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September 2023 term · Financial Forensics · BSMS4003

Financial Forensics End Term: 24 December 2023, Set FDB1 (September 2023 term)

The IIT Madras BS Financial Forensics (Financial Forensics) End Term paper sat on 24 Dec 2023, in the September 2023 term, set FDB1: 42 questions for 40 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
42
Marks
40
Duration
180 min
Numerical
18
MCQ
24

Updated

Official paper: IIT M DEGREE FN EXAM FDB1 24 Dec 2023 · No negative marking.

Question 1

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Current Ratio

Show answer

Correct answer: 3.6

Question 2

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Quick Ratio

Show answer

Correct answer: 3

Question 3

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Inventory turnover ratio

Show answer

Correct answer: 2

Question 4

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Gross Profit Margin – Expressed in Ratio

Show answer

Correct answer: 0.5

Question 5

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Net profit margin – Expressed in Ratio

Show answer

Correct answer: 0.25

Question 6

+0.5 marksNumerical answer

Calculate the given financial ratios in the subquestions based on the following information provided:

A company has the following financial statements:

Balance sheet:

Assets
Cash and cash equivalents: $10 million
Accounts receivable: $5 million
Inventory: $3 million
Total assets: $18 million

Liabilities
Accounts payable: $2 million
Short-term debt: $3 million
Long-term debt: $5 million
Total liabilities: $10 million

Shareholder's equity: $8 million

Income statement:
Revenue: $12 million
Cost of goods sold: $6 million
Operating expenses: $3 million
Net income: $3 million

Debt to Capitalization Ratio – Expressed in Ratio

Show answer

Correct answer: 0.38 (accepted within ±0.02)

Question 7

+1 markOne correct option

Which of the following ratios can be considered when we are analysing the profitability of a company?

  1. A

    Equity Turnover

  2. B

    Current Ratio

  3. C

    Return on Equity

  4. D

    Days’ Cash

Show answer

Correct answer

  • C

    Return on Equity

Question 8

+2 marksNumerical answer

You have devised a 10 year retirement plan whereby you pay your subscribers 1000$ per annual for the first 5 years, and then 8000$ for the next 5 years. Assuming a discount rate of 6% for the first 5 years and 8% for the next 5 years, what should be the minimum price at which you have to sell the plan so that you don't incur any loss?
**NOTE:**Round to two decimal places wherever necessary

Show answer

Correct answer: 28081 (accepted within ±81)

Question 9

+1 markNumerical answer

Suppose the risk free rate in the market is 4%, the expected market return is 8% and the beta of the stock is 1.3, at what rate the expected return of a stock changes with respect to the market premium?

Show answer

Correct answer: 1.3

Question 10

+1 markNumerical answer

Holmes, Inc., is a 90% equity and 10% debt financed firm. The unlevered beta is 0.60, the market risk premium is 6.67 percent, and the risk-free rate is 3.30 percent. What is the expected rate of return on this stock? Consider the tax rate as 30%. Express your answer as a fraction. **NOTE:**Round to two decimal places wherever necessary

Show answer

Correct answer: 0.075 (accepted within ±0.005)

Question 11

+1 markOne correct option

A company has built a ML-Based Fraud detection system and was testing it out in the test environment. During the experiment that they conducted for 15 transactions the following was observed:

Txn No.ML System's PredictionGround Truth
1Non-FraudNon-Fraud
2Non-FraudNon-Fraud
3FraudFraud
4Non-FraudFraud
5Non-FraudNon-Fraud
6Non-FraudNon-Fraud
7Non-FraudFraud
8FraudFraud
9Non-FraudNon-Fraud
10Non-FraudNon-Fraud
11Non-FraudNon-Fraud
12Non-FraudNon-Fraud
13FraudFraud
14Non-FraudNon-Fraud
15Non-FraudNon-Fraud

Based on the above table which of the following statement is correct (consider the positive class as Fraud and negative class as Non-Fraud).

  1. A

    The system performs with a recall of 100%

  2. B

    The system performs with a precision of 100%

  3. C

    The system has 0 False Negatives

  4. D

    The system was calibrated to makes sure that it absolutely blocks all fraudulent transactions.

