CAGR Calculator

How the Formula Works

Calculated using the standard future value annuity formula:
M = P × [((1 + i)ⁿ - 1) / i] × (1 + i)

Where P is monthly deposit, i is monthly interest rate (annual return ÷ 12), and n is total months. Compounding produces an exponential curve where interest earns interest on itself over decades.

Nepal Regulatory Realities

• SEBON Regulation: Open-ended mutual funds are managed by licensed Asset Management Companies (NIBL Ace, Siddhartha, Sanima) under SEBON directives.
• Digital Mandate: Auto-debits occur via ConnectIPS or direct bank standing orders on salary day.
• Tax Advantage: Individual capital gains on mutual fund units are taxed at only 5% on redemption, vastly lower than progressive salary tax slabs.

Decision Guide & Common Errors

• Do Not Stop in Bear Markets: Stopping your SIP when NEPSE falls eliminates Rupee-Cost Averaging-the exact mechanism that buys cheap units and drives future outperformance.
• Not a Bank FD: A 12% projected return is an illustrative long-term historical equity reference, not a guaranteed contractual yield.
• Minimum Horizon: SIPs require at least 5 to 7 years to smooth short-term equity market volatility.

The Reducing Balance Engine

Commercial banks compute interest strictly on the declining principal balance:
EMI = [P × r × (1 + r)ⁿ] / [(1 + r)ⁿ - 1]

Where P is principal, r is monthly interest, and n is months. In early years, up to 70% of your EMI goes toward interest. As principal reduces, interest drops and equity builds. Beware of informal cooperatives quoting "10% Flat Rate"-a 10% flat rate actually equates to an effective APR of over 18.5%!

NRB Directives & Borrowing Limits

• Base Rate + Premium: Interest rates equal the bank's published quarterly Base Rate plus a fixed premium spread (e.g. 8.0% Base + 2.5% Premium = 10.5%).
• DSTI 50% Rule: NRB limits your total monthly loan EMIs across all banks to a maximum of 50% of verified post-tax income.
• LTV Financing Caps: Banks finance up to 70% for first-time residential home buyers, 50% for Kathmandu real estate, and 80%-90% for Electric Vehicles (EVs).

Prepayment Power & Common Traps

• Zero Prepayment Penalty: Under NRB circulars, commercial banks cannot charge prepayment penalty fees on floating-rate individual home loans.
• The 1-Extra EMI Hack: Paying just 1 extra monthly EMI per year directly toward principal cuts a 20-year mortgage down by nearly 4.5 years and saves millions in interest.
• The Max-Tenure Trap: Choosing a 30-year tenure to lower monthly EMI can cause you to pay more than 160% of the original loan value in pure interest alone.

The Drawdown Mathematics

Calculated month-by-month using iterative compounding:
Bₜ = Bₜ₋₁ × (1 + r/12) - W

Where Bₜ is the remaining balance, r is the annual growth rate, and W is the periodic cash withdrawal. As long as your withdrawal rate (W ÷ Total Corpus) stays below the net real return, your principal survives permanently.

Tax Efficiency vs Bank Fixed Deposit

• FD Interest Tax Drag: Commercial banks deduct 5% TDS upfront on 100% of the interest earned annually, eroding capital compound speed.
• Mutual Fund Capital Gains: Under an SWP, redemptions represent capital return plus capital gain. Only the net capital gain portion is taxed at 5% CGT, leaving unredeemed units compounding tax-free.
• ConnectIPS Direct Credit: Fund managers (AMCs) deposit monthly pension payouts directly to your commercial bank account on the 1st of every month.

Sequence of Returns Risk & The 3.5% Rule

• The Bear Market Trap: Withdrawing during an early NEPSE downturn forces selling more units at rock-bottom NAVs, causing permanent portfolio impairment.
• The 3-Year Cash Bucket: Maintain 2 to 3 years of living expenses in liquid fixed deposits or short-term debentures to fund cash flow during market corrections.
• Safe Withdrawal Rate: In Nepal's 6%-7% inflation environment, a conservative 3.0%-3.5% initial withdrawal rate provides bulletproof multi-decade sustainability.

How Progressive Slabs Work

Moving into a higher tax bracket never decreases your net take-home salary.

Each tax rate applies strictly to the incremental rupees inside that specific band. For an unmarried earner: the first NPR 5 Lakhs is taxed at 1% (or 0% with SSF), the next NPR 2 Lakhs at 10%, the next NPR 3 Lakhs at 20%, the next NPR 10 Lakhs at 30%, and income exceeding NPR 20 Lakhs at 36% (plus a 39% super-tax on earnings above NPR 50 Lakhs).

Legal Tax Deductions Checklist

• Section 63 Retirement Funds: Deduct up to one-third of total taxable salary or NPR 5,00,000 (whichever is lower, per Finance Act 2080+) by depositing into CIT, EPF, or SSF.
• SSF 1% Exemption: Employees enrolled in the Social Security Fund (SSF) are 100% exempt from the 1% Social Security Tax on their first income slab.
• Insurance Relief: Deduct up to NPR 40,000 for Life Insurance premiums and NPR 20,000 for Health Insurance premiums annually.

Common Mistakes & Compliance

• TDS ≠ Final Tax: TDS deducted by your employer or bank is an advance payment. You must reconcile your annual return (Form D-01) on the IRD portal.
• Unlinked PAN in Demat: Forgetting to link your PAN with your Demat broker account causes automatic maximum capital gains tax withholding without setoff rights.
• Document Retention: Section 81 of the Income Tax Act requires preserving all tax clearance certificates, invoices, and bank statements for at least 5 years.

