Feb 6, 2017

Market risk and beta calculation. Example company: Midas Financing Ltd.

I was assigned by a company which is “Midas Financing Ltd.” on which I calculated the market risk and beta. After collecting the data of the company I have analyzed it thoroughly and gave my best effort to present the company’s risk & return through beta.


Midas Finance Limited is established in 1993 with a view to establishing a new way of deposit as a leading non-banking financial institution in Bangladesh. Midas Finance Limited is a leading operating enterprise in Bangladesh in the field of deposit keeping.
The data taken to calculate the beta was of six months and therefore the validity of the beta limits to that timeline. Analyzed beta is 0.57 and that implies that the security is less volatile than the market.


'Market Risk'
Market risk is the possibility for an investor to experience losses due to factors that affect the overall performance of the financial markets. Market risk, also called "systematic risk," cannot be eliminated through diversification, though it can be hedged against. The risk that a major natural disaster will cause a decline in the market as a whole is an example of market risk. Other sources of market risk include recessions, political turmoil, changes in interest rates and terrorist attacks. The “Beta coefficient” is used to calculate the market risk which is also called undiversifiable risk

'Beta'
Beta is a measure of the volatility, or systematic risk, of a security or a portfolio in comparison to the market as a whole. Beta is used in the capital asset pricing model (CAPM), a model that calculates the expected return of an asset based on its beta and expected market returns. Beta is calculated using regression analysis. Beta is the tendency of a security's returns to respond to swings in the market. A beta of 1 indicates that the security's price will move with the market. A Beta less than 1 means, the security will be less volatile than the market. A beta of greater than 1 indicates that the security's price will be more volatile than the market. For example, if a stock's beta is 1.2, it's theoretically 20% more volatile than the market. Many utilities stocks have a beta of less than 1. Conversely, most high-tech stocks have a beta of greater than 1, offering the possibility of a higher rate of return, but also posing more risk.
Beta is important because it measures the risk of an investment that cannot be reduced by diversification. It does not measure the risk of an investment held on a stand-alone basis, but the amount of risk the investment adds to an already-diversified portfolio. In the capital asset pricing model, beta risk is the only kind of risk for which investors should receive an expected return higher than the risk-free rate of interest.
A common expression for beta is,
