Question 9 (4 points)
Below are returns on the stock A and S&P500 index. All numbers are in decimals (-0.0222 is equivalent to -2.22%).
A | S_P500 |
-0.0222 | 0.0032 |
-0.0048 | -0.0058 |
0.1333 | 0.0434 |
0.0765 | 0.1081 |
-0.0161 | -0.0121 |
0.1250 | 0.1400 |
0.0145 | 0.0368 |
-0.0475 | -0.0454 |
0.0430 | 0.0577 |
-0.0260 | -0.1374 |
0.0071 | 0.0064 |
0.0249 | 0.0186 |
0.0850 | 0.0215 |
-0.0624 | -0.0752 |
0.0933 | 0.0365 |
0.0456 | 0.0528 |
-0.0632 | -0.0131 |
0.0450 | 0.0009 |
0.0200 | 0.0017 |
0.0280 | 0.0985 |
Suppose that the next S&P500 return will be 7%. Use the CAPM model to calculate the expected return on the stock A. Assume the risk-free rate of 1%.
Please write an answer in decimals. For example, 12.34% would be
0.1234.
Also, round your answer to the fourth decimal.
A | B | C | D | E | F | G | H |
2 | |||||||
3 | A | S_P500 | |||||
4 | -2.22% | 0.32% | |||||
5 | -0.48% | -0.58% | |||||
6 | 13.33% | 4.34% | |||||
7 | 7.65% | 10.81% | |||||
8 | -1.61% | -1.21% | |||||
9 | 12.50% | 14.00% | |||||
10 | 1.45% | 3.68% | |||||
11 | -4.75% | -4.54% | |||||
12 | 4.30% | 5.77% | |||||
13 | -2.60% | -13.74% | |||||
14 | 0.71% | 0.64% | |||||
15 | 2.49% | 1.86% | |||||
16 | 8.50% | 2.15% | |||||
17 | -6.24% | -7.52% | |||||
18 | 9.33% | 3.65% | |||||
19 | 4.56% | 5.28% | |||||
20 | -6.32% | -1.31% | |||||
21 | 4.50% | 0.09% | |||||
22 | 2.00% | 0.17% | |||||
23 | 2.80% | 9.85% | |||||
24 | Mean Return | 2.50% | 1.69% | =AVERAGE(E4:E23) | |||
25 | St. Deviation | 5.73% | 6.23% | =STDEV.S(E4:E23) | |||
26 | Cov(A,S&P 500) | 0.002555 | |||||
27 | |||||||
28 | Beta for A | =Cov(A,S&P 500) / Variance of Market | |||||
29 | 0.66 | =D26/ (E25^2) | |||||
30 | |||||||
31 | As Per CAPM, expected return can be calculated as | ||||||
32 | r(E) = rf + β*(rm-rf) | ||||||
33 | Using the Following data | ||||||
34 | Beta (β) | 0.66 | |||||
35 | Risk free rate ( rf ) | 1.0% | |||||
36 | Market Return (rm) | 7% | |||||
37 | |||||||
38 | expected return can be calculated as follows: | ||||||
39 | Expected return | = rf + β*(rm-rf) | |||||
40 | =1%+0.66*(7%-1%) | ||||||
41 | 4.95% | =D35+D34*(D36-D35) | |||||
42 | |||||||
43 | Hence expected return is | 4.95% | |||||
44 |
Question 9 (4 points) Below are returns on the stock A and S&P500 index. All numbers are in decimals (-0.0222 is equivalent to -2.22%). A S_P500 -0.0222 0.0032 -0.0048 -0.0058 0.1333 0.04...
Below are returns on the stock A and S&P500 index. All numbers are in decimals (-0.0222 is equivalent to -2.22%). A S_P500 -0.0222 0.0032 -0.0048 -0.0058 0.1333 0.0434 0.0765 0.1081 -0.0161 -0.0121 0.1250 0.1400 0.0145 0.0368 -0.0475 -0.0454 0.0430 0.0577 -0.0260 -0.1374 0.0071 0.0064 0.0249 0.0186 0.0850 0.0215 -0.0624 -0.0752 0.0933 0.0365 0.0456 0.0528 -0.0632 -0.0131 0.0450 0.0009 0.0200 0.0017 0.0280 0.0985 What is the sample standard deviation of the S&P500 returns? Please write an answer in decimals. For example,...