FP513 Module 6
Consider the following information regarding Stock A and Stock B. The market's standard deviation is 15. Stock A Stock B Correlation coefficient with market 0.20 0.80 Standard deviation 20 10 Which of the following statements are true and why? The beta of Stock A is lower than the beta of Stock B due to the impact of the correlation coefficients. The beta of Stock A is higher than the beta of Stock B because the standard deviation of Stock A is twice the standard deviation of Stock B. The ratio of Stock A's correlation coefficient to Stock B's correlation coefficient indicates that Stock B's beta is four times Stock A's beta. The correlation coefficient of Stock A suggests that the price movements of the market are likely to have little relationship with the price movements of Stock A. A) I and IV B) I, III, and IV C) II and IV D) I and III Explanation
According to the formula for beta, Stock A's beta is (20 ÷ 15) × 0.20 = 0.27 and Stock B's beta is (10 ÷ 15) × 0.80 = 0.53. Statement II is incorrect because it does not take into account the relative correlation coefficients. Statement III is incorrect because it does not take into account the relative standard deviations.
Taylor, a personal friend of yours, has been a practicing veterinarian for eight years. She is 35 years old and has a 3-year-old daughter. Taylor has a moderate risk tolerance, wants to save for retirement, and is considering increasing her investment in the following mutual fund. Taylor has asked you for your recommendation. Risk-free return 7.0% Return of market 12.5% Growth and Income FundNAV (beginning of year)$53.00NAV (end of year)$52.75Dividend$3.25Capital gains distributed$2.75Beta0.70Realized return10.85% Which of the following is CORRECT regarding the risk and return of the fund? A) The fund has less risk and less return than the market. B) The fund has equal risk and greater return than the market. C) The fund has less risk and greater return than the market. D) The fund has greater risk and less return than the market. Explanation
A beta of 1 represents the risk of the market. A beta of less than 1 represents risk less than the market's risk, and a beta of greater than 1 represents risk greater than that of the market. LO 6.2.1
Which of the following is the most appropriate and accurate indicator for determining a client's risk tolerance level? A) Beta B) Standard deviation C) Questionnaire D) There is no single appropriate method for determining risk tolerance. Explanation
A client's risk tolerance level is an intangible and subjective factor. No single method accurately determines that risk level. LO 6.2.5
You want to recommend two mutual funds to a new client and have narrowed your selections to the following three funds. The expected returns and standard deviations of each fund are approximately equal. The correlations between the funds are as shown in the following table. Correlation of Returns Large-cap Fund Mid-cap Fund Small-cap Fund Large-cap fund +1.00 Mid-cap fund +0.67 +1.00 Small-cap fund +0.41 +0.23 +1.00 Which two funds should you recommend, assuming that your goal is to recommend the two funds that will provide the lowest total portfolio risk and that the portfolio will be equally weighted in the two funds you select? A) The small-cap fund and the large-cap fund B) The mid-cap fund and the small-cap fund C) None, since no fund is negatively correlated with another fund D) The large-cap fund and the mid-cap fund Explanation
A negative correlation is not necessary; low positive correlations are adequate to lower the standard deviation of a portfolio. The fund combination that should be selected, given the objective and the fact that all other factors are equal, is the combination with the lowest correlation—the mid-cap fund and the small-cap fund. LO 6.2.4
Stock XYZ has an average return of 12%; its returns fall within a range of -2% to +26% approximately 68% of the time. Which one of these numbers is closest to the standard deviation of returns of Stock XYZ? A) 28% B) 8% C) 19% D) 14% Explanation
A standard deviation of 14% means an investor can expect a return on an investment to vary ±14 from the average return approximately 68% of the time.
You are considering buying a stock that has a mean return of 14% and a standard deviation of 20. You can expect the return to fall within what range 95% of the time? A) -0.06 to 0.34 B) Cannot be determined from the information given C) -0.26 to 0.54 D) -0.46 to 0.74 Explanation
A stock with a standard deviation of 20 will deviate from the mean by one standard deviation 68% of the time, two standard deviations 95% of the time, and three standard deviations 99% of the time. So for this stock, plus or minus 40 from the mean of 14% would be -26% and +54%. LO 6.2.2
Which of the following statements regarding investment theory is NOT correct? A) A correlation coefficient of 0.14 between the returns of Stock A and Stock B indicates that very little of Stock A's returns can be attributed to the returns of Stock B. B) Combining two stocks with a negative covariance can significantly reduce the portfolio's standard deviation. C) The beta coefficient may be used to help select a portfolio that is consistent with an investor's willingness to assume unsystematic risk. D) In a well-diversified portfolio, diversifiable risk is zero. Explanation
Beta is a measure of systematic risk, not unsystematic risk. The beta coefficient may be used to help select a portfolio that is consistent with an investor's willingness to assume systematic risk.
tock XYZ has an average return of 18% with a standard deviation of 21. Within what range could an investor expect a return to fall 68% of the time? A) -3% to 39% B) -3% to 18% C) 3% to 39% D) 0% to 21% Explanation
By definition, an investment's return will be within one standard deviation of the mean return 68% of the time. The mean return of 18% plus or minus one standard deviation is 18% - 21% (-3%) and 18% + 21% (39%). LO 6.2.2
You are about to recommend the purchase of an additional mutual fund to add to a client's portfolio, with the objective of reducing the portfolio's total risk. Upon analysis of several funds, you determine that the standard deviations of the current portfolio and each of the potential new funds are equal, but that the correlation coefficients of these funds with the current portfolio are as shown in the answer choices below. Which of the funds should you recommend? A) Fund A: correlation coefficient = +0.91 B) Fund D: correlation coefficient = -0.08 C) Fund B: correlation coefficient = +0.65 D) Fund C: correlation coefficient = 0.00
According to modern portfolio theory, total portfolio risk, as measured by standard deviation, is lowered by combining securities in a portfolio so that individual securities have negative (or low positive) correlations between each other's rates of return. LO 6.2.4
A stock fund had these yearly returns: 20X514%20X67%20X7-3%20X818%20X99% What is the standard deviation of the returns? A) 7.13 B) 7.97 C) 6.04 D) 8.43 Explanation
Calculation as follows for the HP10BII+: 14∑+∑+7∑+∑+3 +/-, ∑+∑+ 18∑+∑+9∑+∑+SHIFT, Sx,Sy Calculation as follows for the TI BA II+: Step 1: press "2nd" then "7". This activates the data screen. Step 2: press "2nd" then "CE/C" to clear all your existing work. Step 3: enter the first return "14" into the first "X01" screen and press enter. Step 4: hit the down arrow button "↓" and scroll past "Y01" and hit "↓" one more time until you get to "X02". Step 5: input the next return value which would be "7" and hit enter. Follow this process until you input all 5 values. Step 6: press "2nd" then "8" which is the "STAT" screen. Step 7: press "2nd" then "enter" which is the "SET" screen. Keep hitting the "2nd" and "enter" button until you see "1-V". Step 8: press "↓" to scroll through the calculated statistics. You will hit the "↓" button 3 times before you reach the standard deviation screen which will start with "Sx" and should equal "7.97".
