Banking • Topic 3 of 3

Fixed Deposits and Recurring Deposits

What is a Fixed Deposit (FD)? A Fixed Deposit (FD) is an account where you deposit a lump sum of money for a fixed period (e.g., 6 months, 1 year, 5 years). You cannot withdraw before maturity without paying a penalty. FDs offer higher interest rates than savings accounts.

Key Features of FD:

  • Higher interest rate (5% to 8% typically)
  • Fixed tenure (7 days to 10 years)
  • Premature withdrawal allowed with penalty
  • Interest paid at maturity or periodically
  • Tax saving FDs (5-year lock-in under Section 80C)

What is a Recurring Deposit (RD)? A Recurring Deposit (RD) allows you to deposit a fixed amount every month for a specific period. It helps build savings gradually. At maturity, you receive the total deposits plus interest.

Key Features of RD:

  • Monthly fixed installment (e.g., ₹500, ₹1000)
  • Tenure usually 6 months to 10 years
  • Interest rate similar to FD (compound quarterly)
  • Maturity amount = Total deposits + Interest

Formulas for FD and RD:

For simple interest (basic problems): \[ I = \frac{P \times R \times T}{100} \] \[ A = P + I \]

For compound interest (real banks use this): \[ A = P \left(1 + \frac{R}{100 \times n}\right)^{n \times T} \] where n = number of times interest compounds per year

Comparison Table:

FeatureFixed Deposit (FD)Recurring Deposit (RD)
Deposit typeOne lump sumMonthly installments
Suitable forHave large amount nowSave monthly from salary
Interest rateHigher (7-8%)Slightly lower (6-7%)
Lock-in periodFixed tenureFixed tenure
Premature withdrawalPenalty appliesPenalty applies
Recurring deposit timeline: equal monthly deposits feeding a maturity value Recurring deposit: n monthly deposits of ₹P P P P P P · · · month 1 month 2 month 3 month 4 month n Maturity value MV Interest earned on the equivalent "months of money": 1 + 2 + … + n = n(n+1)/2 Interest = P × n(n+1)/(2×12) × r/100 Fixed deposit versus recurring deposit, and a worked RD maturity value FD vs RD, and maturity value = deposits + interest Fixed Deposit (FD) one lump sum, once higher rate · fixed tenure Recurring Deposit (RD) equal amount every month builds savings gradually Example: ₹500/month for 24 months at 8% p.a. Deposited 500×24 = ₹12,000 Interest ₹1,000 Maturity MV ₹13,000
1
Worked Example
Mrs. Verma deposits ₹20,000 in a fixed deposit for 3 years at 7% simple interest per annum. Find the maturity amount.
Solution
  1. P = ₹20,000, R = 7%, T = 3 years
  2. Interest = (20,000 × 7 × 3) / 100
  3. = (4,20,000) / 100 = ₹4,200
  4. Maturity amount = P + I = 20,000 + 4,200 = ₹24,200

Answer: ₹24,200.

2
Worked Example
Amit opens an RD of ₹500 per month for 2 years at 8% simple interest. Find the total interest and maturity amount.
Solution
  1. Monthly deposit (P) = ₹500
  2. Number of months (n) = 24
  3. Total principal = 500 × 24 = ₹12,000
  4. For RD, equivalent principal for interest = P × n(n+1)/(2×12)
  5. = 500 × (24 × 25) / 24 = 500 × 25 = ₹12,500
  6. Interest = (12,500 × 8 × 1) / (100) (T=1 year equivalent)
  7. = ₹1,000
  8. Maturity amount = 12,000 + 1,000 = ₹13,000

Answer: Interest = ₹1,000; Maturity = ₹13,000.

3
Worked Example
Calculate the maturity amount for an FD of ₹10,000 for 2 years at 10% compounded annually.
Solution
  1. A = P(1 + R/100)^T
  2. A = 10,000 (1 + 10/100)\(^{2}\)
  3. = 10,000 (1.1)\(^{2}\)
  4. = 10,000 × 1.21 = ₹12,100
  5. Interest = 12,100 - 10,000 = ₹2,100

Answer: Maturity amount = ₹12,100.

Key Points

  • Fixed Deposit (FD): Lump sum deposit, higher interest, fixed tenure.
  • Recurring Deposit (RD): Monthly deposits, builds savings habit.
  • FDs and RDs offer higher interest than savings accounts.
  • Premature withdrawal results in penalty (lower interest).
  • For RD, average principal = monthly installment × n(n+1)/(2×12).
  • Interest can be simple or compound (banks use compound quarterly).
Tap an option to check your answer0 / 4
Q1.In a recurring deposit, equal installments are deposited:
Explanation: Monthly installments.
Q2.A fixed deposit is a:
Explanation: One-time lump sum.
Q3.In the RD interest formula, $n$ is the number of:
Explanation: Months (installments).
Q4.The maturity value of an RD equals:
Explanation: Deposits plus interest.