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Business Mathematics and Basic Statistics · Ch 1 — Banking — Fixed and Recurring Deposits

Fixed Deposits — Concept and Maturity Value

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Fixed Deposits — Concept and Maturity Value

A Fixed Deposit (FD) is a lump-sum amount deposited with a bank for a fixed period at a fixed rate of interest, decided at the time of deposit. Unlike a savings account, the money cannot ordinarily be withdrawn before the agreed period ends; in exchange, the bank pays a rate of interest that is usually higher than a savings account's, and the interest is compounded — most commonly, Indian banks compound FD interest quarterly (every three months), though yearly, half-yearly and monthly FDs are also offered on some schemes.

This chapter is part of the WBCHSE Class 12 Commerce Business Mathematics and Basic Statistics syllabus, and it places special emphasis on FD and RD calculation specifically — the general theory of compound interest for all four compounding frequencies was already covered in the Class 11 Compound Interest chapter of this same syllabus; here, that formula is simply applied to the concrete case of a bank fixed deposit.

Note

Key Notation

PP = principal (the amount deposited), rr = the annual (nominal) rate of interest quoted by the bank, tt = time in years, nn = number of times interest is compounded per year (1 for yearly, 2 for half-yearly, 4 for quarterly, 12 for monthly), and AA = the maturity value (the amount the depositor receives when the FD matures).

Recall the general compound-interest formula from Class 11: for a principal compounded nn times a year at annual rate r%r\% for tt years,

Note

Fixed Deposit Maturity Value

A=P(1+r100n)ntA = P\left(1 + \frac{r}{100n}\right)^{nt}

with n=4n = 4 for the common quarterly-compounding FD, n=2n=2 for half-yearly, n=1n=1 for yearly, n=12n=12 for monthly.

The maturity value AA is what the depositor actually receives at the end of the FD's term; the interest earned is simply A−PA - P. Every FD problem in this chapter reduces to correctly identifying PP, rr, tt and the compounding frequency nn, and then applying this one formula — exactly the skill already practised in the Class 11 Compound Interest chapter, now framed around a real bank product.

Definition 1Fixed Deposit (FD)

A lump-sum deposit made with a bank for a fixed term at a fixed rate of interest, normally not withdrawable before maturity, on which interest is compounded at the bank's stated frequency (commonly quarterly).

Definition 2Maturity Value

The total amount (AA) a depositor receives when a Fixed Deposit or Recurring Deposit reaches the end of its term — principal plus all the compound interest earned.