Which of the following statements concerning a knowledge of the risk/return relationship is CORRECT? Future risk/return relationships are not guaranteed to match past risk/return relationships. Chances are that past relative relationships will not continue into the future. A reduction in risk also means a reduction in the possible return on the investment. The smaller the dispersion of returns, the greater the risk associated with a particular investment. A) I only B) I and III C) II and III D) II, III, and IV
Chances are that past relative relationships will continue into the future. The smaller the dispersion of returns, the lower the risk associated with a particular investment. LO 6.1.1
Based on the information provided, identify the stock that should be acquired if the investor's objective is to minimize the relative total risk per unit of expected return. Stock AStandard deviation12.49%Beta1.07Expected return4.65%Stock BStandard deviation23.51%Beta1.98Expected return10.40%Stock CStandard deviation14.43%Beta 1.40Expected return8.75%Stock DStandard deviation17.98%Beta1.56Expected return9.63% A) Stock B B) Stock C C) Stock D D) Stock A Explanation
Coefficient of variation (CV) is a relative measure of total risk (as measured by standard deviation) per unit of expected return. Use the coefficient of variation to solve for the best investment alternative: Stock A: 12.49 ÷ 4.65 = 2.6860 Stock B: 23.51 ÷ 10.40 = 2.2606 Stock C: 14.43 ÷ 8.75 = 1.6491 Stock D: 17.98 ÷ 9.63 = 1.8671 The stock with the lowest CV has the least amount of total risk per unit of expected return.
The Mountain Fund has a standard deviation of 22, a mean return of 15%, and a correlation coefficient with the S&P 400 Mid-Cap Index of 0.85. Mountain Fund is subject to how much systematic risk? A) 72% B) 90% C) 85% D) 22% Explanation
Explanation R-squared gives us the amount of systematic risk, and we have been given R (correlation coefficient). So, we square 0.85 to come up with an R-squared of 0.7225, or 72%.
What is the weighted average beta of a portfolio with 20% in Stock A with a beta of 0.9, 50% in Stock B with a beta of 1.2, and 30% in Stock C with a beta of 1.1? A) 1.14 B) 1.18 C) 1.11 D) 1.20
Explanation The answer is 1.11. You can complete this calculator long-hand in this way: (0.9 x .2) + (1.2 x .5) + (1.1 x .3) = (0.18) + (0.6) + (.33) = 1.11 You can also do this faster using the following keystrokes on the HP 10bII+ (see Financial Calculator Workbook for steps using TI BAII+): 0.9, INPUT, 20, ∑+, 1.2, INPUT, 50, ∑+, 1.1, INPUT, 30, ∑+, DOWNSHIFT, 6 (alternate function is weighted average) = 1.11. LO 6.2.1
Element Corp had these annual returns over the past four years: +12%, +6%, -8%, and +20%. What is the standard deviation for Element Corp. over the past four years? A) 7.5% B) 11.8% C) 12.4% D) 15% Explanation
Explanation The answer is 11.8%. HP 10bII+ Keystrokes: 12, ∑+ 6, ∑+ 8, +/-, ∑+ 20, ∑+ SHIFT, Sx,Sy (8 key) for standard deviation = 11.8% TI BA II+ Keystrokes: Step 1: press "2nd" then "7". This activates the data screen. Step 2: press "2nd" then "CE/C" to clear all your existing work. Step 3: enter the first return "12" into the first "X01" screen and press enter. Step 4: hit the down arrow button "↓" and scroll past "Y01" and hit "↓" one more time until you get to "X02." Step 5: input the next return value which would be "6" and hit enter. Follow this process until you input all four values. Step 6: press "2nd" then "8" which is the "STAT" screen. Step 7: press "2nd" then "enter" which is the "SET" screen. Keep hitting the "2nd" and "enter" button until you see "1-V." Step 8: press "↓" to scroll through the calculated statistics. You will hit the "↓" button three times before you reach the standard deviation screen which will start with "Sx" and should equal "11.8." LO 6.2.2
Which of these risks is diversifiable? A) Default risk B) Interest rate risk C) Purchasing power risk D) Market risk
Explanation The answer is default risk. Default risk is diversifiable (unsystematic) risk. The others are examples of systematic risk, or nondiversifiable risk.
Most fixed-income securities are subject to which of the following risks? Purchasing power risk Liquidity risk Default risk Reinvestment rate risk A) I, II, III, and IV B) I, III, and IV C) I and II D) II, III, and IV
Fixed-income securities are subject to a number of risks including purchasing power, liquidity, default, and reinvestment rate risk.
Gordon, age 40, wants to invest in a mutual fund that will provide capital appreciation. He wants a fund that will do as well as the overall market and has a low expense ratio, but he does not want to assume a high risk to achieve his objective. He is considering purchasing one of the following mutual funds: Fund A: a growth mutual fund that has a beta of 1.10 and invests in medium- to high-grade common stock Fund B: an index mutual fund that has a beta of 1.00 and invests in common stock that mirrors the S&P 500 Index Which of these funds would best meet Gordon's objective? A) Fund B, because it has a beta of 1.00, has low expenses, and is less risky B) Fund A, because it can be expected to outperform the market and has an acceptable level of risk C) Fund A, because it invests in lower-risk stocks than Fund B D) neither alternative is appropriate for his objective
Fund B can be expected to do as well as the overall market, will have a low expense ratio, and is less risk, as measured by beta, than Fund A. LO 6.2.1
An investor is interested in holding a diversified portfolio to reduce unsystematic risk. This can best be accomplished by buying stock in A) companies with low betas. B) companies with strong earnings and revenue growth. C) companies with low correlation coefficients between them. D) foreign companies. Explanation
Holding stocks that have a low correlation coefficient between them will result in a diversified portfolio that reduces and virtually eliminates the degree of unsystematic (business) risk in the portfolio. Buying stocks in international companies and stocks with low betas can help to reduce systematic risk, but only if they have low correlations with other stocks. Buying stocks in companies with strong revenue and earnings growth often results in acquiring significant company-specific risk that is attributable to the underlying business.
