ch 5

Suppose you pay $9,800 for a $10,000 par Treasury bill maturing in two months. What is the annual percentage rate of return for this investment? A. 2.04% B. 12.00 % C. 12.24% D. 12.89%

C. 12.24%

What is the geometric average return for the period? A. 2.87% B. 0.74% C. 2.60% D. 2.21%

C. 2.60% [(1.10)(1 + -.0727)(1.0588)]1⁄3 - 1 = 2.60%

Suppose you pay $9,700 for a $10,000 par Treasury bill maturing in three months. What is the holding period return for this investment? A. 3.01% B. 3.09% C. 12.42% D. 16.71%

B. 3.09%

The arithmetic average of -11%, 15% and 20% is ________. A. 15.67% B. 8.00% C. 11.22% D. 6.45%

B. 8.00%

You have an EAR of 9%. The equivalent APR with continuous compounding is _____. A. 8.47% B. 8.62% C. 8.88% D. 9.42%

B. 8.62% LN[1 + .09] = 8.62%

A security with normally distributed returns has an annual expected return of 18% and standard deviation of 23%. The probability of getting a return between -28% and 64% in any one year is A. 68.26% B. 95.44% C. 99.74% D. 100.00%

B. 95.44%

Which one of the following would be considered a risk-free asset in real terms as opposed to nominal? A. Money market fund B. U.S. T-bill C. Short term corporate bonds D. U.S. T-bill whose return was indexed to inflation

D. U.S. T-bill whose return was indexed to inflation

If you are promised a nominal return of 12% on a one year investment, and you expect the rate of inflation to be 3%, what real rate do you expect to earn? A. 5.48% B. 8.74% C. 9.00% D. 12.00%

B. 8.74%

Treasury bills are paying a 4% rate of return. A risk averse investor with a risk aversion of A = 3 should invest in a risky portfolio with a standard deviation of 24% only if the risky portfolio's expected return is at least ______. A. 8.67% B. 9.84% C. 12.64% D. 14.68%

C. 12.64%

Suppose you pay $9,400 for a $10,000 par Treasury bill maturing in six months. What is the effective annual rate of return for this investment? A. 6.38% B. 12.77% C. 13.17% D. 14.25%

C. 13.17%

The price of a stock is $38 at the beginning of the year and $41 at the end of the year. If the stock paid a $2.50 dividend what is the holding period return for the year? A. 6.58% B. 8.86% C. 14.47% D. 18.66%

C. 14.47% HPR = (41 - 38 + 2.50)/38 = 0.1447

During the 1926 to 2008 period which one of the following asset classes provided the lowest real return? A. Small U.S. stocks B. Large U.S. stocks C. Long-Term U.S. Treasury Bonds D. Equity world portfolio in U.S. dollars

C. Long-Term U.S. Treasury Bonds

Annual percentage rates can be converted to effective annual rates by means of the following formula: A. (1 + (APR/n))n - 1 B. (APR)(n) C. (APR/n) D. (periodic rate)(n)

A. (1 + (APR/n))n - 1

To form a complete portfolio with an expected rate of return of 11%, you should invest __________ of your complete portfolio in treasury bills. A. 19% B. 25% C. 36% D. 50%

A. 19%

If you invested $1,000 at the beginning of 2005 your investment at the end of 2008 would be worth ___________. A. $2,176.60 B. $1,785.56 C. $1,645.53 D. $1,247.87

B. $1,785.56 $1(1.3523)(1.1867)(1 + -.0987)(1.2345) = $1.7856

If you decide to hold 25% of your complete portfolio in the risky portfolio and 75% in the treasury bills then the dollar values of your positions in X and Y respectively would be __________ and _________. A. $300, $450 B. $150, $100 C. $100, $150 D. $450, $300