Where, Cov and Var are the covariance and variance operators. This can also be expressed as
Where ρa,b is the correlation of the two returns, and σa and σb are the respective volatilities. Relationships between standard deviation, variance and correlation:
Beta calculation in Microsoft Excel
Formula:
1.      = SLOPE(known_y's, known_x's)
Here, known y’s= Stock returns and known x’s= Market returns
Alternative formula:
2.      =COVARIANCE.P(equity price array, index price array)/VAR.P(index price array)
Data source:
·         http://www.dsebd.org/data_archive.php
MIDAS Financing Ltd.
Stock Return
DSEX
Market Return
Beta
Month
Date
Close Price
% Change
Close Price
% Change
0.57
30-Jun-15
12
4583.11
July
2-Jul-15
13
8.33%
4572.59
-0.23%
5-Jul-15
11.9
-8.46%
4536.00
-0.80%
6-Jul-15
12.8
7.56%
4526.72
-0.20%
7-Jul-15
13
1.56%
4565.25
0.85%
8-Jul-15
12.4
-4.62%
4579.73
0.32%
9-Jul-15
12.9
4.03%
4599.91
0.44%
12-Jul-15
12.9
0.00%
4615.20
0.33%
13-Jul-15
12.5
-3.10%
4628.85
0.30%
14-Jul-15
12.6
0.80%
4656.14
0.59%
21-Jul-15
12.7
0.79%
4731.32
1.61%
22-Jul-15
12.9
1.57%
4741.98
0.23%
23-Jul-15
12.8
-0.78%
4808.40
1.40%
26-Jul-15
12.9
0.78%
4786.49
-0.46%
27-Jul-15
13
0.78%
4775.28
-0.23%
28-Jul-15
13.9
6.92%
4797.17
0.46%
29-Jul-15
13.5
-2.88%
4777.90
-0.40%
30-Jul-15
13.2
-2.22%
4792.31
0.30%
August
2-Aug-15
13.2
0.00%
4802.02
0.20%
3-Aug-15
13.6
3.03%
4862.55
1.26%
4-Aug-15
13.6
0.00%
4871.81
0.19%
5-Aug-15
13.9
2.21%
4873.96
0.04%
6-Aug-15
14.1
1.44%
4864.45
-0.20%
9-Aug-15
14.1
0.00%
4844.36
-0.41%
10-Aug-15
15
6.38%
4815.64
-0.59%
11-Aug-15
14.8
-1.33%
4791.47
-0.50%
12-Aug-15
14
-5.41%
4821.62
0.63%
13-Aug-15
14.1
0.71%
4808.87
-0.26%
16-Aug-15
13.8
-2.13%
4783.81
-0.52%
17-Aug-15
14.1
2.17%
4768.01
-0.33%
18-Aug-15
13.4
-4.96%
4809.27
0.87%
19-Aug-15
13.8
2.99%
4816.98
0.16%
20-Aug-15
14
1.45%
4840.16
0.48%
23-Aug-15
13.8
-1.43%
4831.72
-0.17%
24-Aug-15
13.8
0.00%
4794.00
-0.78%
25-Aug-15
13.6
-1.45%
4792.94
-0.02%
26-Aug-15
13.7
0.74%
4805.66
0.27%
27-Aug-15
13.8
0.73%
4812.82
0.15%
30-Aug-15
13.9
0.72%
4790.98
-0.45%
31-Aug-15
13.8
-0.72%
4768.67
-0.47%
September
1-Sep-15
14.3
3.62%
4724.52
-0.93%
2-Sep-15
14.2
-0.70%
4763.88
0.83%
3-Sep-15
14.4
1.41%
4765.72
0.04%
6-Sep-15
15
4.17%
4772.65
0.15%
7-Sep-15
15.3
2.00%
4791.91
0.40%
8-Sep-15
15.2
-0.65%
4784.46
-0.16%
9-Sep-15
15.3
0.66%
4758.43
-0.54%
10-Sep-15
16
4.58%
4760.14
0.04%
13-Sep-15
16.3
1.88%
4768.30
0.17%
14-Sep-15
16.4
0.61%
4786.19
0.38%
15-Sep-15
16.2
-1.22%
4801.81
0.33%
16-Sep-15
16.1
-0.62%
4796.82
-0.10%
17-Sep-15
16.4
1.86%
4819.45
0.47%
20-Sep-15
16.7
1.83%
4830.68
0.23%
21-Sep-15
17
1.80%
4841.62
0.23%
22-Sep-15
17
0.00%
4853.29
0.24%
27-Sep-15
17
0.00%
4853.29
0.00%
28-Sep-15
17.2
1.18%
4866.76
0.28%
29-Sep-15
17.3
0.58%
4853.17
-0.28%
30-Sep-15
17.4
0.58%
4852.08
-0.02%
October
1-Oct-15
16.9
-2.87%
4856.97
0.10%
4-Oct-15
16.4
-2.96%
4814.61
-0.87%
5-Oct-15
16.7
1.83%
4831.60
0.35%
6-Oct-15
16.8
0.60%