Mutual fund I has a standard deviation of 4% and an expected return of 10%. Mutual fund J has a standard deviation of 8% and an expected return of 13%. If I and J have a correlation coefficient of -1.0, which of the following statements is CORRECT? A) I and J are perfectly negatively correlated. B) J is less risky than I on a risk-adjusted basis. C) There is no combination of I and J such that the portfolio's standard deviation is zero. D) A portfolio combining funds I and J may have an expected return less than 10%. Explanation
J's coefficient of variation is 8% ÷ 13% = 0.615. I's coefficient of variation = 4% ÷ 10% = 0.40. I is less risky, on a risk-adjusted basis, than J. Because I and J are perfectly negatively correlated (correlation coefficient of -1.0), there exists a combination of I and J such that the standard deviation is zero. The expected return of a portfolio is the weighted average, which cannot be less than the lowest expected return of the portfolio components. LO 6.2.4
Identify the types of bonds that are subject to the most default risk. A) Junk bonds B) U.S. savings bonds C) AA rated general obligation bonds D) U.S. Treasury bonds
Junk bonds, sometimes referred to as high-yield bonds, are subjected to the most default risk. Obligations of the U.S. government are free from default risk. AA rated bonds are not free from default risk, but they are less likely to default than junk bonds.
The Finite Mutual Fund has a correlation coefficient of 0.90 with the S&P 500 Index. How much of the price movement of the Finite Mutual Fund is explained by the S&P 500 Index? A) 90% B) 81% C) 100% D) 75% Explanation
R-squared gives us the amount of systematic risk, and we have been given R (correlation coefficient). So, we square 0.90 to come up with an R-squared of 0.81, or 81%. LO 6.2.5
The Dow Jones Utility Average has recently dropped 30% from its high, and you decide to recommend a utility sector fund to your clients. If they invest in the fund, your clients will be exposed to which of these risks? Interest rate risk Business risk Default risk Financial risk A) I, II, III, and IV B) II, III, and IV C) II and IV D) I, II, and IV
Sector funds are subject to the unsystematic (diversifiable) risks of business risk and financial risk; utility sector funds are also subject to the nondiversifiable interest rate risk because of their high debt to total capital percentage. Stocks are not subject to default risk.
An analysis of the monthly returns for the past year of a mutual fund portfolio consisting of two funds revealed these statistics Fund AFund BTotal return12%15%Standard deviation9%26%Percentage of portfolio35%65%Correlation coefficient (R)0.32 What is the coefficient of determination (R2) of Fund A and Fund B? A) 0.90 B) 0.10 C) 0.15 D) 0.17
The answer is 0.10. The coefficient of determination is the square of the correlation coefficient (0.32)2 = 0.32 × 0.32 = 0.1024, or 10%. LO 6.2.5
What is the coefficient of variation for an investment with a standard deviation of 8.65%, an expected return of 11.5%, and a beta of 1.25? A) 1.3290 B) 0.9402 C) 0.7522 D) 0.1438
The answer is 0.7522. CV = standard deviation of asset ÷ expected return of asset, 8.65% ÷ 11.5% = 0.7522. LO 6.2
A client has a $1.2 million portfolio consisting of these four stocks: 1.$300,000ABC @1.1 beta2.$225,000RTR @0.7 beta3.$405,000XYZ @0.3 beta4.$270,000PDQ @1.3 beta What is the beta of the portfolio as a whole? A) 0.85 B) 1.0 C) 0.91 D) 0.8
The answer is 0.8. This is the weighted average of beta of components, which is calculated as follows: $300,000 ÷ 1,200,000 = 0.25 weighting × 1.1 beta =0.2750$225,000 ÷ 1,200,000 = 0.1875 weighting × 0.7 beta =0.1313$405,000 ÷ 1,200,000 = 0.3375 weighting × 0.3 beta =0.1013$270,000 ÷ 1,200,000 = 0.225 weighting × 1.3 beta =0.2925Weighted Average Beta:0.8001
Shari would like to know the weighted beta coefficient for her portfolio. She owns 100 shares of BDL common stock with a beta of 1.3 and total current market value of $8,000; 400 shares of XTP common stock with a beta of 0.9 and total current market value of $13,000; and 200 shares of SPR common stock with a beta of 0.6 and total current market value of $10,000. What is the overall weighted beta coefficient for Shari's portfolio? A) 1.26 B) 0.93 C) 0.99 D) 0.91 Explanation
The answer is 0.91. Calculations are shown below: Market ValueWeightingBetaWeighted Beta$8,000÷$31,000=0.258×1.3=0.3354$13,000÷$31,000=0.419×0.9=0.3771$10,000÷$31,000=0.323×0.6=0.1938$31,0000.9063
Assume your client's portfolio contains these: $20,000 of Stock A with a beta of 0.90 $50,000 of Stock B with a beta of 1.20 $30,000 of stock C with a beta of 1.10 What is the beta coefficient for this portfolio? A) 1.16 B) 1.05 C) 1.11 D) 1.00
The answer is 1.11. Calculated as follows: 0.20 × 0.90 = 0.18 0.50 × 1.20 = 0.60 0.30 × 1.10 = 0.33 0.18 + 0.60 + 0.33 = 1.11 Using the HP 10bII+: 0.9, INPUT, 20,000, Σ+ 1.2, INPUT, 50,000, Σ+ 1.1, INPUT, 30,000, Σ+ SHIFT, 6 key (x̅w,b) = 1.11 LO 6.2.1
Gary Stevens would like to know the weighted beta for his portfolio. He owns 100 shares of ACE common stock with a beta of 1.1 and total current market value of $5,000; 400 shares of BDF common stock with a beta of 0.70 and total current market value of $8,000; and 200 shares of GIK common stock with a beta of 1.5 and total current market value of $10,000. What is the overall weighted beta coefficient for Gary's portfolio? A) 1.05 B) 1.13 C) 1.22 D) 1.01