B. $150, $100

The dollar values of your positions in X, Y, and treasury bills would be _________, __________ and __________ respectively if you decide to hold a complete portfolio that has an expected return of 8%. A. $162, $595, $243 B. $243, $162, $595 C. $595, $162, $243 D. $595, $243, $162

B. $243, $162, $595

The holding period return on a stock is equal to _________. A. the capital gain yield over the period plus the inflation rate B. the capital gain yield over the period plus the dividend yield C. the current yield plus the dividend yield D. the dividend yield plus the risk premium

B. the capital gain yield over the period plus the dividend yield

Historically small firm stocks have earned higher returns than large firm stocks. When viewed in the context of an efficient market, this suggests that ___________. A. small firms are better run than large firms B. government subsidies available to small firms produce effects that are discernible in stock market statistics C. small firms are riskier than large firms D. small firms are not being accurately represented in the data

C. small firms are riskier than large firms

8. The complete portfolio refers to the investment in _________. A. the risk-free asset B. the risky portfolio C. the risk-free asset and the risky portfolio combined D. the risky portfolio and the index

C. the risk-free asset and the risky portfolio combined

A loan for a new car costs the borrower 0.8% per month. What is the EAR? A. 0.80% B. 6.87% C. 9.60% D. 10.03%

D. 10.03%

1. You put up $50 at the beginning of the year for an investment. The value of the investment grows 4% and you earn a dividend of $3.50. Your HPR was ____. A. 4.00% B. 3.50% C. 7.00% D. 11.00%

D. 11.00%

The dollar weighted return is the _________. A. difference between cash inflows and cash outflows B. arithmetic average return C. geometric average return D. internal rate of return

D. internal rate of return

If nominal rate of return on investment is 6% and inflation is 2% over a holding period, what is the real rate of return on this investment? A. 3.92% B. 4.00% C. 4.12% D. 6.00%

A. 3.92%

Your investment has a 40% chance of earning a 15% rate of return, a 50% chance of earning a 10% rate of return and a 10% chance of losing 3%. What is the standard deviation of this investment? A. 5.14% B. 7.59% C. 9.29% D. 8.43%

A. 5.14%

30. During the 1926 to 2008 period the geometric mean return on Treasury bills was _________. A. 5.31% B. 5.56% C. 9.34% D. 11.43%

A. 5.31%

Your timing was good last year. You invested more in your portfolio right before prices went up and you sold right before prices went down. In calculating historical performance measures which one of the following will be the largest? A. Dollar weighted return B. Geometric average return C. Arithmetic average return D. Mean holding period return

A. Dollar weighted return

The market risk premium is defined as __________. A. the difference between the return on an index fund and the return on Treasury bills B. the difference between the return on a small firm mutual fund and the return on the Standard and Poor's 500 index C. the difference between the return on the risky asset with the lowest returns and the return on Treasury bills D. the difference between the return on the highest yielding asset and the lowest yielding asset

A. the difference between the return on an index fund and the return on Treasury bills

The reward/variability ratio is given by _________. A. the slope of the capital allocation line B. the second derivative of the capital allocation line C. the point at which the second derivative of the investor's indifference curve reaches zero D. portfolio excess return

A. the slope of the capital allocation line

The Manhawkin Fund has an expected return of 16% and a standard deviation of 20%. The risk free rate is 4%. What is the reward-to-volatility ratio for the Manhawkin Fund? A. 0.8 B. 0.6 C. 9.0 D. 1.0

B. 0.6

What is the dollar weighted return over the entire time period? A. 2.87% B. 0.74% C. 2.60% D. 2.21%

B. 0.74% 0 = -50(100) + IRR = 0.744%

An investment earns 10% the first year, 15% the second year and loses 12% the third year. Your total compound return over the three years was ______. A. 41.68% B. 11.32% C. 3.64% D. 13.00% (1.10)(1.15)(1 - .12) = 11.32%