4833.33
0.04%
7-Oct-15
16.3
-2.98%
4800.63
-0.68%
8-Oct-15
16.4
0.61%
4781.36
-0.40%
11-Oct-15
15.3
-6.71%
4728.13
-1.11%
12-Oct-15
15.2
-0.65%
4776.15
1.02%
13-Oct-15
15.1
-0.66%
4779.66
0.07%
14-Oct-15
14.6
-3.31%
4716.08
-1.33%
15-Oct-15
14.7
0.68%
4676.63
-0.84%
18-Oct-15
15
2.04%
4608.03
-1.47%
19-Oct-15
15.1
0.67%
4644.64
0.79%
20-Oct-15
13.9
-7.95%
4657.65
0.28%
21-Oct-15
14.1
1.44%
4647.68
-0.21%
25-Oct-15
15.3
8.51%
4649.29
0.03%
26-Oct-15
15.1
-1.31%
4630.58
-0.40%
27-Oct-15
14.6
-3.31%
4589.33
-0.89%
28-Oct-15
14.3
-2.05%
4579.37
-0.22%
29-Oct-15
14.1
-1.40%
4564.49
-0.32%
November
1-Nov-15
13.5
-4.26%
4514.85
-1.09%
2-Nov-15
12.9
-4.44%
4536.05
0.47%
3-Nov-15
14
8.53%
4551.51
0.34%
4-Nov-15
15.2
8.57%
4511.31
-0.88%
5-Nov-15
15.9
4.61%
4502.16
-0.20%
8-Nov-15
15.4
-3.14%
4443.15
-1.31%
9-Nov-15
15.2
-1.30%
4416.91
-0.59%
10-Nov-15
15.4
1.32%
4410.58
-0.14%
11-Nov-15
15
-2.60%
4371.54
-0.89%
12-Nov-15
15
0.00%
4433.58
1.42%
15-Nov-15
15.4
2.67%
4424.21
-0.21%
16-Nov-15
14.9
-3.25%
4475.81
1.17%
17-Nov-15
14.8
-0.67%
4496.36
0.46%
18-Nov-15
14.5
-2.03%
4496.68
0.01%
19-Nov-15
14.9
2.76%
4531.63
0.78%
22-Nov-15
14.9
0.00%
4596.81
1.44%
23-Nov-15
15.1
1.34%
4585.11
-0.25%
24-Nov-15
15.3
1.32%
4574.06
-0.24%
25-Nov-15
14.8
-3.27%
4568.01
-0.13%
26-Nov-15
14.9
0.68%
4573.75
0.13%
29-Nov-15
15.2
2.01%
4580.76
0.15%
30-Nov-15
15.5
1.97%
4581.00
0.01%
December
1-Dec-15
15.7
1.29%
4621.67
0.89%
2-Dec-15
15.9
1.27%
4619.51
-0.05%
3-Dec-15
15.6
-1.89%
4641.04
0.47%
6-Dec-15
15.4
-1.28%
4654.75
0.30%
7-Dec-15
15.3
-0.65%
4608.05
-1.00%
8-Dec-15
15.4
0.65%
4593.49
-0.32%
9-Dec-15
15
-2.60%
4587.38
-0.13%
10-Dec-15
15
0.00%
4583.42
-0.09%
13-Dec-15
15.1
0.67%
4542.73
-0.89%
14-Dec-15
15.4
1.99%
4533.91
-0.19%
15-Dec-15
14.7
-4.55%
4513.97
-0.44%
17-Dec-15
15.2
3.40%
4520.88
0.15%
20-Dec-15
15.5
1.97%
4511.54
-0.21%
21-Dec-15
15.9
2.58%
4578.88
1.49%
22-Dec-15
16.4
3.14%
4593.74
0.32%
23-Dec-15
17
3.66%
4588.75
-0.11%
24-Dec-15
17.4
2.35%
4608.32
0.43%
27-Dec-15
17.2
-1.15%
4602.52
-0.13%
28-Dec-15
17.3
0.58%
4592.33
-0.22%
29-Dec-15
16
-7.51%
4596.81
0.10%
30-Dec-15
17.1
6.88%
4604.92
0.18%
31-Dec-15
16.7
-2.34%
4629.64
0.54%

Analysis:
The market is gradually increasing in return percentage, but the share is not giving same amount of return. The beta is 0.57 which states the low volatility of risk. Which is 43% low volatile to market return.

Here we can see that the market is gradually increasing in return but the company share is not moving along with the market. The company share return is less responsive as the beta value resides below 1 and that implies the poor performance of the company share.
Here, I have also calculated beta for each month for the company as illustrated below.


This graph shows that the volatility of the company stock over the months is mostly below of beta 1. 

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