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100

Case 100Lending and leverageCore

A client needs Rs 60 lakh for an MBA abroad. Should she take an education loan at 10.5%, with the interest deduction treated as a framework to confirm, or redeem from a portfolio expected to earn 11%?

1The situation

Ritika Mahajan, 27, has been admitted to a two-year MBA abroad and needs Rs 60 lakh. She has Rs 1 crore invested: Rs 20 lakh in debt funds expected to earn 7% and Rs 80 lakh in diversified equity expected to earn 12%, about 11% overall. A bank offers an education loan at 10.5%.

Indian tax law allows a deduction for interest on an education loan for a limited number of years; its terms must be confirmed. The deduction only helps once she has taxable income, so during the two study years it is worth nothing. Use an illustrative 30% slab once she is working, 12.5% tax on long-term equity gains, and slab tax on debt fund gains. For risk, assume equity's yearly returns swing by about 16 points.

2Your task

Borrow, sell, or a mix? Show the after-tax numbers and the risk in each choice.

Quick check

Which of her holdings should she sell first, if she sells anything?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

Sell the Rs 20 lakh of debt funds and borrow the other Rs 40 lakh. Debt funds leave about 4.9% after tax, less than the loan costs even with the deduction, so they should go first. Equity is expected to leave about 10.5% after tax against a loan cost of 7.35% once she earns, a thin edge that fails about 33% of the time over five years. Borrowing Rs 40 lakh costs about Rs 4.2 lakh a year before the deduction.

Step 1What is the real comparison?

The after-tax cost of the loan against the after-tax return on each holding she would otherwise sell. Keeping a fixed deposit at 7% while paying 12% on a credit card balance loses money every month; the question is the same, done asset by asset. The loan costs 10.5% until she has income and, if the deduction applies at a 30% slab, about 7.35% after that. A portfolio's average of 11% is the wrong yardstick, because she can choose which part to sell.

Borrow only against assets expected to earn more than the loan costsCost of borrowingReturn on what she would sell10.50%Loan rateno income yet7.35%After deduction30% slab, confirm4.90%Debt fundsafter slab tax10.50%Equityafter 12.5% tax+7.2-7.2rangeloan cost 7.35%
The loan costs 10.5% before tax and about 7.35% after an illustrative deduction; debt funds are expected to return about 4.9% after tax, below that cost, while equity's expected 10.5% sits above it with a five-year band of about 7.2 points either way.
Step 2Why do the debt funds go first?

Because they earn less than the loan costs. 7% taxed at a 30% slab leaves about 4.9%, below even the loan's after-deduction cost of 7.35%; borrowing to keep them would pay more in interest than they earn. Selling Rs 20 lakh of debt funds covers a third of the need with no leverage at all. The only reason to keep them would be an emergency reserve, and she should keep a separate reserve of a few months' costs for that.

Step 3Should she borrow the rest or sell equity?

Borrow, knowing the edge is thin. Equity's expected after-tax return of about 10.5% beats the loan's 7.35% once she works, but with yearly swings of about 16 points, the five-year average falls below the loan cost about 33% of the time. During the study years, with no deduction, the comparison is 10.5% against 10.5%, a loss about 50% of the time. The gain, about 3 points on Rs 40 lakh a year on average, is real but modest; in Benjamin Graham's terms the margin of safetyThe gap between the expected result and the level at which a decision stops paying, kept as a cushion against being wrong. is thin, which argues against borrowing more than the Rs 40 lakh.

ChoiceExpected after-tax effectRisk
Sell Rs 60 lakh: all debt funds, Rs 40 lakh equityGives up equity's expected edge over the loanNone from leverage; tax on equity gains
Borrow all Rs 60 lakhPays more on Rs 20 lakh than the debt funds earnEquity below loan cost about 33% of the time
Sell debt funds, borrow Rs 40 lakhKeeps only the holdings that beat the loanInterest about Rs 4.2 lakh a year before the deduction
Selling the Rs 20 lakh of debt funds and borrowing Rs 40 lakh keeps only the equity that is expected to beat the loan's cost, at interest of about Rs 4.2 lakh a year before any deduction.

Close with what could change the answer. If her post-MBA income is uncertain, the deduction may be worth less and the loan's cost closer to 10.5%, which removes most of equity's edge. A loan also adds a fixed payment to her first working years. The decision rule is simple and portable: sell what earns less than the loan costs, borrow instead of selling what earns clearly more, and keep the borrowing small when the edge is thin.

Where candidates lose it

Candidates compare the loan's 10.5% with the portfolio's 11% average and conclude borrowing wins by half a point. That ignores tax on both sides and the fact that the portfolio is two very different assets.

The second miss is forgetting that an interest deduction needs taxable income. During two years of study it is worth nothing, and that is when most of the interest accrues.

What the interviewer asks next

  • Her parents offer to lend her Rs 40 lakh at 6%. How does that change the plan?
  • Equity falls 25% in her first year abroad. Does she regret borrowing?
  • How would you treat the loan if she plans to work abroad after the MBA?
← Case 099Price a 5-year capital-protected note on Rs 1 crore: a 7.5% zero-coupon yield sets the bond floor, 2% goes to distribution, and the rest buys at-the-money index calls costing 30% of notional at 18% volatility. What participation results, and how would you explain the Black-Scholes inputs to the client?

Company names and figures are illustrative.

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