The answer is 1.13, calculated long-hand as follows: $5,000 + $8000 + $10,000 = $23,000 total value of the portfolio (1.1 x (5,000/23,000)) + (0.7 x (8,000/23,000)) + (1.5 x (10,000/23,000)) (1.1 x 0.217) + (0.7 x 0.347) + (1.5 x 0.4347) 0.2387 + 0.2429 + 0.6520 = 1.1336 = 1.13 Or, you can use these inputs for the HP10BII+: 1.1INPUT (ENTER)5Σ+0.7INPUT (ENTER)8Σ+1.5INPUT (ENTER)10Σ+SHIFT, xw,b = 1.13
A stock that you are researching has an expected return of 22%, a beta of 1.2, a correlation coefficient of 0.65 with the Russell 2000, an R2 of 0.38 with the S&P 500, and a standard deviation of 28%. Which one of these is the stock's coefficient of variation? A) 33.85 B) 0.38 C) 18.33 D) 1.27 Explanation
The answer is 1.27. CV = standard deviation of asset ÷ expected return of asset, 28% ÷ 22% = 1.27. LO 6.2.3
Assuming JHG and DSA stocks have standard deviations of 6.23% and 10.78%, respectively, and a correlation coefficient of 0.17, calculate the covariance between the two stocks. A) 11.42 B) 95.06 C) 26.76 D) 25.34
The answer is 11.42. The covariance between the two stocks is a positive 11.42 (6.23 × 10.78 × 0.17). Covariance measures the extent to which two variables move together, either positively (together) or negatively (opposite). LO 6.2.4
Your client, Jackson, is considering adding XYZ Mutual Fund to his portfolio. The fund has a correlation coefficient of 0.55 with the S&P 500, and he wants to know how much systematic risk the fund has when compared to this benchmark. You would advise him that the percentage of systematic risk is A) 55% B) 70% C) 30% D) 45%
The answer is 30%. You have been provided with the correlation coefficient (R) and what you need is the coefficient of determination (R2). Keystrokes are 0.55, DOWNSHIFT, "+" key = 0.3025. This means that 30% of the price movement of the fund is explained by the S&P 500, and the other 70% is not. Stated another way, there is 30% systematic risk, and 70% unsystematic risk. LO 6.2.5
Security A has a standard deviation of 12% and the market has a standard deviation of 16%. The correlation coefficient between Security A and the market is 0.75. What percent of the change in Security A's price can be explained by changes in the market? A) 75% B) 56% C) 44% D) 12%
The answer is 56%. Because the correlation coefficient is 0.75, the coefficient of determination (R2) is 0.5625, or 56%. Therefore, only 56% of investment returns can be explained by changes in the market (i.e., systematic risk represents 56%).
An analysis of the monthly returns for the past year of a mutual fund portfolio consisting of two funds revealed these statistics: Fund AFund BTotal return18%11%Standard deviation23%16%Percentage of portfolio35%65%Correlation coefficient (R)0.25 What is the coefficient of determination (R2) of Fund A and Fund B? A) 6.25% B) 84.64% C) 21.49% D) 50.00% Explanation
The answer is 6.25%. The coefficient of determination is the square of the correlation coefficient (0.25)2 = 0.25 × 0.25 = 0.0625, or 6.25%.
The Gemini Fund has a correlation coefficient of 0.80 with the S&P 500 Index. How much of the price movement of the Gemini Fund can be explained by the S&P 500 Index? A) 75% B) 80% C) 64% D) 100%
The answer is 64%. The correlation coefficient (R) has been given, so it needs to be squared (R2) in order to come up with the coefficient of determination (0.802 = 0.64).
Bobby owns ABC stock that has mean return of 10.65%, a beta of 1.12, and a standard deviation of 9.05%. He decides to purchase MEJ stock that has a mean return of 11.5%, a beta of 0.98, and a standard deviation of 12.3%. Assume these stocks are weighted in the portfolio 70% for ABC and 30% for MEJ. Also, these stocks exhibit a covariance of 19.86. Calculate the standard deviation for this two-asset portfolio. A) 1.16% B) 10.02% C) 3.23% D) 7.88% Explanation
The answer is 7.88%. To determine the standard deviation of a two-asset portfolio, use this formula: [W2Aσ2A + W2Bσ2B + 2WAWB(COVAB)]1/2 [(0.72 × 9.052) + (0.32 × 12.32) + (2 × 0.7 × 0.3 × 19.86)]1/2 [(0.49 × 81.90) + (0.09 × 151.29) + (8.3412)]1/2 [40.1310 + 13.6161 + 8.3412]1/2 62.08831/2 = 7.8796, or 7.88% Note the standard deviation for the portfolio is lower than the standard deviations for each security. This result directly supports the low correlation between the returns of ABC and MEJ. LO 6.2.4
Portfolio A has a standard deviation of 55%, and the market has a standard deviation of 40%. The correlation coefficient between Portfolio A and the market is 0.50. Calculate the percentage of total risk that is unsystematic. A) 25% B) 75% C) 50% D) 100%
The answer is 75%. The coefficient of determination explains the percentage of change in the dependent variable that can be explained by changes in the independent variable. Therefore, 25% (0.50 × 0.50) of returns are explained by changes in the market. To determine the percentage of returns that are explained by unsystematic risk, subtract the systematic risk from 1. Therefore, the return explained by unsystematic risk is (1 − 0.25) = 0.75, or 75%.
What is the covariance between OPC and NIR stocks with a standard deviation of 9.13% and 11%, respectively, and a correlation coefficient of 0.85? A) 28.69 B) 85.37 C) 23.77 D) 29.05 Explanation
The answer is 85.37. The covariance between the two stocks is 85.37 (9.13 × 11 × 0.85). Covariance measures the extent to which two variables move together, either positively (together) or negatively (opposite).
