Event Study Market Model Calculator

Event Study and the Market Model Calculator

Event Study Market Model CalculatorEvent studies find wide application in research in the fields of finance, economics and law. In finance and economics research, event studies are employed to investigate the effects of announcements of events such as changes in regulations, shocks in the macroeconomic environment, or company initiatives on stock prices or firm value. Event studies may, for example, be used to investigate the effects of board reforms, compensation, workplace safety, changes in taxation, pandemics, dividends and repurchases, equity and debt issuance, or mergers and acquisitions on stock prices. In the field of law, event studies have been used to determine damages in legal liability cases. Have you been wondering where you can find event study help, market model help, or an event study market model calculator? If so you have probably landed in the right place.

Event studies in the field of finance and economics often involve calculating statistics such as stock or security returns, market returns, expected returns, Cumulative Abnormal Returns (CARs), Averaged Cumulative Abnormal Return (ACAR), Average Abnormal Returns (AAR) (alternatively called averaged abnormal returns), and Cumulative Average Abnormal Return (CAAR). Stock returns and market returns can be computed the simple way or with compounding. Calculating the aforementioned  characteristics or statistics can be made easier and faster with the help of an event study market model calculator.

In event study theory, the market model among other models are applied towards determining the expected return based on the efficient market hypothesis. The other models that are commonly used to determine the expected return include the mean adjusted return model, the market adjusted returns model, the market model with Scholes-Williams beta estimation, the market model with GARCH(1, 1) and EGARCH(1, 1) error estimation, the Fama-French 3 Factor Model, and the Fama-French-Momentum 4 Factor Model. The market model, which apparently is the most commonly used model, is sometimes referred to as the Risk-Adjusted Returns Model (since it takes into account market risk), the Ordinary Least Squares (OLS) market model (Fama et al., 1969), the classic market model, the usual market model, or the basic market model.

The market model suggests that the return on stock i at time t is solely influenced by the market return at time t. When using the market model, expected returns are predicted through an OLS regression analysis that regresses stock returns on market returns (usually returns on a market index) over a predetermined estimation window. The relationship between the stock and the reference or benchmark index that has been used in the analysis is described by two parameters derived from the regression analysis: alpha (α) and beta (β). Alpha and beta are computed using data relating to the estimation period.

The expected return, E(Rit|Xt), is predicted using the model:

𝑬(𝑹𝒊𝒕|𝑿𝒕 ) = 𝜶𝒊 + 𝜷𝒊(𝑹𝒎𝒕) +𝜺𝒊𝒕  

Where α and β are constants in the OLS regression model for i stock,

Rmt is the rate of return on the reference index (such as the FTSE 100, FTSE 250, FTSE All-Share, NYSE Composite (DJ), NYSE U.S. 100) on day t,

εit is the error term.

Calculate Expected returns, Abnormal returns, Cumulative Abnormal Returns  Easily and Other Event Study Statistics

When performing an event study that applies the market model, you will most likely need to compute stock returns or securities returns, expected returns (ERs), abnormal returns (ARs), Cumulative Abnormal Returns (CARs), Averaged Cumulative Abnormal Return (ACAR), Average Abnormal Returns (AAR) (alternatively called averaged abnormal returns), and Cumulative Average Abnormal Return (CAAR). Additionally, you will likely need to determine descriptive statistics such as means, standard deviations, medians, modes, minimums, and maximums for different characteristics (such as abnormal returns and cumulative abnormal returns). Computing these statistics can be boring, tedious, time consuming, and confusing especially when several firms/securities and long time periods are involved. However, an event study market model calculator makes computing these statistics easy, fast, and accurate. You can thus rely on an an event study market model calculator to compute expected returns, abnormal returns, cumulative abnormal returns and other event study statistics easily, fast, and reliably.

The event study market model calculator or simply, the market model calculator, is a Microsoft excel file that performs several functions and can thus provide invaluable event study help, market model help, and expected return help. It is designed to be a:

  • Market model calculator
  • Event study calculator
  • Stock returns calculator
  • Benchmark market returns calculator
  • Market model alpha and beta calculator
  • Expected returns calculator
  • Abnormal returns calculator
  • Cumulative abnormal returns calculator
  • Averaged cumulative abnormal returns calculator
  • Average abnormal returns calculator (Averaged abnormal returns calculator)
  • Cumulative average abnormal return calculator

The event study market model calculator can be used to compute the different statistics for a maximum of 100 companies/securities/stocks over several time periods (days/weeks/months) around the announcement. The calculator relies on the OLS market model to determine expected returns and abnormal returns. Specifically, it computes the following statistics:

  • Stock returns
  • Benchmark/reference/market returns
  • alpha and beta coefficients
  • Expected returns
  • Abnormal returns
  • Cumulative abnormal returns
  • Averaged cumulative abnormal returns
  • Average abnormal returns
  • Cumulative average abnormal return
  • Descriptive statistics such as standard deviations, medians, modes, minimums, maximums, and percentage of positive abnormal returns.

