Advanced Financial Strategy

Loan Arbitrage Simulator

Compare the loan cost and investment balances when EMIs are paid from income or regular withdrawals.

Currency

    Loan Details

    ₹

    Fifty Lakh Rupees

    Eight Percent

    Fifteen

    Investment Assumptions

    ₹

    Fifty Lakh Rupees

    Twelve Percent

    Seven Percent

    Zero Percent

    Advanced Strategy Controls

    Use SWP equal to EMIAuto-matches monthly withdrawal to required EMI
    ₹

    Adjust for InflationShow real purchasing power of final wealth

    Insufficient Investment Warning

    Your initial investment of ₹50,00,000 is below the required ₹84,40,625 to sustain a 7% withdrawal rate safely.

    Calculation: (Annual EMI) ÷ (Withdrawal Rate)

    Based on Your Inputs, A Workable SWP Scenario Is:

    Summary of your current inputs with back-calculated optimal values

    Loan Amount

    ₹50,00,000

    Total loan to be repaid

    Monthly EMI

    ₹49,237

    Fixed monthly payment

    Monthly SWP Withdrawal

    ₹49,237

    Amount to withdraw monthly to cover EMI

    Initial Investment Needed

    ₹84,40,625

    Lump sum to invest upfront

    At 7% withdrawal rate and 12% expected ROI

    Loan Tenure

    15 Years

    Duration of loan repayment

    Final Corpus

    ₹2,41,73,829

    Investment value after loan is fully repaid

    This scenario is based on your current inputs. Adjust the values above to explore different scenarios.

    AI Strategic Insights

    • • Positive Arbitrage: Your expected return (12%) is higher than your loan rate (8.5%). Investing the lump sum yields better net wealth.
    • • Success: Strategy C fully covers your EMIs and leaves you with a surplus investment balance of 4,370,850 at the end of the loan tenure.
    • • Strategy B (Invest Only, pay EMI out of pocket) generates more final wealth than Strategy C because your investment compounds entirely untouched.

    Execution Analysis

    Recommended Approach

    Invest & Pay Pocket (Strategy B) yields highest wealth

    Mathematically, choosing Invest & Pay Pocket (Strategy B) maximizes your net wealth at the end of the tenure.

    Investment Needed for SWP
    ₹84.41 L

    To sustain a 7% withdrawal rate safely.

    Calculation: ₹5,90,844 (Annual) ÷ 7%

    Final Corpus at Closure
    ₹43.71 L

    After 15 years of consistent withdrawals.

    Total Loan Interest
    ₹38.63 L

    Over entire tenure

    Final Wealth (Strategy B)
    ₹2.78 Cr

    Invest lump sum, pay EMI from pocket

    Total Paid to Bank
    ₹88.63 L

    Principal: ₹50.00 L + Interest: ₹38.63 L

    Net Wealth Comparison (Over Time)

    Strategy C: Loan Balance vs Investment Balance

    Annual Cash Flow: EMI vs SWP Withdrawals

    Detailed Year-by-Year Breakdown (Strategy C)

    Track your exact portfolio corpus, growth, and withdrawals against the loan balance.

    YearEMI PaidSWP WithdrawnCorpus StartGrowth (ROI)Corpus EndShortfallLoan Balance
    1590843.7347553561590843.7347553565000000574137.64230638734983293.907551032504827540.259392427
    2590843.7347553561590843.7347553564983293.9075510325572111.87276021384964562.0455558904639836.646082539
    3590843.7347553561590843.7347553564964562.04555589569840.45975990884943558.770560442504435541.740352869
    4590843.7347553561590843.7347553564943558.7705604425567293.61674526294920008.65255034904213189.022836503
    5590843.7347553561590843.7347553564920008.652550349564437.9452577884893602.86305278203971182.3471911764
    6590843.7347553561590843.7347553564893602.863052782561235.9969643594863995.125261784503707784.4822534947
    7590843.7347553561590843.7347553564863995.1252617845557645.78257213614830797.17307856503421104.6414237865
    8590843.7347553561590843.7347553564830797.173078565553620.2211948414793573.65951805203109084.909761984
    9590843.7347553561590843.7347553564793573.659518052549106.52294955684751836.44771225302769485.471362217
    10590843.7347553561590843.7347553564751836.447712253544045.49668763164705038.20964452902399868.530961665
    11590843.7347553561590843.7347553564705038.209644529538370.77378149644652565.2486706701997580.8143658442
    12590843.7347553561590843.7347553564652565.24867067532007.93778839394593729.4517037101559734.5220706386
    13590843.7347553561590843.7347553564593729.45170371524873.54857771554527759.26552606901083186.5993577284
    14590843.7347553561590843.7347553564527759.265526069516874.0481246754453789.5788953870564516.1740549708
    15590843.7347553561590843.7347553564453789.578895387507904.5336212594370850.37776129100

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    Loan Arbitrage Deep Dive

    What this calculator compares

    This calculator models an outstanding loan alongside a lump sum that could remain invested. It compares a loan-only baseline, an untouched investment with EMIs paid from income, and an investment used to fund EMIs through regular withdrawals.

    These scenarios use different external cash flows. A higher ending investment balance is not automatically a better result from the same money.

    Why the strategy is not risk free

    The loan repayment obligation remains even when investments lose value. An assumed investment return above the loan rate does not create a guaranteed gain.

    The name loan arbitrage describes the comparison on this page. It is not a promise of risk-free arbitrage or a recommendation to borrow for investing.