ABC Mutual Fund has a correlation coefficient of 0.93 with the S&P 500 Index. How much of the price movement of the fund can be explained by the S&P 500 Index? A) 93% B) 14% C) 7% D) 86%
The answer is 86%. The correlation coefficient (R) has been given, so it needs to be squared (R2) in order to come up with the coefficient of determination. (0.932 = 0.8649, or 86%) LO 6.2.5
STU Corporation stock has an average rate of return of 24% and a standard deviation of 10%. The risk-free rate of return is 4%. Assuming the historical returns for STU stock are normally distributed, calculate the probability that this stock will have a return in excess of the risk-free rate of return. A) 97.5% B) 2.5% C) 34.0% D) 95.0%
The answer is 97.5%. The probability of a return above 24% is 50%. The probability of a return between 4% and 24% is 47.5% (95% ÷ 2). Therefore, the probability of a return above 4% is 97.5% (50% + 47.5%). LO 6.2.2
You have narrowed your choice down to these three mutual funds which have these annual returns. Which fund should you choose based on risk and return? Fund XFund YFund ZYear 1+15%+7%+12%Year 2+9%+13%+2%Year 3+5%+8%+11% A) Any of these funds because the risk and return are equal B) Fund Z C) Fund X D) Fund Y
The answer is Fund Y. This is a problem that can be solved using the coefficient of variation. With the annual returns, calculate the standard deviation and mean return for each of the three funds: Fund XFund YFund ZStandard deviation5.03323.21465.5076Mean return9.66679.33338.3333Coefficient of variation0.52070.34440.6609 The lowest CV is the correct answer. Sample keystrokes for Fund X (repeat for the other funds) on the HP10BII+: 15 ∑+ 9 ∑+ 5 ∑+ SHIFT, Sx,Sy (8 key) = 5.0332 For the mean return: SHIFT, x,y (7 key) = 9.6667 Calculation as follows for the TI BA II+: Step 1: press "2nd" then "7". This activates the data screen. Step 2: press "2nd" then "CE/C" to clear all your existing work. Step 3: enter the first return "15" into the first "X01" screen and press enter. Step 4: hit the down arrow button "↓" and scroll past "Y01" and hit "↓" one more time until you get to "X02". Step 5: input the next return value which would be "9" and hit enter. Follow this process until you input all 3 values. Step 6: press "2nd" then "8" which is the "STAT" screen. Step 7: press "2nd" then "enter" which is the "SET" screen. Keep hitting the "2nd" and "enter" button until you see "1-V." Step 8: press "↓" to scroll through the calculated statistics. You will hit the "↓" button three times before you reach the standard deviation screen which will start with "Sx" and should equal "5.0332." Step 9: press the up arrow to see the stat above "Sx" which is "x" and should equal "9.67" as the mean. CV = standard deviation ÷ mean CV = 5.0332 ÷ 9.6667 = 0.5207 LO 6.2.3
Which of these statements concerning portfolio diversification is CORRECT? By increasing the number of securities in a portfolio, the total risk would be expected to fall at a decreasing rate. Total risk is reduced as diversification is increased. The benefits of diversification are not realized until at least 30 individual securities are included in the portfolio. Diversification reduces the portfolio's expected return because diversification reduces a portfolio's total risk. A) IV only B) I and II C) III and IV D) I, II, and III
The answer is I and II. Studies have shown that an investor only needs about 15-20 assets to fully diversify a portfolio. The main attraction of diversification is the reduction of risk without an accompanying loss of return.
You have recommended a growth mutual fund to a new client. The client considered your recommendation and asked why he should not invest in another fund that he had been following, which appeared to have a better performance over the past three years. You explained the concept of risk-adjusted performance and obtained this information about the two funds: Your FundClient FundThree-year total return13.5%14.75%Average P/E ratio20%24%Standard deviation19%23%Beta1.031.24 Which fund would you recommend based on each fund's relationship between risk and return? Your fund, because its coefficient of variation is 1.41, compared to the client's coefficient of variation of 1.56 Client fund, because its higher beta dictates that its return should also be higher, which in fact occurred Client fund, because standard deviations and betas change over time and the statistics are close enough so that the fund with the better return
The answer is I only. The standard deviation is divided by the total return to obtain the coefficient of variation. A beta is higher does not mean that any higher return is acceptable. The client's fund has higher risk as measured by both standard deviation and beta, but taking this higher risk does not provide sufficient return based on the coefficient of variation calculation.
Steve and Haley, ages 48 and 45 respectively, invest in large-cap stocks, international stock mutual funds, and rental real estate. They consider themselves moderately aggressive investors. Their investment portfolio is subject to which of these investment risks? Investment manager risk Financial risk Exchange rate risk Default risk A) I, II, and III B) I only C) II and IV D) I, II, III, and IV
The answer is I, II, and III. Their investment portfolio is subject to all of these risks except default risk. Investment manager risk is associated with the skills and philosophy of their mutual fund portfolio managers. Financial risk is the risk that a company's financial structure may negatively affect the value of an equity investment. By holding investments in international stock mutual funds, they are subject to exchange rate risk. LO 6.1.2
Candi purchases a 30-year zero-coupon corporate bond. The bond was issued by ABC Company, a Fortune 500 company. Her investment is subject to which of these risks? Default risk Reinvestment rate risk Purchasing power risk Interest rate risk A) II and III B) I, II, and III C) I, II, III, and IV D) I, III, and IV
The answer is I, III, and IV. Zero-coupon bonds are not subject to reinvestment rate risk. However, they are subject to purchasing power, interest rate, and default risk.
An investment portfolio has the following three stocks: StockInvestmentBetaStock 1$8,0000.6Stock 2$22,0001.3Stock 3$12,0000.9 Which of the following are CORRECT statements about this portfolio? The weighted beta for the portfolio is 0.93. The weighted beta for the portfolio is 1.05. The portfolio is less risky than the market. The portfolio is riskier than the market. A) II and IV B) II and III C) I and III D) I and IV
The answer is II and IV. The portfolio weighted beta is computed as follows: [(8 ÷ 42) × 0.6] + [(22 ÷ 42) × 1.3] + [(12 ÷ 42) × 0.9] = 0.114 + 0.681 + 0.257 = 1.052, or 1.05. Because the portfolio beta is more than 1.0, the portfolio is considered riskier than the market, which has a portfolio beta of exactly 1.0.
