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Understanding Simple Linear Regression: R-squared, Slope, and Conditions

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Write an interpretation of r^2 using the template in the Activity 2.1 Readings. We will do this one as a class.

Template: The proportion of the variation in the Y variable that is explained by the SLR model with the X variable is r^2.

For slope : Template: As x var increases by 1 unit, we predict y var  will increase/dec  by ____  y var units.

For y-intercept: When x var = 0 units, we predict that the y var  will be ____ units..

For SLR: Error = epsilon = y - yhat = y - (betahat0 + betahat1x)

SSE = residual1^2 + res. 2^2 +…+ res.  n^2 AD_4nXdgexHFktdBh3CFf6Ipr3g0Dvmpby1nEeB2kf4m3BPlVZyVmpXy0M3wvv_abbUEw0FmvELgZ4sk8s6J4Iz5loc0vp-F8fhOq9FiXmgdgpWxRvt0Y4-osnlgACEA0r4voQ32JZKQDqgWqqZ8QAv1u5nrCAGl?key=sPl0wRYNdDvyOslUfU3rFg

Standard error of regression = Root MSE (in SAS language)

The text lists six conditions for simple linear... Continue reading "Understanding Simple Linear Regression: R-squared, Slope, and Conditions" »

Financial Budgeting: Principles and Model Development

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Key Principles of Financial Budgeting

Entity Principle

Consider the company as a functional entity.

Leadership Principle

The Financial Planning Manager develops and coordinates the budget.

Authority Principle

The Finance Manager supervises and presents the budget to the Board of Directors (Partners).

Participation Principle

Involve all key participants in the budget's preparation.

Commitment Principle

All managers undertake to follow the budget, notifying any deviation in a timely manner.

Goal Principle

The budget is based on the strategic planning objectives.

Accounting Principle

A budget system should mirror the current accounting system.

Measurement Principle

All estimates must be in currency units.

Predictability Principle

The predictions generated must... Continue reading "Financial Budgeting: Principles and Model Development" »

Financial Accounting: Leases & Credit Facilities

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Lease Accounting: Vehicle Leases and Journal Entries

Today is May 31, X1, and we lease three vehicles to visit our factories for €120,000. The contractual conditions are as follows:

  • The term of the lease is 4 years.
  • The payments (€35,000 each) are annual and will be made on May 31. An additional €1,000 will be added as a purchase option in the final payment.
  • Effective interest rate: 6.75%
  • The estimated useful life for each vehicle is 8 years.

Lease Amortization Schedule

PeriodInterest (€)Payment (€)Amortized Principal (€)Amortized Cost (€)
May 31, X1120,000.00
May 31, X28,097.6435,000.0026,902.3693,097.64
May 31, X36,282.2635,000.0028,717.7464,379.90

Journal Entries for Lease Transactions

May 31, X1: Initial Lease Recognition

CodeDebit (€)
... Continue reading "Financial Accounting: Leases & Credit Facilities" »

Foundations of Data Analytics, Databases, and Statistics

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Introduction to Data Analytics

Types of Data Analytics

  • Descriptive: Analyzes past trends.
  • Predictive: Applies past trends to current data to understand the future.
  • Prescriptive: Suggests actions and outlines potential impacts.

Project Stages

  1. Problem Specification:
    1. Understand the Problem Statement.
    2. Define the Project Scope.
  2. Data Gathering & Preprocessing:
    1. Define a system for data collection.
    2. Clean data with data processing.
  3. Descriptive Analytics:
    1. Perform Exploratory Data Analysis (EDA).
    2. Get a basic understanding of the dataset.
    3. Answer initial assumptions about the data.
  4. Machine Learning:
    1. Apply correct ML models depending on the scope/nature of the data and project.
    2. Train the ML model to assess its performance.
  5. Deployment:
    1. Consult with project stakeholders on
... Continue reading "Foundations of Data Analytics, Databases, and Statistics" »

Essential Algebra and Geometry Formulas Reference Sheet

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📄 Maths Cheat Sheet – Page 1 (Equations & Linear Relationships)

🟦 Equations

  • 1-step:

    X+to=b⇒x=b-to,tox=b⇒x=b/tox + a = b \Rightarrow x = ba, \quad ax = b \Rightarrow x = b/ax+to=b⇒x=b-to ,to x=b⇒x=b / a
  • 2-step:

    Tox+b=c⇒x=(c-b)/toax + b = c \Rightarrow x = (cb)/ato x+b=c⇒x=( c-b ) / a
  • Brackets:

    • Expand:to(b+c)=tob+toca(b+c) = ab + aca ( b+c )=ab+a c

    • Factorise:tob+toc=to(b+c)ab + ac = a(b+c)ab+a c=a ( b+c )

  • Fractions: Clear denominators first

  • Check: Substitute back

Worked Example (Rectangle):

  • l=w+3, P=14l = w+3, \, P=14l=w+3 ,P=14

2((w+3)+w)=14⇒4w+6=14⇒w=2⇒l=52((w+3)+w)=14 \Rightarrow 4w+6=14 \Rightarrow w=2 \Rightarrow l=52 (( w+3 )+w )=14⇒4 w+6=14⇒w=2⇒l=5