Show answer

Correct answer

  • B

    The system performs with a precision of 100%

Question 12

+1 markOne correct option

The following are the number of payments attempts on a regular day that a fintech giant is seeing in its platform. You are hired as a data scientist to find the pattern in the payment attempts and you decide to perform a MLE with a gaussian distribution as an assumption. Which of these correctly represents the parameters of the normal distribution based on MLE for the given data: # Daily Payment Attempts = 100, 145, 120, 250, 124, 364, 124, 237, 365, 143

  1. A

    mu = 95.18; sigma = 12.6

  2. B

    mu = 14.5; sigma = 7.51

  3. C

    mu = 197.2; sigma = 101.18

  4. D

    mu = 180.5; sigma = 10237.5

Show answer

Correct answer

  • C

    mu = 197.2; sigma = 101.18

Question 13

+1 markOne correct option

Which of the following is not True about using rules for Fraud Detection in the world of FinTech:

  1. A

    Rules can only be used for catching frauds that satisfy a set of per-computed scenarios.

  2. B

    Rules can adapt very well to the changing fraud environment automatically.

  3. C

    Creating rules for detecting frauds is a very time-consuming process.

  4. D

    Rules do not scale well to capture wide range of fraud patterns.

Show answer

Correct answer

  • B

    Rules can adapt very well to the changing fraud environment automatically.

Question 14

+1 markOne correct option

Which of the following statement(s) is/are correct about isolation forest:
I. Isolation Forest is a tree based algorithm, so it is a supervised learning model.
II. In Isolation Forest the data points that are easy to separate from the population are more likely to be anomalous.
III. Isolation Forest can be used only for fraud detection.
IV. Isolation Forest can be used only when the type of Fraud is known before building the ML system.

  1. A

    Statements I and II

  2. B

    Statements II, III and IV

  3. C

    Only statement IV

  4. D

    Only statement II

  5. E

    Statements I and IV

Show answer

Correct answer

  • D

    Only statement II

Question 15

+1 markOne correct option

When we do anomaly detection, a Univariate Gaussian distribution is a good choice for representing two features that are positively correlated?

  1. A

    True, since Univariate Gaussian distribution captures the interaction between variables well

  2. B

    False, since Univariate Gaussian distribution can only be used when the features are negatively correlated

  3. C

    True, since Univariate Gaussian distribution has a support from -Inf to +Inf

  4. D

    False, since Univariate Gaussian distribution can only be used when the features are not correlated

Show answer

Correct answer

  • D

    False, since Univariate Gaussian distribution can only be used when the features are not correlated

Question 16

+1 markOne correct option

X is a characteristic of a time series in which the data experiences regular and predictable changes that recur at an irregular interval of time. What is X?

  1. A

    Cyclicity

  2. B

    Seasonality

  3. C

    Trend

  4. D

    Variance

Show answer

Correct answer

  • A

    Cyclicity

Question 17

+1 markNumerical answer

Given an AR(3) model with autoregressive coefficients of 0.6, 0.2 and -0.1 and initial values at t=0, t=1 and t=2 being 8, 10 and 12, respectively. Calculate the predicted value at t = 3.

Show answer

Correct answer: 8.4

Question 18

+1 markOne correct option

Which of the following is/are example(s) of a autocorrelation process:

  1. A

    Temperatures on consecutive days

  2. B

    Traffic flow on an hourly basis

  3. C

    Daily footfall in a shopping centre

  4. D

    All of these

Show answer

Correct answer

  • D

    All of these

Question 19

+1 markOne correct option

Which of the following can be solved by the differencing technique in time series analysis?

  1. A

    To remove trend

  2. B

    To remove seasonality

  3. C

    To remove correlation

  4. D

    Both To remove trend and To remove seasonality

Show answer

Correct answer

  • D

    Both To remove trend and To remove seasonality

Question 20

+1 markNumerical answer

Considering the following data answer the given subquestions:
The Hosmer Company had June sales of $275,000.
The cost of goods sold was $164,000
Other cash expenses were:
Rent $ 3,300
Taxes $ 1,375
Salaries $ 27,400
Other $ 50,240

What were the company Revenues?

Show answer

Correct answer: 275000

Question 21

+1 markNumerical answer

Considering the following data answer the given subquestions:
The Hosmer Company had June sales of $275,000.
The cost of goods sold was $164,000
Other cash expenses were:
Rent $ 3,300
Taxes $ 1,375
Salaries $ 27,400
Other $ 50,240

What were the company Expenses?

