Financial Mathematics — Revision Notes
CBSE · Class 12 · Applied Mathematics
Financial Mathematics revision notes for CBSE Class 12 Applied Mathematics: 4 topics in quick points. Includes Perpetuity and Sinking Funds, Valuation.
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Key Topics to Revise
Perpetuity and Sinking Funds
- Perpetuity is an annuity where payments continue forever
- Present value of perpetuity = R/i (payments at end) or R + R/i (payments at beginning)
- Sinking fund accumulates money for future specific financial obligations
Valuation of Bonds
- Bond value equals present value of all future cash flows
- Cash flows include periodic interest payments and redemption value
- Face value is original issue price; market value fluctuates
EMI and Loan Amortization
- EMI stands for Equated Monthly Installment
- Two methods: Flat Rate Method and Reducing Balance Method
- Flat rate calculates interest on original principal throughout
Rates of Return and CAGR
- Nominal rate is stated/announced interest rate
- Effective rate is actual rate considering compounding frequency
- More frequent compounding increases effective rate
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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