Suppose the returns on an asset are normally distributed. The historical average annua return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than -4.1 percent in a given year? Use the NORMDIST function in ExcelⓇ to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your

Suppose the returns on an asset are normally distributed. The historical average annua return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than -4.1 percent in a given year? Use the NORMDIST function in ExcelⓇ to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, is 18.7%; and that the coefficient of variation, CV, is 1.88, answer the following questions: a. Find the standard deviation of returns, sigma Subscript rσr. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
For each of the following situations, Identify (1) the case as either (a) a present or a future value and (b) a single amount or an annulty. (2) the table you would use in your computations (but do not solve the problem), and (3) the Interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1) Note: Use appropriate factor(s) from the tables provided. Round "Table Factors" to 4 decimal places. a. You need to accumulate $10,100 for a trip you wish to take in four years. You are able to earn 10% compounded semiannually on your savings. You plan to make only one deposit and let the money accumulate for four years. How would you determine the amount of the one-time deposit? b. Assume the same facts as in part (a) except that you will make semiannual deposits to your savings account. What is the required amount of each semiannual deposit? 1. You want to retire after working 40 years with savings in excess of $1,020,000. You expect to save $4,080 a year for 40…
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Determine the present value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Determine the present value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. Future Amount $ 25,000 $ 19,000 $ 30,000 $ 45,000 ¡= 6% 10% 12% 11% n = 11 14 29 10 Present Value
Find the internal rate of return (IRR) for the following cash flows. Enter your answer as a percent and include at least two decimal points, e.g., 8.35 for 8.35 %, not 0.08. Year Cash Flow 0 750 1 200 2 375 3 250 4 100 5 75
Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)
The following information relates to four assets: Probability Return on E Return on F Return on G Return on H 0.1 10% 6% 14% 2% 0.2 10% 8% 12% 6% 0.4 10% 10% 10% 9% 0.2 10% 12% 8% 15% 0.1 10% 14% 6% 20% (a) What is the expected return for each of the assets? (4) (b) Calculate the variance of each asset. (8) (c) Determine the covariance of asset F and G. (4) (d) What is the correlation coefficient between assets F and G? (4)
Determine the future value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Invested Amount i- n Future Value 1. $ 11,500 7% 15 23 $ 15,000 6% 14 $ 28,000 12% 14 4. S 48,000 8% 6
C
Calculate the standard deviation of the following returns. Year Return 1 0.01 2 0.27 3 0.02 4 0.02 5 0.22 Enter the answer with 4 decimals, e.g. 0.1234.
Calculate the arithmetic average of the following returns. Year Return1 0.12 20.16 3 0.24 4 0.13 50.02 Enter the answer with 4 decimals, e.g. 0.1234.
Use the data shown in the following table: K a. Compute the average return for each of the assets from 1929 to 1940 (the Great Depression). b. Compute the variance and standard deviation for each of the assets from 1929 to 1940. c. Which asset was the riskiest during the Great Depression? How does that fit with your intuition? Note: For all your answers type decimal equivalents. Data table Year 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 S&P 500 -0.08906 -0.25256 - 0.43861 -0.08854 0.52880 -0.02341 0.47221 0.32796 -0.35258 0.33204 -0.00914 - 0.10078 Small Stocks - 0.43081 -0.44698 -0.54676 -0.00471 2.16138 0.57195 0.69112 0.70023 - 0.56131 0.08928 0.04327 -0.28063 Corp. Bonds 0.04320 0.06343 -0.02380 0.12199 0.05255 0.09728 0.06860 0.06219 0.02546 0.04357 0.04247 0.04512 World Portfolio -0.07692 -0.22574 -0.39305 0.03030 0.66449 0.02552 0.22782 0.19283 -0.16950 0.05614 -0.01441 0.03528 Treasury Bills 0.04471 0.02266 0.01153 0.00882 0.00516 0.00265 0.00171 0.00173…

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