Show answer

Correct answer: 246315

Question 22

+1 markNumerical answer

Considering the following data answer the given subquestions:
The Hosmer Company had June sales of $275,000.
The cost of goods sold was $164,000
Other cash expenses were:
Rent $ 3,300
Taxes $ 1,375
Salaries $ 27,400
Other $ 50,240

What were the company Net income in June?

Show answer

Correct answer: 28685

Question 23

+1 markNumerical answer

Prepare a balance sheet as of today by assigning the following entries to right headers (Asset, Liability/Equity, Income, Expense) for the J. L. Gregory Company, using the following data

  • Accounts payable $ 241,000
  • Cash Balance $ 89,000
  • Accounts receivable $ 505,000
  • Equipment (at cost) $ 761,000
  • Prepaid expenses $ 107,000
  • Estimated tax liability $ 125,000.
  • Buildings (at cost) $ 1,120,000
  • Inventories $ 513,000
  • Investment in the Peerless Company $ 320,000
  • Land (at cost) $ 230,000
  • Bonds payable $ 700,000
  • Marketable securities $ 379,000
  • Equity $ 1,000,000
  • Accumulated depreciation on buildings $ 538,000
  • Accumulated depreciation on equipment $ 386,000

Based on the above data, answer the given subquestions.

The income in the income statement is? (Hint: Balance Sheet should Balance):

Show answer

Correct answer: 2882000

Question 24

+1 markNumerical answer

Prepare a balance sheet as of today by assigning the following entries to right headers (Asset, Liability/Equity, Income, Expense) for the J. L. Gregory Company, using the following data

  • Accounts payable $ 241,000
  • Cash Balance $ 89,000
  • Accounts receivable $ 505,000
  • Equipment (at cost) $ 761,000
  • Prepaid expenses $ 107,000
  • Estimated tax liability $ 125,000.
  • Buildings (at cost) $ 1,120,000
  • Inventories $ 513,000
  • Investment in the Peerless Company $ 320,000
  • Land (at cost) $ 230,000
  • Bonds payable $ 700,000
  • Marketable securities $ 379,000
  • Equity $ 1,000,000
  • Accumulated depreciation on buildings $ 538,000
  • Accumulated depreciation on equipment $ 386,000

Based on the above data, answer the given subquestions.

As it is “The Balanced Sheet”, the Retained Earnings equal _____

Show answer

Correct answer: 1958000

Question 25

+1 markNumerical answer

D. Carson and F. Leggatt formed a partnership on June 1 to operate a shoe store. Carson contributed $50,000 cash and Leggatt contributed $50,000 worth of shoe inventory. During the month of June, the following transactions took place:
1. Additional shoe inventory was purchased at a cost of $24,000 cash.
2. Total cash sales for the month were $31,000. The inventory that was sold had a cost of $15,500. 3. Carson withdrew $6,200 of cash drawings. Leggatt withdrew only $3,700 of cash drawings. 4. The partnership borrowed $50,000 from the Third National Bank.
5. Land and a building were purchased at a cash cost of $25,000 and $50,000,
Based on the given information answer the subquestions.

Cash inflow is ___ ?

Show answer

Correct answer: 131000

Question 26

+1 markNumerical answer

D. Carson and F. Leggatt formed a partnership on June 1 to operate a shoe store. Carson contributed $50,000 cash and Leggatt contributed $50,000 worth of shoe inventory. During the month of June, the following transactions took place:
1. Additional shoe inventory was purchased at a cost of $24,000 cash.
2. Total cash sales for the month were $31,000. The inventory that was sold had a cost of $15,500. 3. Carson withdrew $6,200 of cash drawings. Leggatt withdrew only $3,700 of cash drawings. 4. The partnership borrowed $50,000 from the Third National Bank.
5. Land and a building were purchased at a cash cost of $25,000 and $50,000,
Based on the given information answer the subquestions.

Cash outflow is ___?

