Financial Mathematics — Chapter Summary
CBSE · Class 12 · Applied Mathematics
Summary of Financial Mathematics for CBSE Class 12 Applied Mathematics. Part of the CBSE Class 12 Applied Mathematics syllabus.
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Overview
Financial Mathematics is a crucial area of Applied Mathematics that deals with the application of mathematical methods to solve financial problems. This chapter covers essential topics that are fundamental to understanding various financial concepts such as perpetuity, bonds, loans, investments, and
Key Concepts
A perpetuity is an annuity where
A perpetuity is an annuity where payments continue forever. The present value of a perpetuity of ₹R payable at the end of each period is P = R/i, wher
A fund established by setting aside
A fund established by setting aside revenue over time to fund future capital expenses or debt repayment. The periodic payment required is R = A/S(n|i)
The process of determining the fair
The process of determining the fair price of a bond using present value approach. Bond Value = R[1-(1+i)^(-n)]/i + C(1+i)^(-n), where R is periodic in
Two methods exist
Two methods exist: Flat Rate Method where EMI = (P+I)/n, and Reducing Balance Method where R = P(i)/[1-(1+i)^(-n)]. The reducing balance method is mor
Nominal rate is the stated interest
Nominal rate is the stated interest rate, while effective rate is the actual rate considering compounding. The relationship is r(eff) = (1 + r/m)^m -
Learning Objectives
- Understand and calculate perpetuity and sinking funds
- Learn bond valuation using present value approach
- Master EMI calculations using flat-rate and reducing-balance methods
- Calculate effective and nominal rates of return
- Understand and compute Compound Annual Growth Rate (CAGR)
Frequently Asked Questions
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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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Formula Sheet
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Syllabus
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