Q.Find the accumulated value of an annuity due of ₹5,000 paid at the beginning of each year for 3 years at 10% per annum compounded annually. [Given (1.1)^3 = 1.331]

For an annuity due, take the ordinary-annuity amount and multiply by (1 + i).

Payments are at the beginning of each year, so this is an annuity due with $C=5000$, $i=0.10$, $n=3$:

Check (independent verification) — grow each deposit separately:

• Beginning of year 1 deposit earns interest for 3 years: $5000\times(1.1)^{3}=5000\times1.331=₹6{,}655$. …

Forgetting the extra $(1+i)$ factor for an annuity due (which would give ₹16,550, the ordinary value). Every annuity …