Applied Mathematics + Finance and Banking
Study the mathematics of loans and EMIs
Derive the EMI formula from a geometric series and build a full repayment schedule.
- DifficultyIntermediate
- Estimated time2–7 days
- Budget₹0
- ClassClass 11 to college
- TeamSolo or up to 2
- You needComputer only
Prerequisites: None beyond your class work
Original · by TechnifyedData AnalysisFinance ProjectFree to doComputer onlyResearch orientedTwo subjects
Overview
Derive the EMI formula from a geometric series and build a full repayment schedule.
Skills you will use
Materials and tools
- Spreadsheet
- Current loan interest rates
Tools and software
Step-by-step roadmap
Start
You will finish with: a working EMI calculator and three insights for a borrower.
- 1
Prerequisites
Nothing special to know first. Then collect the 2 items in the materials list.
- 2
Learn
Read up on financial mathematics: amortisation, EMI, geometric series. Your textbook chapter and one short video are enough.
- 3
Plan
Write the research question, who or what you will study, how many, and the exact questions or measures.
- 4
Build
- Derive the EMI formula.
- Build a schedule showing interest and principal each month.
- Chart how the split changes over time.
- Compare 5, 10 and 20-year loans.
- Show the effect of one extra payment a year.
- 5
Test
Check a sample of your data by hand, and ask whether another explanation fits your findings equally well.
- 6
Document
Keep the raw responses or data safe, anonymise names, and build the tables and charts. Report structure
- 7
Present
State the question, the method in one line, the two or three main findings and their limits. Presentation structure
- 8
Publish
Share a short paper or poster; offer a summary to the people who took part.
Expected outcome
A working EMI calculator and three insights for a borrower.
Other versions of this project
Advanced version
Model a floating rate that changes mid-loan.
Research mode
Text marked "You write this" is a prompt for your own work; everything else is specific to this project.
- Research question
- You write thisOne question you can answer with data, narrow enough to finish in the time you have.
- Hypothesis
- You write thisWhat you expect to find, and why.
- Variables
- You write thisWhat you change or compare, what you measure, and what you hold constant.
- Methodology
- You write thisDescribe the method in enough detail that someone else could repeat it: sample, tools, procedure.
- Data collection
- You write thisSay what you will record, how many times, and how you will keep the records safe.
- Analysis
- You write thisChoose the table, chart or test that answers the question; report averages with their spread.
- Limitations
- You write thisList what could have affected the result: small sample, instrument limits, things you could not control.
Literature review
Find five to eight sources (your textbook, review articles, reports) and note what each says about your question. Group them by idea, not one after another, and end with what is still not known.
References
List every source you used in one style throughout (author, year, title, where it was published, link and the date you opened it).
Working as a team
Solo or up to 2. Suggested roles:
Report and presentation
Report structure
- Title
- Abstract
- Introduction and research question
- Review of what is already known
- Method: sample, tools, procedure
- Findings (tables and charts)
- Discussion
- Limitations
- Conclusion and suggestions
- References
- Annexure: questionnaire or data
Presentation structure
- Research question
- Why it matters
- Method and sample
- Finding 1
- Finding 2
- Finding 3
- What it means
- Limitations
- Conclusion
Viva questions
Prepare your own answers to these before you present.
- What is the aim of your project, in one sentence?
- What is the principle behind it?
- Why did you choose these materials or tools?
- What result did you get, and was it what you expected?
- What went wrong and how did you fix it?
- How could this be improved or used in real life?
Resources
Decision making with spreadsheetIIT Roorkee · Free course course
33 Spreadsheet Projects Course for Beginners – Excel and Google SheetsfreeCodeCamp · Free video course
Analyzing Spreadsheet Data with PythonIBM · Free course courseLibreOfficelibreoffice.orgGeoGebrageogebra.orgDesmos graphing calculatordesmos.comSource and attribution
Original
Written by Technifyed. Free to use for your own school or college project; write the report in your own words. Added 1 Oct 2026.
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