B. 11.32%

You have calculated the historical dollar weighted return, annual geometric average return and annual arithmetic average return. You always reinvest your dividends and interest earned on the portfolio. Which method provides the best measure of the actual average historical performance of the investments you have chosen? A. Dollar weighted return B. Geometric average return C. Arithmetic average return D. Index return

B. Geometric average return

When calculating the variance of a portfolio's returns squaring the deviations from the mean results in ________. I. preventing the sum of the deviations from always equaling zero II. exaggerating the effects of large positive and negative deviations III. a number in units of percentage of returns A. I only B. I and II only C. I and III only D. I, II and III

B. I and II only

Which of the following are correct arguments supporting passive investment strategies? I. Active trading strategies may not guarantee higher returns but guarantee higher costs II. Passive investors can free ride on the activity of knowledge investors whose trades force prices to reflect currently available information III. Passive investors are guaranteed to earn higher rates of return than active investors over sufficiently long time horizons A. I only B. I and II only C. II and III only D. I, II and III

B. I and II only You have the following rates of return for a risky portfolio for several recent years. Assume that the stock pays no dividends

You invest all of your money in one year T-bills. Which of the following statements is/are correct? I. Your nominal return on the T-bills is riskless. II. Your real return on the T-bills is riskless. III. Your nominal Sharpe measure is zero. A. I only B. I and III only C. II only D. I, II and III

B. I and III only

During the 1926 to 2008 period the Sharpe ratio was greatest for which of the following asset classes? A. Small U.S. stocks B. Large U.S. stocks C. Long-Term U.S. Treasury Bonds D. Bond World portfolio return in U.S. dollars

B. Large U.S. stocks

The rate of return on _____ is known at the beginning of the holding period while the rate of return on ____ is not known until the end of the holding period. A. risky assets, Treasury bills B. Treasury bills, risky assets C. excess returns, risky assets D. index assets, bonds

B. Treasury bills, risky assets

The ______ measure of returns ignores compounding. A. geometric average B. arithmetic average C. IRR D. dollar weighted

B. arithmetic average

Published data on past returns earned by mutual funds are required to be ______. A. dollar weighted returns B. geometric returns C. excess returns D. index returns

B. geometric returns

From 1926 to 2008 the world stock portfolio offered _____ return and _____ volatility than the portfolio of large U.S. stocks. A. lower; higher B. lower; lower C. higher; lower D. higher; higher

B. lower; lower

The excess return is the _________. A. rate of return that can be earned with certainty B. rate of return in excess of the Treasury bill rate C. rate of return to risk aversion D. index return

B. rate of return in excess of the Treasury bill rate

Both investors and gamblers take on risk. The difference between an investor and a gambler is that an investor _______. A. is normally risk neutral B. requires a risk premium to take on the risk C. knows he or she will not lose money D. knows the outcomes at the beginning of the holding period

B. requires a risk premium to take on the risk

The price of a stock is $55 at the beginning of the year and $50 at the end of the year. If the stock paid a $3 dividend and inflation was 3%, what is the real holding period return for the year? A. -3.64% B. -6.36% C. -6.44% D. -11.74%

C. -6.44%

What is the geometric average return of the following quarterly returns: 3%, 5%, 4%, and 7%, respectively? A. 3.72% B. 4.23% C. 4.74% D. 4.90%

C. 4.74% Return = (1.03 x 1.04 x 1.05 x 1.07).25 - 1 = .0474

To form a complete portfolio with an expected rate of return of 8%, you should invest approximately __________ in the risky portfolio. This will mean you will also invest approximately __________ and __________ of your complete portfolio in security X and Y respectively. A. 0%, 60%, 40% B. 25%, 45%, 30% C. 40%, 24%, 16% D. 50%, 30%, 20%

C. 40%, 24%, 16%

The buyer of a new home is quoted a mortgage rate of 0.5% per month. What is the APR on the loan? A. 0.50% B. 5.0% C. 6.0% D. 6.5%