    The three strategies

    StrategyInvestment treatmentEMI funding
    A standard repaymentNo investment corpus modelledOutside income or cash
    B invest and leave untouchedLump sum compoundsOutside income or cash
    C invest and withdrawLump sum reduced by SWPInvestment withdrawals, with outside cash for any shortfall

    Strategy A is a loan-cost baseline. It does not model a lump-sum prepayment or foreclosure. For that direct question, use the Payoff Loan vs Invest Calculator.

    Strategy B requires the entire EMI to be funded separately. Strategy C uses the investment to fund some or all of it. Compare the source and total amount of those payments as well as the ending corpus.

    How the Calculation Works

    Loan EMI

    EMI = P × r × (1 + r)n ÷ [(1 + r)n − 1]

    P is outstanding principal, r is the annual loan percentage divided by 100 and 12, and n is the remaining months. At zero interest the mathematical EMI is P ÷ n. The entered loan rate remains fixed in the projection.

    Investment growth and withdrawals

    The main projection subtracts the entered expense ratio from the assumed annual investment return, then divides the net rate by 12.

    Strategy B: Closing corpus = Opening corpus × (1 + monthly rate).

    Strategy C: Closing corpus = Opening corpus × (1 + monthly rate) − monthly withdrawal.

    Here withdrawals occur after monthly growth. This differs from the month-start withdrawal convention on the separate SWP Calculator page. A partly funded withdrawal creates a shortfall; it does not cancel the loan EMI.

    If your return assumption already reflects a fund's ongoing expense ratio, entering that cost again can double-count it. Taxes and exit loads are not included.

    What the withdrawal rate means

    Reference corpus = Annual planned withdrawal ÷ withdrawal rate as a decimal.

    A ₹6 lakh annual withdrawal at a 7% reference rate gives ₹85.71 lakh. This is a ratio-based reference, not an exact capital requirement or a guarantee of survival. When SWP equals EMI, the EMI sets the monthly withdrawal.

    A worked loan and investment example

    Assume a ₹50 lakh outstanding loan at 8.5% for 15 years, a ₹50 lakh investment, a 12% investment return input and a 0.5% annual expense input. Set the monthly SWP equal to EMI.

    ResultModelled amount
    Monthly EMI₹49,237
    Total loan repayment₹88.63 lakh
    Total loan interest₹38.63 lakh
    Strategy B ending investment₹2.78 crore
    Strategy C ending investment₹43.71 lakh

    The investment uses an 11.5% net annual input divided by 12. Figures are rounded, with no tax, exit load or loan charges. Strategy B also needs ₹88.63 lakh in EMI payments from outside the investment over the term.

    How to Use the Loan Arbitrage Calculator

    1

    Enter the outstanding loan amount, current rate and remaining tenure.

    2

    Enter the lump sum available to remain invested.

    3

    Set an investment return assumption and any expense adjustment.

    4

    Match the SWP to EMI or enter the monthly withdrawal separately.

    5

    Review loan balances, investment balances, withdrawals and shortfalls.

    6

    Test lower returns, higher borrowing rates and different withdrawals in Dynamic What-If. Compare saved scenarios using the same cash-flow basis.

    7

    If inflation adjustment is enabled, read the real ending value alongside the nominal ending value.

    Interpreting the Comparison

    A return spread is not the final gain

    The difference between assumed investment return and loan interest omits timing, changing balances and costs. Compare the complete cash flows, including external EMI payments, rather than subtracting two percentages.

    SWP payments can use capital

    An SWP generates cash by redeeming units. It does not withdraw only the profit earned. During weak markets, funding the same EMI can require redeeming more units. AMFI's investor booklet explains SWP as regular redemptions. [1]

    What remains outside the model

    The calculation does not simulate changing market returns, floating loan resets, tax, exit loads, prepayment charges or emergency withdrawals. It also does not model a loan against pledged mutual fund units, loan-to-value limits or margin calls.

    For the borrowing comparison, review the lender's repayment schedule and full cost disclosures. RBI's Key Facts Statement explains APR and relevant loan charges. [2]

    Use the Loan Calculator for EMI details, the SWP Calculator for withdrawal planning and the Investment Calculator for a lump sum plus regular additions.

    Frequently Asked Questions

    Does Strategy A repay the loan immediately?
    No. It models standard EMI repayment without assigning an investment corpus. It is not a foreclosure scenario.
    Why is Strategy B's final investment usually larger?
    It leaves the investment untouched and pays EMIs from outside cash. That external funding is a material difference from Strategy C.
    What happens if the investment runs out?
    Any remaining EMI obligation needs another source of cash. A depleted investment does not reduce the contractual loan balance automatically.
    Is a return above the loan rate enough to make this work?
    No. Actual returns, costs, taxes, withdrawal timing and cash-flow capacity also affect the result. The return input is an assumption.
    Does this calculate a loan against mutual funds?
    No. It combines an amortising loan with an investment and withdrawals. It does not model a pledged-securities lending facility.

    Assumptions and Disclaimer

    The main projection uses fixed monthly loan payments, constant net investment growth and month-end withdrawals. Inflation adjustment discounts final value without changing nominal cash flows. The withdrawal-rate reference is a separate illustration.

    Loan payments remain due if investments underperform or run out. This is education, not investment advice. Mutual fund investments are subject to market risks; read all scheme-related documents carefully. Past performance does not guarantee future results.

    Sources and Review

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