🏦 JAIIB 2026 • RBWM • Module E • (Chapter 3 of 4) Unit 29

Mortgage Advice
(No Regulation in India, Time Value of Money, Rule of 72/115/144, Capital Gains STCG/LTCG, Sec 54/54EC & EMI Calculator)

This chapter covers the MATH behind mortgages! From Future Value to Present Value, from the Rule of 72 to Capital Gains computation — every banker needs these calculations. Plus: India has NO regulation for mortgage advice (unlike US/UK)!

⏱ 25 min read🎯 3-4 Exam Questions🧠 6 Memory Tricks⚡ 10 Flash Cards

Banky Tries the Rule of 72… On His Age! 📊😂

Manager taught the Rule of 72. Banky calculated: “Sir, I’m 24 years old. 72÷24 = 3 years. So I’ll double in 3 years?!” Manager: “Banky, that’s for MONEY, not for your AGE! At 8% interest, money doubles in 72÷8 = 9 years!”

“Sir, so ₹1 today is worth MORE than ₹1 tomorrow? Then why does my salary feel the same every month?! And what’s ‘discounting’ — do shops give discounts on future value too?! 😅”

🤔

Section 1 of 9

Why Should You Read This Chapter?

👨‍🏫

Banky, this chapter has the mathematical foundation of ALL lending! Time Value of Money (a rupee today > a rupee tomorrow), Rule of 72 (money doubles), FV/PV formulas, annuities (ordinary vs due), and Capital Gains (STCG vs LTCG for property = 24 months threshold, Cost Inflation Index, Sec 54/54EC exemptions). Key exam fact: India has NO regulation for mortgage advice (True!). Expect 3-4 questions including calculations.

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Section 4 of 9

Key Words Explained Like a 10-Year-Old

The Big Rule

Time Value of Money & Rule of 72/115/144

₹1 today is worth MORE than ₹1 tomorrow because today’s rupee can earn interest!

72÷r

Core concept: ₹1 today > ₹1 tomorrow. Because ₹1 today can be invested and earn interest. Compounding = converting present to future value. Discounting = converting future to present value (reverse of compounding).

Rule of 72: Divide 72 by interest rate = years to DOUBLE. Example: 8% → 72÷8 = 9 years to double. At 6% → 72÷6 = 12 years.

Rule of 115: Divide 115 by interest rate = years to TRIPLE. At 4% → 115÷4 = 28.75 years.

Rule of 144: Divide 144 by interest rate = years to QUADRUPLE (4x). At 4% → 144÷4 = 36 years.

FV formula: FV = PV × (1+r)ⁿ. Example: ₹1,00,000 at 10% for 5 years = 1,00,000 × (1.10)⁵ = ₹1,61,000.

PV formula: PV = FV ÷ (1+r)ⁿ. Reverse of FV. ₹1,61,000 at 10% for 5 years back = ₹1,00,000.

Compounding frequency matters: ₹10,000 at 6% → Annual=₹10,600 | Quarterly=₹10,613 | Weekly=₹10,618.

🧒 Rule of 72 = like doubling a recipe: If your money grows 8% per year (like adding 8% more ingredients each year), it’ll take 72÷8 = 9 years for your recipe (money) to be DOUBLE the size! Faster growth (higher %) = fewer years to double. 🍰📈

Property Tax

Capital Gains — STCG & LTCG for Property

Profit from selling property = taxable! Short-term or Long-term depends on how long you held it.

24 months

For immovable property (land/building): Held ≤24 months = STCG (Short-Term). Held >24 months = LTCG (Long-Term). (Changed from 36→24 months from AY 2018-19.)

For listed shares/MF units: 12 months threshold. Unlisted shares: 24 months.

STCG computation: Sale price − (transfer expenses + cost of acquisition + cost of improvement). Taxed at slab rate. NO indexation benefit. NO exemption by reinvestment.

LTCG computation: Sale price − (transfer expenses + INDEXED cost of acquisition + INDEXED cost of improvement). Taxed at flat 20% + surcharge + cess. Indexation benefit available!

Cost Inflation Index (CII): Base year 2001-02 = 100. Indexed cost = Original cost × (CII of transfer year ÷ CII of acquisition year). Adjusts for inflation.

Exemptions: Sec 54 (reinvest in residential house, 1yr before/2yr after/3yr construct). Sec 54EC (invest in NHAI/REC bonds within 6 months, max ₹50L, hold 3 years). Sec 54F (non-residential asset → residential house). Capital Gains Deposit Account Scheme for unused gains.

