b n .03 – .086bn bn b n b n .14 – .086bn bn b n b n .00623
1/2
Standard deviation bn .00623 b n b n .0789, or 7.89% bn bn
Straw: RB 10.20% bn
Var 1/ 4 bn .16 – .102 bn bn
2 .18 – .102 bn bn b n b n
2 –.06 – .102 bn bn b n b n
2 .01 – .102bn bn b n b n
2 .22 – .102 bn bn b n b n
2
.01452 bn
1/2
Standard deviation bn .01452 b n b n .1205, or 12.05% bn bn
7. The capital gains yield is $59 – $65
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bn a dividend yield of 1.2 percent, the total return is –8.03%.
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8. Geometric return bn 1 .17 1 .11 1 .02 1 .03 1 .14 (1/5) b n
– 1 .0837,
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or 8.37%
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9. Arithmetic return bn .21 .12 .07 –.13 – .04 .26
bn bn bn b n b n / 6 .0817, or 8.17%
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(1/6)
Geometric return bn 1 .21 1 .12 1 .07 1 – .13
bn bn 1 – .04
bn bn 1 .26 – b n 1
b n
.0730, or 7.30% bn bn
Intermediate Questions bn
10. That’s plus or minus one standard deviation, so about two-thirds of the time, or two years out of
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three. In one year out of three, you will be outside this range, implying that you will be below it
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one year out of six and above it one year out of six.
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