Show answer

Correct answer: 108900

Question 27

+1 markNumerical answer

D. Carson and F. Leggatt formed a partnership on June 1 to operate a shoe store. Carson contributed $50,000 cash and Leggatt contributed $50,000 worth of shoe inventory. During the month of June, the following transactions took place:
1. Additional shoe inventory was purchased at a cost of $24,000 cash.
2. Total cash sales for the month were $31,000. The inventory that was sold had a cost of $15,500. 3. Carson withdrew $6,200 of cash drawings. Leggatt withdrew only $3,700 of cash drawings. 4. The partnership borrowed $50,000 from the Third National Bank.
5. Land and a building were purchased at a cash cost of $25,000 and $50,000,
Based on the given information answer the subquestions.

How much is the total profit/loss?

Show answer

Correct answer: 15500

Question 28

+1 markOne correct option

What is the formula for calculating shareholder's equity on a balance sheet?

  1. A

    Total assets - Total liabilities

  2. B

    Total liabilities - Total assets

  3. C

    Total assets + Total liabilities

  4. D

    Total liabilities / Total assets

Show answer

Correct answer

  • A

    Total assets - Total liabilities

Question 29

+1 markOne correct option

In the cash flow statement if the company invests more in fixed assets and short term financial investments, it would result to:

  1. A

    decreased cash

  2. B

    increased cash

  3. C

    increased equity

  4. D

    increased liability

Show answer

Correct answer

  • A

    decreased cash

Question 30

+1 markOne correct option

You have the following 2 documents with the text:
D1 = Lets change the logo of the company.
D2 = The investors don’t like if the logo of the company is changed as logo plays a key role in brand recognition
The Term Frequency (TF) for the word “company” for D1 and D2 is :

  1. A

    2

  2. B

    3

  3. C

    1

  4. D

    0

Show answer

Correct answer

  • A

    2

Question 31

+1 markOne correct option

You had converted two words to a vectors having following values:
A = [2,1,4,2,8]
B = [3,4,3,5,5]
The cosine similarity between them is:

  1. A

    0.833

  2. B

    0.962

  3. C

    0.915

  4. D

    0.893

Show answer

Correct answer

  • A

    0.833

Question 32

+1 markOne correct option

What is the KS of the below table?

BinMinMaxTotal VolumePositive VolumeNegative VolumeCumulative PositiveCumulative Negative
1185.30232.12269602696100.00%100.00%
2232.13243.30269522693100.00%94.94%
3243.31251.4326964269299.70%89.88%
4251.43258.8226957268899.10%84.82%
5258.82265.5326953269298.05%79.77%
6265.53271.6226963269397.61%74.72%
7271.62277.8426952269397.16%69.66%
8277.84283.8326958268796.86%64.60%
9283.83289.7526969268795.66%59.55%
10289.75295.7826959268694.31%54.51%
11295.78302.08269514268192.96%49.46%
12302.08308.3726969268790.87%44.43%
13308.37314.99269516267989.52%39.38%
14314.99322.42269520267587.13%34.35%
15322.42330.13269623267384.13%29.32%
16330.13338.44269531266480.69%24.30%
17338.44348.66269527266876.05%19.30%
18348.66361.32269655264172.01%14.29%
19361.33381.21269562263363.77%9.33%
20381.23670.522696364233254.49%4.38%
  1. A

    57.72

  2. B

    36.45

  3. C

    54.49

  4. D

    90.87

Show answer

Correct answer

  • A

    57.72

Question 33

+1 markOne correct option

What is the capture rate of Positives at the top 15% from the below gains table?

BinMinMaxTotal VolumePositive VolumeNegative VolumeCumulative PositiveCumulative Negative
1185.30232.12269602696100.00%100.00%
2232.13243.30269522693100.00%94.94%
3243.31251.4326964269299.70%89.88%
4251.43258.8226957268899.10%84.82%
5258.82265.5326953269298.05%79.77%
6265.53271.6226963269397.61%74.72%
7271.62277.8426952269397.16%69.66%
8277.84283.8326958268796.86%64.60%
9283.83289.7526969268795.66%59.55%
10289.75295.7826959268694.31%54.51%
11295.78302.08269514268192.96%49.46%
12302.08308.3726969268790.87%44.43%
13308.37314.99269516267989.52%39.38%
14314.99322.42269520267587.13%34.35%
15322.42330.13269623267384.13%29.32%
16330.13338.44269531266480.69%24.30%
17338.44348.66269527266876.05%19.30%
18348.66361.32269655264172.01%14.29%
19361.33381.21269562263363.77%9.33%
20381.23670.522696364233254.49%4.38%
  1. A

    99.70%

  2. B

    72.01%

  3. C

    63.77%

  4. D

    84.13%

Show answer

Correct answer

  • B

    72.01%

Question 34

+1 markOne correct option

What is the rollback rate for 30-59 DPD after 18 MOB?