🧒 Capital Gains = profit from selling your old bicycle: Bought for ₹5,000, sold for ₹8,000 = ₹3,000 profit (capital gain). Held <2 years = STCG (taxed at your normal rate). Held >2 years = LTCG (lower tax + inflation adjustment). Buy a NEW bicycle with the profit? Tax exempted (like Sec 54)! 🚲💰

Regular Payments

Annuities — Ordinary vs Due

Fixed payments at regular intervals — like your EMI or SIP!

2 Types

Ordinary Annuity: Payments at END of each period. Most loans, FDs. FV = A × [(1+i)ⁿ−1] ÷ i.

Annuity Due: Payments at BEGINNING of each period. Rent, insurance premiums. FV = A × [(1+i)ⁿ−1] ÷ i × (1+i). Always slightly MORE than ordinary (because money invested earlier earns more interest).

Example: ₹1,000/year for 5 years at 5%. Ordinary FV = ₹5,525.63. Annuity Due FV = ₹5,801.91 (higher because each payment starts earning interest one period sooner).

No regulation in India: Mortgage advice in India = NO regulation, NO licensing, NO code of conduct. Anyone can enter. Unlike US (licensing required) and UK (Home Information Packs from Aug 2007).

🧒 Ordinary vs Due = paying school fees: Ordinary = pay fees at END of month (June 30). Due = pay at BEGINNING of month (June 1). If you pay at the beginning, the school can invest your money for 30 extra days = slightly more value. That’s why Annuity Due > Ordinary! 🏫💵

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Section 6 of 9

Exam Angle

🎯 High-Priority Exam Facts

₹1 today > ₹1 tomorrow. Answer: today, tomorrow (fill in blanks).
Rule of 72: double at 8% = 72÷8 = 9 years. Answer: 8%.
Registration fees in Maharashtra ≈ 1% of consideration, max ₹30,000.
15% annual = 1.25% monthly (15÷12 = 1.25).
India: NO regulation for mortgage advice = TRUE.
Property LTCG: held >24 months. Taxed at flat 20% + surcharge + cess. Indexation available.
Property STCG: held ≤24 months. Taxed at slab rate. NO indexation. NO reinvestment exemption.
Sec 54: LTCG on residential house → reinvest in 1 house in India (1yr before/2yr after/3yr construct).
Sec 54EC: LTCG on any asset → NHAI/REC bonds within 6 months. Max ₹50L. Hold 3 years. NOT for STCG.
Capital Gains Deposit Account: Deposit unused gains in PSB. Withdraw for purchase/construction within time limit.
CII base year: 2001-02 = 100. Indexed cost = cost × (CII transfer yr ÷ CII acquisition yr).
FV = PV×(1+r)ⁿ. PV = FV÷(1+r)ⁿ. Compounding → FV. Discounting → PV.
Compulsory registration: Gift + Lease >1 year + instruments creating right in immovable property >₹100. Answer: ALL of above.
Not capital asset: Stock-in-trade, personal effects (except jewellery), agricultural land (with conditions).

📝 Practice Questions

Q: A rupee _____ is worth more than a rupee _____

✅ today, tomorrow

Q: Rule of 72 — money doubles in 9 years if interest rate is?

✅ 8% (72÷8=9)

Q: Mortgage advice in India is carried out without regulation?

✅ TRUE — no regulation, no licensing, no code of conduct

Q: Compulsory registration covers?

✅ (iii) All — Gift + Lease >1yr + instruments creating right >₹100

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Section 7 of 9

Memory Tricks

Trick 1

Rule of 72/115/144

“72=Double, 115=Triple, 144=Quadruple! Divide by rate!” 🔢

72÷8%=9yr double. 115÷4%=28.75yr triple. 144÷4%=36yr quadruple. Simple division!

Trick 2

FV vs PV

“Compound FORWARD (FV). Discount BACKWARD (PV)!” ⏩⏪

FV=PV×(1+r)ⁿ goes forward in time. PV=FV÷(1+r)ⁿ goes backward. Opposite processes!

Trick 3

Property Holding Period

“Property: 24 months! Shares: 12 months! Unlisted: 24!” 📅

≤24mo=STCG (slab rate, no indexation). >24mo=LTCG (20%, indexed). Changed from 36→24 since AY 2018-19.