Which of these are nondiversifiable risks? Business risk Interest rate risk Market risk Purchasing power risk A) I and II B) I, II, III, and IV C) II, III, and IV D) III only
The answer is II, III, and IV. Business risk is a type of diversifiable, or unsystematic, risk. LO 6.1.2
Which of these statements regarding investment risk is CORRECT? A firm's decision to buy back some of its own stock in the open market by borrowing funds through a new bond issue is an example of reinvestment rate risk. Rising inflation represents purchasing power risk. A decline in a firm's share price as a result of a 20% decline in the S&P 500 Index represents market risk. A reduction in the value of an international stock mutual fund because of a depreciation of the Euro is an example of exchange rate risk. A) I, II, and III B) II, III, and IV C) IV only D) I and II Explanation
The answer is II, III, and IV. Only statement I is incorrect. A firm's decision to buy back some of its own stock in the open market by borrowing funds through a new bond issue is an example of financial risk. LO 6.1.2
The Galaxy Fund has a standard deviation of 15, and a mean return of 9%. The Universe Fund has a standard deviation of 22, and a mean return of 13%. The Milky Way Fund has a standard deviation of 18, and a mean return of 11%. Which fund should you choose in order to minimize the risk per unit of return? A) Galaxy Fund B) Each fund offers the same risk per unit of return. C) Milky Way Fund D) Universe Fund
The answer is Milky Way Fund. The Galaxy Fund has a coefficient of variation of 1.67, the Universe Fund has a coefficient of variation of 1.69, and the Milky Way Fund has a coefficient of variation of 1.64. Coefficient of variation = standard deviation ÷ mean return, select the lowest number. LO 6.2.3
Stock A has an expected mean return of 15% and a standard deviation of 22%; Stock B has an expected mean return of 11% and a standard deviation of 13%; and Stock C has an expected mean return of 18% and a standard deviation of 24%. You want to recommend one of these stocks to a client who is most interested in owning stocks that are more likely to deliver the expected mean return. Which stock should you recommend to meet this client's requirement? A) Stock B B) Stock C C) Stock A D) None of these
The answer is Stock B. The coefficient of variation is a measure of the degree of variation of returns compared with the expected mean return. The security with the lowest coefficient of variation is the one most likely to deliver periodic returns closest to its expected return. The coefficients of variation of the three securities are 1.47 for Stock A, 1.18 for Stock B, and 1.33 for Stock C. Stock B should be recommended. LO 6.2.3
Consider this information regarding two possible investments: Stocks J and K. Stock J: Expected return: 11.5% Standard deviation: 8% Stock K: Expected return: 8.2% Standard deviation: 6% Identify which of these investments you would prefer and why. A) Stock K because it has the highest coefficient of variation B) Stock K because it has the least risk C) Stock J because it has the lowest coefficient of variation D) Stock J because it has the highest expected return
The answer is Stock J because it has the lowest coefficient of variation. The stock with the lower coefficient of variation (CV) provides the least amount of risk for a given level of return. CV = standard deviation of asset ÷ expected return of asset. Stock J: CV = 0.08 ÷ 0.115 = 0.6957 Stock K: CV = 0.06 ÷ 0.082 = 0.7317
When analyzing various investment alternatives, investors would generally choose which of these? A) An investment exhibiting a high positive skewness and a platykurtic distribution B) An investment exhibiting a low positive skewness and a platykurtic distribution C) An investment exhibiting a high positive skewness and a leptokurtic distribution D) An investment exhibiting a low positive skewness and a leptokurtic distribution
The answer is an investment exhibiting a high positive skewness and a leptokurtic distribution. Investments exhibiting high positive skewness have a larger than average number of positive price movements. Also, investments exhibiting a leptokurtic distribution have more observations clustered closely around the mean, resulting in a lower variance. Investors prefer a large number of positive returns with low risk. LO 6.2.2
Choose the best measure of risk for an asset held in a well-diversified portfolio. A) Correlation coefficient B) Covariance C) Semivariance D) Beta Explanation
The answer is beta. Beta is the best measure of risk for an asset held in a well-diversified portfolio. LO 6.2.1
Identify which of these is NOT a source of systematic risk. A) Business risk B) Market risk C) Purchasing power risk D) Reinvestment rate risk
The answer is business risk. Business risk is a type of unsystematic risk. Unsystematic risks only affect one company, country, or sector and its related securities.
Which of these statements concerning portfolio diversification is CORRECT? A) The benefits of diversification are not realized until at least 25 individual securities are included in the portfolio. B) By increasing the number of securities in a portfolio, the total risk would be expected to fall at a decreasing rate. C) Only systematic risk is reduced as diversification is increased. D) Diversification reduces the portfolio's expected return because diversification reduces a portfolio's total risk. Explanation
The answer is by increasing the number of securities in a portfolio, the total risk would be expected to fall at a decreasing rate. As more and more securities are added to a portfolio, diversification benefits begin to diminish. The main attraction of diversification is the reduction of risk without an accompanying loss of return. LO 6.1.1
Choose the statement regarding the correlation coefficient that is NOT correct. A) A correlation coefficient of 0.0 means there is no relationship between the returns of the assets. B) Combining assets with less than perfect positive correlation will not reduce the total risk of the portfolio. C) Perfectly negatively correlated assets have a correlation coefficient of -1.0. D) Perfectly positively correlated assets have a correlation coefficient of +1.0.
The answer is combining assets with less than perfect positive correlation will not reduce the total risk or the portfolio. Combining assets with less than perfect positive correlation can reduce the total risk of the portfolio. The further the correlation coefficient between the two assets is away from +1.0, the greater the diversification benefits that may be attained.
All of these statements concerning the use of the correlation coefficient in reducing portfolio risk are CORRECT except A) combining two securities with perfect negative correlation provides no portfolio risk reduction. B) combining securities with perfect positive correlation provides no portfolio risk reduction. C) because securities typically have some positive correlation with each other, risk can be reduced, but seldom eliminated. D) combining two securities with zero correlation (statistical independence) reduces portfolio risk, but cannot eliminate it.
The answer is combining two securities with perfect negative correlation provides no portfolio risk reduction. Combining two securities with perfect negative correlation could eliminate risk altogether. This is the principle behind hedging strategies. LO 6.2.4
Which one of these factors has the greatest impact on the standard deviation of a two-asset portfolio? A) Covariance B) The portfolio's beta C) The weight of each security in the portfolio D) The standard deviation of each security in the portfolio
The answer is covariance. Covariance is the most important variable in minimizing the standard deviation of a portfolio. The weight and standard deviation are not as critical as the covariance of the two securities. Beta is not used in the formula to compute a portfolio's standard deviation. LO 6.2.4
ABC Corporation is a manufacturer of electronic devices used in the manufacturing of airplanes. Five years ago, the corporation floated a $100 million bond issue that would be used to finance improvements at its main manufacturing and distribution center. However, orders for its products have dropped dramatically due to much lower than anticipated demand. The company believes it may miss paying the coupon payment on the bond issue in the upcoming fiscal year. Which of these risks may the owners of ABC Corporation bonds be subject to by holding the bonds? A) Reinvestment rate risk B) Default risk C) Market risk D) Regulation risk
The answer is default risk. Default risk is the risk that a business will be unable to service its debt obligations. LO 6.1.2
Bobby has these securities in his portfolio: ABC common stock, XYZ common stock, PQR mutual fund (domestic small cap), DEZ mutual fund (foreign small cap), 30-year Treasury bond, and 5-year Treasury note. Point out the risk that should NOT concern Bobby. A) Systematic risk B) Financial risk C) Default risk D) Reinvestment rate risk Explanation
The answer is default risk. Treasuries are considered default risk-free. Financial risk is the uncertainty introduced from the method by which a firm finances its assets (i.e., debt versus equity financing). Reinvestment rate risk is the risk that as cash flows are received they will be reinvested at lower rates of return than the investment that generated the cash flows. Systematic risk is the risk that all securities are subject to and typically cannot be eliminated through diversification.