Two Calculators

Here are two event study market model calculators worth considering for use in your study.

  1. Event study market model calculator – Simple: This event study market model calculator computes returns using the simple formula.
  2. Event study market model calculator –  Compound:  This Event study market model calculates security and benchmark index returns using the logarithmic formula (Natural log). In other words returns are calculated with compounding. 

BMWP and ASPT Calculator

Where to find a BMWP and ASPT Calculator

Are you looking for a BMWP AND ASPT Calculator or a template for calculating BMWP and ASPT scores? Or, are you looking for an overall BMWP score calculator, a template for calculating Biological Monitoring Working Party score? Calculating BMWP and ASPT scores can be a challenge especially if you have a lot of data to work with and yet you need to calculate BMWP scores fast. However, with a template for calculating BMWP scores, you can calculate BMWP scores fast and easily. Likewise, with an ASPT score calculator, you can calculate ASPT scores fast and easily. Here is a BMWP score calculator and ASPT score calculator that you can use to calculate overall BMWP score and ASPT score for your sites or samples easily.

Download BMWP and ASPT Calculator

The calculator is a template in excel format that you have to download to use. After downloading the file, fill in the necessary information (such as the names of macroinvertebrate families, their corresponding tolerance or sensitivity scores, and the number of family members observed in a site or sample). Here are a few words that may be used to describe the template:

  • ASPT score calculate excel
  • ASPT score calculate template
  • Average Score Per Taxon score calculator
  • BMWP score calculate excel
  • BMWP score calculate template
  • Template for calculating ASPT score
  • Template for calculating Average Score Per Taxon score
  • Total BMWP score calculator

Download BMWP AND ASPT Calculator/Template

What are BMWP and ASPT Scores?

At this point, you may be wondering what is BMWP and what is ASPT? The Biological Monitoring Working Party (BMWP) and the Average Score Per Taxon (ASPT) are commonly used methods of assessing the quality of aquatic ecosystems. In simple terms, they are means of measuring the quality of water in a site or sample. Both BMWP and ASPT work on the principle that different aquatic invertebrates have different levels of tolerance or sensitivity to pollutants. The ASPT score for a site or sample is derived from BMWP score as you will see later on. BMWP specifically assumes that different aquatic invertebrates are sensitive to organic pollution to different levels.

BMWP AND ASPT Calculator

Organic pollution often leads to enrichment of the aquatic environment with nutrients, which in turn impacts the level of dissolved oxygen in water. Organisms which are highly sensitive or intolerant to pollution will easily die or migrate from polluted environments. Against this background, the BMWP system assigns scores to each macro invertebrate family/taxon based on how sensitive they are to organic pollution. As an example, the presence of stoneflies and mayflies, which are highly sensitive to pollutants, around a water body indicates that the water body is very clean. It is for this reason that these organism families are often assigned a high sensitivity or tolerance score (say 10.0). Invertebrates such as worms (Oligochaeta) which are less sensitive to pollution (or highly tolerant to pollution) are usually assigned a low score (say 1.0).

The BMWP system assumes that the higher the number of different macroinvertebrate families in a site, the better that quality of water therein. This assumption is based on the notion that water bodies with less pollutants attract even more “sensitive” species, which translates to a higher diversity. Different aquatic invertebrates are suited to different geographical location and ecological conditions. Against this reality, for the BMWP system to provide more accurate results, the BMWP or sensitivity score of each of the macroinvertebrate family/taxon should be calibrated to the specific geographical and ecological conditions where they are found.

How to calculate the BMWP and ASPT score

The (overall) BMWP score for a site or sample is computed by adding the sensitivity or tolerance scores of all the macroinvertebrate families/taxa in the site or sample. This is what the Biological Monitoring Working Party score calculator is designed to do. Generally, a higher (overall) BMWP score reflects better water quality. It is important to note that the BMWP score does not depend on the actual number of individual organisms that are members of a family observed in a location or sample but rather on the presence or absence of the family.

ASPT is calculated by dividing the Biological Monitoring Working Party (BMWP) score by the number of families/taxa represented in the aquatic ecosystem of the location being studied. Generally, a higher ASPT score reflects better water quality. The main difference between BMWP score and ASPT score is that the latter is not dependent on family richness.

