
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Given the following probability distribution, what is the standard deviation of returns for Security J? (Expresss your answer in percentage, but do not include the percent sign, %, i.e., 4.65)
State
|
Pi
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rJ
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1
|
0.2
|
8 %
|
2
|
0.6
|
12
|
3
|
0.2
|
17
|
|
|
|
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- A coefficient of determination of 0.6 means that \\( 40 \\% \\) of the variation in a security's return is related to factors other than the security's relationship to the market. True Falsearrow_forwardProb. Return (%) B 0.1 40 G 0.2 30 O 0.3 15 L 0.2 2 S 0.2 -12 where B-Bloom,G-Good, O-Ok, L-Level and S- Slump Probability(p(x)) Return(x) (%) x*p(x) x2*p(x) B 0.1 40 0.1*40=4 0.1*402=160 G 0.2 30 0.2*30=6 0.2*302=180 O 0.3 15 0.3*15=4.5 0.3*152=67.5 L 0.2 2 0.2*2=0.4 0.2*22=0.8 S 0.2 -12 0.2*-12=-2.4 0.2*(-12)2=28.8 Expected return==E(x)=∑x*p(x)=4+6+4.5+0.4-2.4 =12.5% Variance of return=E(x2)-[E(x)]2 E(x2)=∑x2p(x)=160+180+67.5+0.8+28.8 = 437.1 Variance= 437.1-(12.5)2 = 280.85 sd of return= 280.85 = 16.76% The expected return on Granny's gold investment is 12.5% The sd of return on Granny's gold investment is 16.76% 1. In your own words, define the two components of total risk? Give examples of both risks.2. How is beta estimated or calculated?arrow_forwardM102LON/JAN 3. Security A has the following probability distribution of returns: Scenario Probability Return 1 0.1 15% 2 0.8 25% 0.1 35% What is the variance for Security A? a. 0.002 b. 0.020 С. 0.200 d. 0.300 3.arrow_forward
- An exponential probability distribution _____. a. must be normally distributed b. is a discrete distribution c. is a continuous distribution d. can be either continuous or discretearrow_forwardConsider the following information: a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)arrow_forwardGiven the following probability distribution, what are the expected return and the standard deviation of returns for Security J? State Pi ri 1 0.5 11% 2 0.3 8% 3 0.2 5% O 9.40%; 2.04% O 8.90%; 2.34% O 7.40%; 2.94% O 8.40%; 2.64% O 7.90%; 1.74%arrow_forward
- There is one period. Assume a representative agent with utility function U(ct) = αc_t − βc^2_tassume the following: α = 100, β = 1, and δ = 0.97. Consumption at t = 0 is C0 = 24. At t = 1 one of two states θ1 and θ2 eventuate with probability π1 = 0.5, and π2 = 0.5,respectively. There are two complex securities s^1 and s^2.s^1 has a payoff of 23 in θ1 and 27 in θ2.s^2 has a payoff of 20 in θ1 and 32 in θ2.What is the stochastic discount factor mt+1? hint: Recall mt+1 =δU′(ct+1)/U′(ct)arrow_forwardSu 2 The standard deviation of return on investment A is 19%, while the standard deviation of return on investment B is 14%. If the covariance of returns on A and B is 0.004, the correlation coefficient between the returns on A and B is 00:05:46 臺 Mc Graw Hill Delivery co ler.arrow_forwardYou are given the following possible returns for Security J. Given this information, determine the coefficient of variation for Security J State Probability G 1 30% 10% 25% 18% 14% 24% 27% 2 3 4 O 0.3907 O 0.3847 O 0.3721 O 0.4040 00.3597 31%arrow_forward
- 1. Using the following returns, calculate the average returns, the variance, standard deviations, and coefficient of variation for X and Y. Which stock is the least risky? Yr 1 2 3 Rx 12.20 9.65 0.00 6.50 Ry 4 8.00 -2.00 12.50 9.57arrow_forwardConsider the following information: Standard Deviation Beta Security C Security K Which security will have a higher expected return? Oa. C O b. K 20% 30% 1.25 0.95 A Oc Both securities will have the same expected return Od. Insufficient information to answer the questionarrow_forwardProbability Returns 0.15 0.20 2.0.35 0.20 0.10 8.65 Based on the above information, what is the risk (standard deviations) ? 2.94 3,92 10% 8,68 12% 15% 17% 20%arrow_forward
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