Andy owns a yen-denominated bond that matures in 15 years. Andy's bond is subject to which one of these combinations of systematic risk? A) Exchange rate risk and reinvestment rate risk B) Interest rate risk and default risk C) Market risk and business risk D) Financial risk and purchasing power risk
The answer is exchange rate risk and reinvestment rate risk. Because Andy owns a foreign investment, he would be subject to exchange rate risk. Also, coupon-paying bonds are subject to reinvestment rate risk. LO 6.1.2
Which of these is NOT a type of unsystematic risk? A) Default risk B) Exchange rate risk C) Country risk D) Financial risk
The answer is exchange rate risk. Exchange rate risk is a type of systematic risk. Systematic risks are those risks that affect the entire market. Systematic risks include market risk, interest rate risk, purchasing power risk, reinvestment rate risk, and exchange rate risk. LO 6.1.2
Which of these types of risk is associated with the degree to which a company utilizes debt to finance its operations? A) Credit risk B) Default risk C) Business risk D) Financial risk
The answer is financial risk. Financial risk is associated with the degree to which a company utilizes debt to finance its operations.
The risk associated with the amount of debt a company has issued is A) business risk. B) interest rate risk. C) financial risk. D) systematic risk.
The answer is financial risk. Financial risk is the risk related to the amount of debt a company has. Business risk is the risk associated with the nature of the business. Interest rate risk is the risk that as interest rates increase, bond prices decrease. Systematic risk is the risk associated with all factors affecting all comparable investments. LO 6.1.2
Bill and Jane are considering adding additional assets to their investment portfolio. They consider themselves moderate-to-high-risk investors. Based on safety of principal, point out the investment that would offer the couple the least amount of protection from risk. A) Balanced mutual funds B) Real estate C) High-grade common stock D) Futures
The answer is futures. Based on the risk-return pyramid, futures will offer the couple the least amount of protection. However, due to their high risk, futures may offer the greatest amount of return.
Wendy is concerned that her investment's actual return will not equal its expected return. Point out the type of risk that she is concerned about regarding her investment. A) Business risk B) Purchasing power risk C) Tax risk D) Investment risk
The answer is investment risk. Investment risk is the uncertainty that an investment's actual, or realized, return will not equal its expected return. LO 6.1.2
A distribution that is more peaked than normal is A) skewed. B) convex. C) platykurtic. D) leptokurtic.
The answer is leptokurtic. A distribution that is more peaked than normal is leptokurtic. A distribution that is flatter than normal is platykurtic. LO 6.2.2
investors who want to bear the least amount of risk should acquire stocks with beta coefficients A) greater than 1.0. B) greater than 1.5. C) less than 0.5. D) less than 1.0. Explanation
The answer is less than 0.5. When seeking investments having the least amount of risk, the lowest beta should be selected.
Which one of these alternatives correctly outlines the importance of the portfolio perspective? A) Market participants should attempt to eliminate the unsystematic risk associated with each security by forming portfolios that will diversify away this risk. B) Market participants should analyze the risk-return trade-off of each individual security. C) Market participants should focus on the systematic risk of the components of a portfolio not the unsystematic risk of the components of a portfolio. D) Market participants should analyze the risk-return trade-off of the portfolio, not the risk-return trade-off of the individual investments in a portfolio. Explanation
The answer is market participants should analyze the risk-return trade-off of the portfolio, not the risk-return trade-off of the individual investments in a portfolio. The key underlying principle of the portfolio perspective is that market participants should analyze the risk-return trade-off of the portfolio as a whole, not the risk-return trade-off of the individual investments in the portfolio.
Which of these is NOT an unsystematic risk? A) Market risk B) Business risk C) Default risk D) Liquidity risk Explanation
The answer is market risk. Unsystematic risk is the risk that affects only one company, country, or sector and its securities. Market risk is an example of a systematic risk. LO 6.1.2
In a positively skewed distribution, what is the order (from lowest value to highest) for the distribution's mode, mean, and median values? A) Mode, median, mean B) Mean, median, mode C) Mode, mean, median D) Median, mode, mean
The answer is mode, median, mean. In a positively skewed distribution, the mode is less than the median, which is less than the mean. LO 6.2.2
Select the term that measures how far the actual outcomes of a probability distribution deviate from the arithmetic mean. A) Variability B) Lognormal C) Kurtosis D) Skewness
The answer is skewness. Skewness measures how far the median return is from the mean return in decimal terms.
Unsystematic (unique) risk can be reduced by buying A) stock in less-interest-rate-sensitive companies. B) international stocks. C) stocks in numerous unrelated companies. D) stocks in natural resource companies.
The answer is stocks in numerous unrelated companies. Owning stock in unrelated companies results in holding stocks that have a low correlation coefficient between them. If a portfolio has numerous diversified issues of stocks, an investor can reduce and virtually eliminate the degree of unsystematic (unique) risk in the portfolio. Buying stocks in international companies can help to reduce systematic risk, because those stocks trade in different markets.
A general risk component representing the variability of a stock's total return as it directly relates to overall movements in the general economy is known as A) reinvestment rate risk. B) systematic risk. C) business risk. D) financial risk. Explanation
The answer is systematic risk. Systematic risk, also referred to as market risk, is the variability in a stock's total return that is directly associated with overall movements in the general economy and cannot be eliminated through diversification.
A distribution with a mean that is less than its median most likely A) is negatively skewed. B) symmetrical. C) has negative excess kurtosis. D) is positively skewed. Explanation
The answer is that the distribution is negatively skewed. A distribution with a mean that is less than its median is a negatively skewed distribution. A negatively skewed distribution is characterized by many small gains and a few extreme losses. Note that kurtosis is a measure of the peakedness of a return distribution. In a symmetrical distribution, the mean, median, and mode are all equal.
A beta coefficient of 1.3 indicates that a stock A) has more unsystematic risk than the market. B) is less volatile than the market. C) has less unsystematic risk than the market. D) is more volatile than the market.
The answer is that the stock is more volatile than the market. A beta that is higher than 1.0 indicates that the stock's volatility and risk are higher than that of the market. LO 6.2.1
Which one of these is a measure of a security's risk-adjusted return? A) Coefficient of determination B) Correlation coefficient C) Covariance D) Coefficient of variation
The answer is the coefficient of variation. The coefficient of variation is one of several ways to compute a security's risk-adjusted return. The coefficient of determination measures how much of the movement of a security is attributable to a second security. The correlation coefficient measures the strength of the relationship between two securities. Covariance is used in the computation of a portfolio's standard deviation.
Exchange rate risk refers to fluctuations in A) the price of one currency relative to other currencies. B) the values of bonds and other debt instruments. C) the prices of stocks on the New York Stock Exchange. D) the value of an investor's portfolio.