Trick 4

Sec 54EC

“54EC = 6 months + NHAI/REC bonds + ₹50L max + hold 3 years!” 📋

LTCG on ANY capital asset (not just property). Invest within 6 months. Cannot redeem before 3 years. Max ₹50 lakh.

Trick 5

No Regulation

“India: ZERO mortgage advice regulation! US=licensed, UK=packs!” ❌

No entry barrier, no code of conduct, no licensing in India. US has state+federal regulation. UK has Home Information Packs (Aug 2007).

Trick 6

Annuity Types

“Ordinary=END. Due=BEGINNING. Due > Ordinary always!” 📊

Payment at beginning earns interest 1 period longer. Annuity Due FV = Ordinary FV × (1+i). Always slightly more.

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Section 8 of 9

Visual Summary Map

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Section 9 of 9

Flash Revision Cards

Time Value of Money

₹1 today > ₹1 tomorrow (because it earns interest)

Compounding=forward(FV). Discounting=backward(PV). More frequent compounding=more FV.

Rule of 72/115/144

72÷rate=Double | 115÷rate=Triple | 144÷rate=4x

72÷8%=9yr. 72÷6%=12yr. Works for both debt and investment. Quick mental calculation!

FV & PV Formulas

FV=PV×(1+r)ⁿ | PV=FV÷(1+r)ⁿ

₹1L@10%×5yr=₹1.61L(FV). ₹1.61L@10%÷5yr=₹1L(PV). Excel: FV(rate,nper,0,-pv,0)

Annuity Types

Ordinary=END of period | Due=BEGINNING of period

Due FV = Ordinary FV × (1+i). Due always > Ordinary. EMI = ordinary annuity.

Property Capital Gains

≤24mo=STCG (slab) | >24mo=LTCG (20%+indexed)

Changed from 36→24 months since AY 2018-19. Listed shares=12mo. Unlisted=24mo.

CII & Indexation

Base 2001-02=100 | Indexed cost = cost×(CII transfer÷CII acquire)

Only for LTCG. Adjusts for inflation. CBDT notified. Reduces taxable gain significantly.

Sec 54 & 54EC

54: House→House (1yr/2yr/3yr) | 54EC: Any→bonds (6mo,₹50L)

54EC: NHAI/REC bonds only. Hold 3yr. Max ₹50L. NOT for STCG. Capital Gains Deposit a/c for unused.

No Regulation India

Mortgage advice in India = ZERO regulation!

TRUE. No licensing, no code. US=licensed. UK=Home Info Packs (Aug 2007). India=anyone can advise.

Compulsory Registration

Gift + Lease >1yr + immovable property rights >₹100 = ALL

Answer (iii). Maharashtra: registration fee ≈1% of consideration, max ₹30,000.

Monthly Rate

15% p.a. = 1.25% per month (15÷12)

Annual to monthly conversion. Simple division. Used in Pre-EMI and EMI calculations.

⚡ Chapter 29 in 10 Lines:

India: NO regulation for mortgage advice. No licensing, no code. US=licensed. UK=Home Info Packs.
Time Value: ₹1 today > ₹1 tomorrow. Compounding=FV(forward). Discounting=PV(backward).
Rule of 72/115/144: Divide by interest rate → years to double/triple/4x. 72÷8%=9yr double.
FV=PV×(1+r)ⁿ. PV=FV÷(1+r)ⁿ. More frequent compounding = slightly higher FV.
Annuities: Ordinary (end) vs Due (beginning). Due > Ordinary always by factor (1+i).
Property STCG: Held ≤24 months. Taxed at slab rate. No indexation. No reinvestment exemption.
Property LTCG: Held >24 months. Taxed at 20% flat. Indexation using CII (base 2001-02=100).
Sec 54: LTCG on house → reinvest in 1 house in India (1yr before/2yr after/3yr construct).
Sec 54EC: LTCG any asset → NHAI/REC bonds within 6 months. Max ₹50L. Hold 3yr. NOT for STCG.
Compulsory registration: Gift + Lease >1yr + immovable property >₹100 = ALL.

Banky says: “Today > Tomorrow! 72÷rate = double! FV=PV×(1+r)ⁿ! Property 24mo = LTCG! 54EC = 6mo + bonds + ₹50L! India = no regulation! Ordinary=end, Due=beginning! Registration = ALL! Now I understand the MATH behind mortgages!” 📊🔢🏠🏆

Next: Chapter 30 — Valuation of Real Property — the FINAL chapter! 🎉🚀

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