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077

Case 077Client mandates and IPSWarm up

A client's risk questionnaire scores her aggressive, but she needs most of her money for a flat in two years. How do you set her allocation?

1The situation

Tanvi Oberoi, 31, has Rs 30 lakh saved. Her risk questionnaire scores her aggressive: she has a steady salary, no dependants, and says a 20% fall would not worry her. She also plans to buy a flat in two years and needs Rs 25 lakh for the down payment from this money.

Use these assumptions: equity returns 12% a year with 18% volatility, debt returns 7% with 2% volatility, and treat the two as uncorrelated. Her relationship manager has drafted an 80% equity, 20% debt portfolio because of the questionnaire score.

2Your task

What is the chance each of an 80/20 and a 10/90 portfolio ends below Rs 25 lakh, and what allocation would you set?

Quick check

Before any maths, which fact should decide her equity allocation?

Worked solution

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

30-second answerThe answer to give first

Put the down payment in debt and only the surplus in equity: roughly 27% equity, not 80%. On these assumptions the 80/20 mix has about a 2.9% chance of ending below Rs 25 lakh, and a 40% equity fall would leave her about Rs 8.7 lakh short. The 10/90 mix almost never misses. Rs 21.8 lakh in debt at 7% grows to Rs 25 lakh, leaving Rs 8.2 lakh free to take risk.

Step 1Why does the questionnaire not settle it?

A risk questionnaire measures how a client feels about losses. It says nothing about what the money has to do. Her tolerance for risk is high, but her capacity to take it on this money is low, because most of it is spoken for in two years. Think of a family saving for a daughter's college fees due next June: however brave the parents are, the fee money does not go into a stock that could halve. The investment policy statementThe written agreement between an adviser and a client setting out objectives, constraints, time horizon and the allocation that follows from them. should record the goal first and the score second.

Step 2How likely is each portfolio to miss the Rs 25 lakh?

She can afford to lose Rs 5 lakh, 16.7% of the pot, over two years. The 80/20 mix is expected to return 11% a year with 14.4% volatility, so over two years about 22% with a spread of 20.4%. That puts the Rs 25 lakh line 1.9 standard deviations below the centre: roughly a 2.9% chance, about 1 in 35, of missing the flat. The 10/90 mix returns 7.5% a year with 2.5% volatility; the line is almost nine standard deviations away.

Where Rs 30 lakh could be in two years, against the Rs 25 lakh she needs80% equity, 20% debtcentre Rs 36.6 lakh2.9% chanceof ending below Rs 25 lakh10% equity, 90% debtcentre Rs 34.5 lakhchance below Rs 25 lakh: about 0%Rs 25 lakh down paymentRs 20LRs 30LRs 40LRs 50L
On a normal approximation, the 80/20 portfolio has about a 2.9% chance of ending below Rs 25 lakh in two years, while the 10/90 portfolio has almost none, because its outcomes sit in a narrow band around Rs 34.5 lakh.
Step 3Why is 3% not a comfortable number?

Because the normal curve understates bad years. Equity falls of 40% within two years have happened in most markets, and the curve treats them as close to impossible. Run the stress instead: if equity falls 40% and debt earns 7% a year, 80/20 ends at Rs 21.3 lakh, Rs 3.7 lakh short, while 10/90 ends at Rs 32.7 lakh. The cost of missing is not a smaller flat; it may be no flat, or a forced loan at the worst moment.

PortfolioExpected in 2 years, Rs lakhChance below Rs 25 lakhIf equity falls 40%, Rs lakh
80% equity / 20% debt36.62.9%21.3
27% equity / 73% debt35.0about 0%29.9
10% equity / 90% debt34.5about 0%32.7
Moving from 80% to 27% equity gives up about Rs 1.6 lakh of expected gain, and in a 40% equity fall turns a Rs 3.7 lakh shortfall into a Rs 4.9 lakh cushion above the down payment.
Step 4So what allocation do you set?

Work backwards from the goal. Rs 25 lakh in two years at 7% needs Rs 21.84 lakh today. That money goes into debt matched to the date, and only the Rs 8.16 lakh left over, about 27% of the pot, can go into equity. Even if that equity lost 40%, the flat is safe. Her aggressive score then applies fully to her future savings and to this surplus, which is where it belongs.

Name the limits. The 7% debt return assumes she holds to maturity; a debt fund can wobble too, so match the maturity to the purchase date. If the flat purchase slips by three years, the horizon changes and so does the answer. The allocation is a split by job, not a verdict on her as an investor.

Where candidates lose it

The common loss is letting the questionnaire decide. Candidates see aggressive and a 31-year-old and write 80% equity, which confuses willingness to take risk with the ability to take it on money that has a date attached.

The second is quoting the 3% probability as proof the 80/20 mix is fine. A 1 in 35 chance of losing the flat, with fat tails making it worse, is not a risk a planner accepts on a goal the client cannot move.

What the interviewer asks next

  • Her down payment date moves to five years away. What allocation now?
  • She insists on 80% equity after hearing the numbers. What do you document?
  • Which debt instruments would you use to match a two-year date, and why?
← Case 076Give me a two-minute pitch on Rangrez Paints: one thesis, one catalyst, one risk.Case 078 →An active large cap fund charges 1.8% and is expected to deliver 2.0% of gross alpha with 5% tracking error; an index fund charges 0.2%. What is the chance the active fund beats the index fund in one year, and over ten?

Company names and figures are illustrative.

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