Delinquency (After 12 MOB \ After 18 MOB)No Due0-29 DPD30-59 DPD60-89 DPD90-119 DPD120-149 DPD150+ DPDTotal
No Due880006680400026801360880400104000
0-29 DPD36400536026801360136068040048240
30-59 DPD153604000268056040016096024120
60-89 DPD4560400013602801360108068013320
90-119 DPD2680680400160560268013608520
120-149 DPD40016016012012068016003240
150+ DPD8056443612828003036
  1. A

    80.27%

  2. B

    75.46%

  3. C

    74.47%

  4. D

    46.01%

  5. E

    29.63%

Show answer

Correct answer

  • A

    80.27%

Question 35

+1 markOne correct option

“is” became “be”. This is an example of which of the following?

  1. A

    Tokenization

  2. B

    Stop word removal

  3. C

    Stemming

  4. D

    Lemmatization

Show answer

Correct answer

  • D

    Lemmatization

Question 36

+1 markOne correct option

Input – I love to read novels, especially those with intricate plots and well-developed characters. Output – love read novels, especially those intricate plots well-developed characters.
Which of the following pre-processing to input results in this output?

  1. A

    Stopword removal

  2. B

    Tokenisation

  3. C

    Stemming

  4. D

    Lemmatization

  5. E

    None of these

Show answer

Correct answer

  • A

    Stopword removal

Question 37

+1 markOne correct option

As given in the confusion matrix of the classifier in Table 1, a bank provides loan to 300 prospects from a database. Selection of an actual good customer leads to an average profit of ₹12,000. Due to misclassification, if a bad applicant is selected for loan, an average loss of ₹40,000 will be incurred. Based on the data given in the confusion matrix (Table 1), what is the additional profit bank could have earned by giving loans to declined good customers?

  1. A

    22,44,000

  2. B

    12,40,000

  3. C

    -2,76,000

  4. D

    -7,60,000

  5. E

    7,56,000

Show answer

Correct answer

  • E

    7,56,000

Question 38

+1 markOne correct option

Which of the following is an example of global interpretability in model explainability?

  1. A

    Feature importance for a specific prediction

  2. B

    Understanding the overall behavior of a model across all data

  3. C

    Analyzing the impact of a single feature on predictions

  4. D

    Examining the local decision boundary of a model

Show answer

Correct answer

  • B

    Understanding the overall behavior of a model across all data

Question 39

+1 markOne correct option

In the following waterfall plot, identify the base value (explainer expected value):

  1. A

    -0.01

  2. B

    0.927

  3. C

    +16.85

  4. D

    58.767

Show answer

Correct answer

  • B

    0.927

Question 40

+1 markOne correct option

In SHAP values, what does a positive value for a feature indicate?

  1. A

    The feature has a positive impact on the prediction

  2. B

    The feature has no impact on the prediction

  3. C

    The feature has a negative impact on the prediction

  4. D

    The feature is not considered in the analysis

Show answer

Correct answer

  • A

    The feature has a positive impact on the prediction

Question 41

+1 markOne correct option

What is the main advantage of using SHAP over other feature importance techniques?

  1. A

    SHAP is faster in computation

  2. B

    SHAP provides both global and local explanations

  3. C

    SHAP values are always positive, making interpretation easier

  4. D

    SHAP works only with linear models

Show answer

Correct answer

  • B

    SHAP provides both global and local explanations

Question 42

+1 markOne correct option

What is the fundamental concept behind SHAPley values in the context of machine learning model interpretation?

  1. A

    Feature importance based on model coefficients

  2. B

    Distribution of feature values across instances

  3. C

    Fair allocation of contribution to each feature in a prediction

  4. D

    Random sampling of instances for explanation

Show answer

Correct answer

  • C

    Fair allocation of contribution to each feature in a prediction