Business Mathematics, Logical Reasoning and Statistics
Permutations and Combinations
5% weightage

Annuities

Complete study guide with 4 practice questions, detailed explanations, and expert solutions for Annuities in CA Foundation Business Mathematics, Logical Reasoning and Statistics.

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Study Notes: Annuities

Free study material for CA Foundation Business Mathematics, Logical Reasoning and StatisticsPermutations and Combinations

Annuities are series of equal periodic payments. Types: (1) Ordinary annuity (payments at period end); (2) Annuity due (payments at period beginning). Present value: PV = A × [(1-(1+r)^(-n))/r] (ordinary), or PV = A × [(1-(1+r)^(-n))/r] × (1+r) (due). Future value: FV = A × [((1+r)^n - 1)/r] (ordinary), or FV = A × [((1+r)^n - 1)/r] × (1+r) (due). Example: A=1000, r=10%, n=5 years (ordinary). PV = 1000 × 3.7908 = 3790.8. FV = 1000 × 6.1051 = 6105.1. Applications: Loan EMI, retirement planning, pension calculations. Exam tip: Identify annuity type from payment timing. Use present/future value formulas correctly. Practice: Derive formulas using geometric series.

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