ASPT score formula
ASPT score = BMWP score ÷ Number of macroinvertebrate families or taxa.

BMWP Score Calculation Example

In a site along river ABC, the following data was collected in a particular month. Compute the BMWP Score for the site. The sensitivity scores for the different macroinvertebrates usually found in the ABC river ecosystem are also provided in the table below.

Taxon/Family

Number of family members observed

Sensitivity Score

Ancylidae

2

5.6

Asellidae

3

2.1

Baetidae

12

5.3

Caenidae

0

7.1

Chironomidae

9

3.7

Chloroperlidae

5

12.4

Crangonyctidae

0

6

Dendrocoelidae

0

5

Dugesiidae

0

5

Dytiscidae

20

4.8

Elmidae

32

6.4

Ephemerellidae

0

7.7

Erpobdellidae

0

2.8

Gammaridae

80

4.5

Gerridae

0

4.7

Glossiphoniidae

2

3.1

Glossosomatidae

0

7

Goeridae

0

9.9

Heptageniidae

15

9.8

Hydrobiidae

85

3

Hydropsychidae

3

6.7

Hydroptilidae

0

6.7

Lepidostomatidae

5

10.4

Leptoceridae

20

7.8

Leuctridae

5

9.9

Rhyacophilidae

50

8.3

Sericostomatidae

0

9.2

Simuliidae

0

5.8

Sphaeriidae

20

3.6

Taeniopterygidae

0

10.8

Tipulidae

2

5.5

To determine the BMWP score, add the sensitivity scores for all the families that had at least one organism observed. In other words, exclude from the addition any family or taxa that had zero number of families observed (e.g. Caenidae, Crangonyctidae, and Dendrocoelidae). In the table below, the total in the sensitivity score column is the overall BMWP score, total BMWP score, or simply, BMWP score.

 

Taxon/Family

Number of family members observed

Sensitivity Score

1

Ancylidae

2

5.6

2

Asellidae

3

2.1

3

Baetidae

12

5.3

4

Chironomidae

9

3.7

5

Chloroperlidae

5

12.4

6

Dytiscidae

20

4.8

7

Elmidae

32

6.4

8

Gammaridae

80

4.5

9

Glossiphoniidae

2

3.1

10

Heptageniidae

15

9.8

11

Hydrobiidae

85

3

12

Hydropsychidae

3

6.7

13

Lepidostomatidae

5

10.4

14

Leptoceridae

20

7.8

15

Leuctridae

5

9.9

16

Rhyacophilidae

50

8.3

17

Sphaeriidae

20

3.6

18

Tipulidae

2

5.5

 

BMWP Score

 

112.9

ASPT Score Example
As previously noted, the formula for finding the ASPT score is: BMWP score/ Number of families represented.

The BMWP Score = 112.9
The number of families which were represented in the data are 18
The ASPT score = 112.9/18 = 6.27
How to interpret BMWP and ASPT scores.

Different studies and locations interpret the BMWP score using different keys. Here we present two commonly used keys.

KEY A

 

KEY B

BMWP Score

Category

 

BMWP Score

Category

Interpretation

<15

Very Bad

 

0-10

Very Poor

Heavily Polluted

15-35

Bad (Very Contaminated)

 

11-40

Poor

Polluted or Impacted

36-60

Bad (Contaminated)

 

41-70

Moderate

Moderately Impacted

61-100

Moderate

 

71-100

Good

Clean but slightly impacted

101-120

Good

 

>100

Very Good

Unpolluted/Unimpacted

>120

Excellent

 

 

 

 

 

 

 

 

 

 

ASPT Score

Category

 

ASPT Score

Category

 

0-3.6

Bad

 

0-3.6

Bad

 

3.6-4.2

Moderate

 

3.6-4.2

Moderate

 

4.3-4.7

Good

 

4.3-4.7

Good

 

4.8-5.4

Very Good

 

4.8-5.4

Very Good

 

>5.4

Excellent

 

>5.4

Excellent

 

Using Key A, based on the BMWP score, water quality in the site studied is “Good”. Using the same key, based on the ASPT score, water quality at the site is “Excellent”.

This BMWP score calculate template can help you perform such calculations fast and easily. Using the template, you can compute scores for a maximum of 30 individual locations or periods at once. Also, the template allows you to enter the names of up to 66 families at a time. In addition to computing the BMWP and ASPT scores, the template categorises the water quality of the site based on the scores found. Save time and effort by calculating BMWP and/or ASPT scores using the BMWP and ASPT Calculator. 

Download BMWP and ASPT Calculator

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