C. 6.0% APR = .5% x 12 = 6.0%

You have an APR of 7.5% with continuous compounding. The EAR is _____. A. 7.50% B. 7.65% C. 7.79 % D. 8.25%

C. 7.79 %

What is the geometric average return over one year if the quarterly returns are 8%, 9%, 5%, and 12%, respectively? A. 8.00% B. 8.33 % C. 8.47% D. 8.50 %

C. 8.47% Return = (1.05 x 1.08 x 1.09 x 1.12).25 - 1 = .0847

The geometric average of -12%, 20% and 25% is _________. A. 8.42% B. 11.00% C. 9.70% D. 18.88%

C. 9.70%

The CAL provided by combinations of one month T-bills and a broad index of common stocks is called the ______. A. SML B. CAPM C. CML D. Total Return Line

C. CML

According to historical data, over the long run which of the following assets has the best chance to provide the best after inflation, after tax rate of return? A. Long term Treasury bonds B. Corporate bonds C. Common stocks D. Preferred stocks

C. Common stocks

Which one of the following measure time weighted returns? I. Geometric average return II. Arithmetic average return III. Dollar weighted return A. I only B. II only C. I and II only D. I and III only

C. I and II only

Rank the following from highest average historical return to lowest average historical return from 1926-2008. I. Small stocks II. Long term bonds III. Large stocks IV. T-bills A. I, II, III, IV B. III, IV, II, I C. I, III, II, IV D. III, I, II, IV

C. I, III, II, IV

Rank the following from highest average historical standard deviation to lowest average historical standard deviation from 1926-2008. I. Small stocks II. Long term bonds III. Large stocks IV. T-bills A. I, II, III, IV B. III, IV, II, I C. I, III, II, IV D. III, I, II, IV

C. I, III, II, IV

You have calculated the historical dollar weighted return, annual geometric average return and annual arithmetic average return. If you desire to forecast performance for next year, the best forecast will be given by the ________. A. dollar weighted return B. geometric average return C. arithmetic average return D. index return

C. arithmetic average return

One method to forecast the risk premium is to use the _______. A. coefficient of variation of analysts' earnings forecasts B. variations in the risk free rate over time C. average historical excess returns for the asset under consideration D. average abnormal return on the index portfolio

C. average historical excess returns for the asset under consideration

If you want to measure the performance of your investment in a fund, including the timing of your purchases and redemptions you should calculate the __________. A. geometric average return B. arithmetic average return C. dollar weighted return D. index return

C. dollar weighted return

Historical returns have generally been __________ for stocks of small firms as/than for stocks of large firms. A. the same B. lower C. higher D. There is no evidence of a systematic relationship between returns on small firm stocks and returns on small firm stocks

C. higher

If you require a real growth in the purchasing power of your investment of 8%, and you expect the rate of inflation over the next year to be 3%, what is the lowest nominal return that you would be satisfied with? A. 3.00% B. 8.00% C. 11.00% D. 11.24%

D. 11.24%

During the 1926 to 2008 period the geometric mean return on small firm stocks was ______. A. 5.31% B. 5.56% C. 9.34% D. 11.43%

D. 11.43%

The annualized average return on this investment is A. 16.15% B. 16.87% C. 21.32% D. 15.60%

D. 15.60%

Your investment has a 20% chance of earning a 30% rate of return, a 50% chance of earning a 10% rate of return and a 30% chance of losing 6%. What is your expected return on this investment? A. 12.8% B. 11.0% C. 8.9% D. 9.2%

D. 9.2% (0.2)(30%) + (0.5)(10%) + (0.3)(-6%) = 9.2%

During the 1985 to 2008 period the Sharpe ratio was greatest for which of the following asset classes? A. Small U.S. stocks B. Large U.S. stocks C. Long-Term U.S. Treasury Bonds D. Equity world portfolio in U.S. dollars

D. Equity world portfolio in U.S. dollars