🟩 Linear Relationships

  • Equation of a line: and=mx+cy=mx+cand=

... Continue reading "Essential Algebra and Geometry Formulas Reference Sheet" »

Consider the following bond issues: Bond A: 5% 15-year bond Bond B: 5% 30-year bond Neither bond has an embedded option. Both bonds are trading in the market at the same yield. Which bond will fluctuate more in price when interest rates change? Why

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Residual claim: shareholders get only what is left-over after everyone has been paid. Discount rate: the rate at which present and future values are traded off. Future value of cash flow: C x (1+ r)^n. R= (FV/PV)^1/n - 1. Present value= C/(1+ r)^n. Compound interest: exponential growth in wealth, initial amount of money + the interest that has been added the previous years. Perpetuity, Growing Perpetuity, Annuity: multiple payments overtime, same amount, regular interest. NsiVhHlHiJkAAAAASUVORK5CYII=ARZztg+LFFEoAAAAAElFTkSuQmCCNPV: the difference between and investment's value and its cost. Positive NPV=investment yes; NPV=0 project earns the required rate. 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 . IRR measures the average return on the investment: accept project if IRR is greater than the discount rate(minimum return you want). LJpYK4NR1Bwor62WY+31yZkAl6ZXI7ayvjwDbiQCbo24jxWbMZByqTA5mgVya3s7YyDmwjDvwLNZ4w3mHp5DcAAAAASUVORK5CYII=Payback

... Continue reading "Consider the following bond issues: Bond A: 5% 15-year bond Bond B: 5% 30-year bond Neither bond has an embedded option. Both bonds are trading in the market at the same yield. Which bond will fluctuate more in price when interest rates change? Why" »

Core Statistical Concepts and Methods

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Statistical Goals

  • Describe: Explain what's happening in the data (e.g., mean, mode, average, minimum, variation).
  • Explore: Understand how different variables relate to each other.
  • Draw Inference: Test hypotheses or theories to make generalizations. Important: Correlation doesn't equal causation.
  • Predict: Forecast future outcomes (e.g., weather networks).
  • Draw Causal Inference: Determine cause-and-effect relationships, which requires experiments.

Variables in Statistics

Variable Types

  1. Categorical (e.g., color, name, religion) vs. Numerical (Discrete: whole numbers OR Continuous: decimals, e.g., movie ranking).
    • Nominal: Categories with no inherent order.
    • Ordinal: Categories with a meaningful order.
    • Interval: Ordered, equal intervals, but zero is arbitrary
... Continue reading "Core Statistical Concepts and Methods" »

Capital Budgeting: Calculating Cash Flows and Valuation Metrics

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Investment Analysis II: Key Cash Flow Components

Financial leverage is debt. "Unleveraged" Free Cash Flow (FCF) means we calculate FCF without regard to how the firm is financed. Ultimately, we are valuing the assets of the project. We achieve this by estimating how much cash is generated by the asset side of the balance sheet.

Capital Expenditure (CAPEX)

Capital Expenditure (CAPEX) is defined as the original cost of investment in property, plant, or equipment and other long-term assets.

Formula for CAPEX

NET PPE (current) - NET PPE (prior) + Depreciation

Depreciation and Asset Valuation

Depreciation: Depreciation charges are intended to represent the cost of wear and tear over the asset's life. The Straight-Line Depreciation method divides the asset’s... Continue reading "Capital Budgeting: Calculating Cash Flows and Valuation Metrics" »

Essential Business Tax Rules: Deductions, Depreciation, and Accounting Methods

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Gross Income and Business Deductions

Gross Income: Includes revenue from sales, services, rents, dividends, interest, etc. Exclusions include life insurance proceeds and municipal bond interest. Expenses associated with the production of tax-exempt income are not deductible.

Deductions Above the Line (for AGI)

Deductions for Adjusted Gross Income (AGI) include business expenses, rental expenses, self-employed health insurance, and IRA contributions.

  • Ordinary & Necessary Test: An expense must be customary and appropriate for the business.
  • Meals Deduction: Can deduct 50% of meals if the expense is ordinary, necessary, and reasonable, the employee is present, the person eating is a current or potential client, and the meal is purchased separately
... Continue reading "Essential Business Tax Rules: Deductions, Depreciation, and Accounting Methods" »

SAP S/4HANA Cash Management Capabilities

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SAP S/4HANA Financial and Treasury Functions

The following table details various aspects, components, and features related to SAP S/4HANA, particularly focusing on Cash Management and Treasury functions.

S/4HANAIt provides real-time visibility into cash positions.
S/4HANAEnsuring sufficient funds to meet obligations.
S/4HANA CASHManages day-to-day cash activities.
S/4HANA CASHHandles Physical cash management aspects.
S/4HANA ComponentIncludes the Payment Run functionality.
S/4HANA ComponentSupports Risk Analysis.
S/4HANA FalseIt is primarily used for long-term financial planning (Note: This description seems contradictory to typical S/4HANA Cash Management focus, which is real-time).
S/4HANA FeatureManagement of Bank Account Master Data.
S/4HANA FeatureSupports
... Continue reading "SAP S/4HANA Cash Management Capabilities" »