The answer is the price of one currency relative to other currencies. Relative currency prices and changes to them are the basis of exchange rate risk.
If two stocks have positive covariance, which of these statements is CORRECT? A) The two stocks must be in the same industry. B) The rates of return tend to move in the opposite direction relative to their individual means. C) The rates of return tend to move in the same direction relative to their individual means. D) If one stock doubles in price, the other will also double in price.
The answer is the rates of return tend to move in the same direction relative to their individual means. If one stock doubles in price, the other will also double in price is true if the correlation coefficient = 1. The two stocks need not be in the same industry. LO 6.2.4
If a security has an average return of 14.2% and a standard deviation of 8.4%, then A) the security's returns can be expected to always be positive. B) the security's returns can be expected to be between 8.4% and 14.2% approximately 95% of the time. C) the security's returns can be expected to be between 5.8% and 22.6% approximately 68% of the time. D) the security's annual volatility can be expected to be within a range approximately 8.4% above and 8.4% below the current fair market value. Explanation
The answer is the security's returns can be expected to be between 5.8% and 22.6% approximately 68% of the time. This security can be expected to have a return that does not range beyond one standard deviation on either side of its average return approximately 68% of the time. LO 6.2.2
You are comparing two stocks based on the statistics below. Which one is the better investment based on the risk/return relationship? Stock AStock BAverage Return3.00%9.00%Standard Deviation3.9511.86 A) Stock A because it has a lower standard deviation B) The two stocks have equal risk/reward profiles C) Stock B because it has a higher return D) Cannot be determined from the information given Explanation
The answer is the two stocks have equal risk/reward profiles. The coefficient of variation is used to evaluate risk/return and is 3.95 ÷ 3.00 = 1.32 for stock A and 11.86 ÷ 9.00 = 1.32 for stock B, so both are equal in the amount of return relative to the risk. LO 6.2.3
Beverly owns two stocks with a correlation coefficient of zero. Which of these is CORRECT? A) These stocks are well diversified because as one stock appreciates in value, the other decreases in value. B) These stocks are well diversified because they will move in unison. C) These stocks are not well diversified because they move in unison. D) These stocks will move independently of each other.
The answer is these stocks will move independently of each other. A correlation coefficient of zero means that the two stocks will move independently. Because most stocks are positively correlated, a correlation coefficient of zero should provide more diversification benefits than most pairs of stocks. LO 6.2.4
Select the CORRECT statement regarding investors who only purchase high-beta stocks. A) They prefer stocks with low risk and low positive skewness. B) They prefer stocks with high risk and high positive skewness. C) They prefer stocks with low risk and high positive skewness. D) They prefer stocks with high risk and low positive skewness.
The answer is they prefer stocks with high risk and high positive skewness. Generally, these types of investors would prefer stocks with high risk (high beta) and high positive skewness that provide the opportunity for high rates of return. Stocks exhibiting high positive skewness have a larger than average number of positive price movements. LO 6.2.2
Diversification reduces A) purchasing power risk. B) market risk. C) systematic risk. D) unsystematic risk. Explanation
The answer is unsystematic risk. Unsystematic risk can be diversified away by investing in approximately 10-15 large company stocks in different industries and 25-30 small company stocks in different industries. Systematic risk cannot be reduced by diversification. LO 6.1.1
The issuer-specific component of the variability in a stock's total return that is unrelated to overall market variability is known as A) nondiversifiable risk. B) unsystematic risk. C) fundamental risk. D) systematic risk. Explanation
The answer is unsystematic risk. Unsystematic risk is unique to a single security, business, industry, or country and may be reduced by diversification.
All of the following statements correctly explain investment risk except A) investors expect to earn a higher rate of return for assuming a higher level of risk. B) the beta coefficient measures an individual stock's relative volatility to the market. C) a stock's level of risk is a combination of market risk and diversifiable risk. D) systematic risk may be reduced or eliminated by effective portfolio diversification. Explanation
Unsystematic (diversifiable) risk may be effectively managed through portfolio diversification. LO 6.1.1
Which of the following is the risk that disappears in the portfolio construction process? A) Unsystematic risk B) Purchasing power risk C) Systematic risk D) Interest rate risk Explanation
Unsystematic risk (diversifiable risk) is the risk that is eliminated when the investor builds a well-diversified portfolio. LO 6.1.1
You have narrowed your choice down to these investments with the following characteristics: JJJ LLL NNN YYY Mean return 10 18 7 11 Standard deviation 17 25 10 19 Which fund has the least risk per unit of return? A) YYY Fund B) JJJ Fund C) NNN Fund D) LLL Fund Explanation
Using the coefficient of variation (CV). JJJ Fund: 17 ÷ 10 = 1.70 LLL Fund: 25 ÷ 18 = 1.39 NNN Fund 10 ÷ 7 = 1.43 YYY Fund 19 ÷ 11 = 1.73 The stock with the lowest CV has the least amount of total risk per unit of expected return. LO 6.2.3
The annual returns of the ABC fund have been +12%. -4%, and +7%. What is the standard deviation of the fund's returns? A) 5.00% B) 8.19% C) 7.79% D) 4.04%
he answer is 8.19%. HP 10bII+ keystrokes: 12, ∑+ 4, +/-, ∑+ 7, ∑+ SHIFT, Sx,Sy (8 key) for standard deviation Calculation is as follows for the TI BA II+: Step 1: press "2nd" then "7". This activates the data screen. Step 2: press "2nd" then "CE/C" to clear all your existing work. Step 3: enter the first return "12" into the first "X01" screen and press enter. Step 4: hit the down arrow button "↓" and scroll past "Y01" and hit "↓" one more time until you get to "X02". Step 5: input the next return value which would be "4,+/-" and hit enter. Follow this process until you input all three values. Step 6: press "2nd" then "8" which is the "STAT" screen. Step 7: press "2nd" then "enter" which is the "SET" screen. Keep hitting the "2nd" and "enter" button until you see "1-V." Step 8: press "↓" to scroll through the calculated statistics. You will hit the "↓" button 3 times before you reach the standard deviation screen which will start with "Sx" and should equal "8.19."
Which of the following risks is specific to international investing? A) Reinvestment rate risk B) Exchange rate risk C) Event risk D) Business risk
xplanation Exchange rate risk pertains to foreign investments and is the risk for a U.S. investor that the exchange rates between a foreign currency and the U.S. dollar change adversely; that is, when the U.S. investor converts the foreign currency into U.S. dollars, she will get fewer dollars than previously. LO 6.1.2