SEBON Broker Commission Slabs

• Up to NPR 50,000: 0.40% (minimum fee NPR 10)
• NPR 50,001 to 5,00,000: 0.37%
• NPR 5,00,001 to 20,00,000: 0.34%
• NPR 20,00,001 to 1,00,00,000: 0.30%
• Above NPR 1 Crore: 0.27%
• Plus: SEBON Regulatory Fee (0.015%) and CDSC DP Fee (NPR 25 per transfer).

WACC & Capital Gains Tax (CGT)

• WACC in MeroShare: Weighted Average Cost of Capital must be calculated and declared via MeroShare EDIS before transferring sold shares.
• Individual Short-Term (≤365 Days): 7.5% CGT on net profit.
• Individual Long-Term (>365 Days): 5.0% CGT on net profit, incentivizing multi-year investing.
• Institutional Investors: 10.0% CGT on net realized profit.

Break-Even Friction & Over-Trading

• Round-Trip Drag: Buying and selling incurs approximately 0.8% to 1.1% in cumulative friction fees. A stock must rise at least ~1.0% just for you to break even.
• The Small-Order Penalty: The flat NPR 25 DP fee and minimum NPR 10 broker charge disproportionately penalize micro-orders under NPR 5,000.
• EDIS Deadline: Failure to complete EDIS transfer on MeroShare before 6:00 PM on T+1 causes an immediate 20% close-out penalty auction charge.

Quarterly Compounding Formula

Nepali banks compound interest on fixed deposits every quarter (every 3 months):
A = P × (1 + r/4)⁴ⁿ

Where P is principal, r is annual interest rate, and n is tenure in years. Because interest is credited 4 times a year and added to principal, the Effective Annual Rate (EAR) is approximately 0.25% to 0.40% higher than the nominal stated coupon rate.

NRB Circulars & Safety Net

• DCGF Deposit Guarantee: Under the Deposit and Credit Guarantee Fund (DCGF), individual retail deposits are statutorily insured up to NPR 5,00,000 per depositor per licensed institution.
• Institutional Spread: By NRB circular, institutional fixed deposit rates must be at least 1.0% lower than individual retail rates.
• Rate Adjustment Limits: Banks can only adjust their published monthly deposit interest rates by a maximum of 10% relative to the prior month.

TDS, Real Returns & Liquidity

• 5% Final Withholding: Resident individual deposit interest is subject to a 5% TDS deduction at source by the bank, which is a final tax.
• Inflation Trap: An 8.0% FD yields 7.6% net after 5% TDS. If annual inflation is 6.5%, your real purchasing power expands by only 1.1%.
• Loan Against FD: You can borrow up to 90% of your FD balance within 2 hours at an interest rate just 1% to 2% higher than your FD coupon, avoiding premature liquidation penalties.

Retirement Corpus Mathematics

Required corpus is determined by inflation-adjusted future annual expenses:
Corpus = Annual Expense × (25 to 30)

At 6.5% inflation, an NPR 50,000 monthly living cost today balloons to over NPR 1,76,000 per month in 20 years. To safely withdraw NPR 21 Lakhs annually for 25+ years without risking bankruptcy, an inflation-adjusted corpus of ~NPR 3.2 to 3.8 Crores is required.

Nepal's 3 Retirement Pillars

• Pillar 1 (SSF - Social Security Fund): Mandatory 31% contribution (20% employer + 11% employee) provides lifetime monthly pension from age 60, medical reimbursement, and dependent survivor protection.
• Pillar 2 (CIT / EPF): Statutory provident funds providing Section 63 tax deductions (up to NPR 3 Lakhs), 80% loan access, and capital preservation.
• Pillar 3 (Personal Growth Investments): Open-ended mutual fund SIPs, blue-chip NEPSE dividend equities, and real estate that generate inflation-beating capital growth.

The Nepal-Adapted 3.5% Rule

• Why the US 4% Rule Fails: Developed economies have 2% inflation and deep bond markets. In Nepal, 6.5% inflation requires withdrawing a conservative 3.0% to 3.5% annually.
• Critical Illness Isolation: Earmark a standalone health insurance policy (NPR 10-20 Lakhs sum insured) to ensure sudden private hospital bills do not force premature corpus liquidation.
• The Cost of Delay: Waiting 10 years to begin retirement investing forces you to invest nearly 3.5× more money each month to achieve the exact same retirement nest egg.

Purchasing Power Math & Rule of 72

Future cost is calculated as FV = PV × (1 + r)ⁿ while remaining purchasing power is PV = FV ÷ (1 + r)ⁿ.

Use the mental shortcut Rule of 72: divide 72 by the annual inflation rate to find how fast prices double. At Nepal's historical 6.5% inflation, everyday living costs double every 11.0 years (72 ÷ 6.5 ≈ 11.0).

Nepal Inflation Drivers & Currency Peg

• INR-NPR Peg Transmission: Because Nepal pegs 100 Indian Rupees to 160 Nepali Rupees and imports over 65% of consumables from India, Indian inflation directly imports into Nepal within 60 days.
• Food vs Headline CPI: While general NRB CPI sits around 5%-7%, food, edible oil, and vegetables frequently spike at 9%-12% due to monsoon supply bottlenecks.
• Healthcare Inflation: Private tertiary healthcare in Kathmandu increases at an estimated 8%-11% annually, outpacing general consumer goods.

Asset Defense: Real vs Nominal Returns

• The Savings Account Illusion: Bank savings accounts yielding 3% while inflation is 6.5% create a guaranteed 3.5% annual loss in real wealth.
• Inflation-Beating Assets: Productive assets (dividend-paying equities, open-ended mutual funds, and commercial real estate) have pricing power that grows cash flows ahead of inflation.
• Debt Beneficiary: Borrowers with long-term fixed-rate loans repay banks with future inflated rupees that possess significantly diminished purchasing power.