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007

Case 007Client mandates and IPSCore

A 45-year-old surgeon has Rs 8 crore from selling his clinic stake and a Rs 1.2 crore home loan, and wants Rs 40 lakh a year in today's money from 55. Should he prepay the loan, what are his return and risk objectives, and what is a first allocation?

Northern TrustLake Forest · 2022

1The situation

Anand Rajurkar, 45, is a surgeon who has just sold his stake in a clinic for Rs 8 crore after tax. He has a home loan of Rs 1.2 crore at 8.6% with 15 years left, an EMI of about Rs 14.3 lakh a year. After the EMI and his family's spending he saves about Rs 25 lakh a year from his practice.

He wants to stop operating at 55 and spend Rs 40 lakh a year in today's money until 85. Assume inflation of 6% and, after 55, a portfolio return of 8%. He tells you he wants 80% in mid and small caps because he is young and earns well.

2Your task

Decide on the loan, write his return and risk objectives, and set a first allocation.

Quick check

Roughly what return does Anand need on his money between 45 and 55 to fund the goal?

Worked solution

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

30-second answerThe answer to give first

Prepay the loan, set a required return of about 5.4% a year, and start near 40% equity, 50% bonds and 10% gold. Prepaying earns a certain 8.6% and frees Rs 14.3 lakh a year of savings. The goal needs about Rs 16.6 crore at 55, which Rs 6.8 crore plus Rs 39.3 lakh a year reaches at 5.4%. The mix is assumed to earn about 8.8%, a margin for bad years, not a reason for 80% small caps.

Step 1Should Anand prepay the loan?

Compare what the loan costs with what the same money would safely earn. Prepaying a 8.6% loan is a certain 8.6% return, paid in money he has already been taxed on, and nothing in his safe assets beats that after tax. A bond or deposit yielding around 7% before tax earns less once interest is taxed at his slab. The tax deduction on home loan interest softens the loan's cost, but it is capped and depends on the tax regime he chooses; confirm the current rules and his regime before counting it. Keep six to twelve months of spending liquid, then prepay. It also frees the Rs 14.3 lakh EMI, taking his yearly savings to about Rs 39.3 lakh.

Step 2What corpus does the goal need at 55?

Inflate the spending first: Rs 40 lakh at 6% for ten years is Rs 71.6 lakh in the first year of retirement. That amount then rises 6% a year for 30 years while the money earns 8%. The present value of that rising stream at 55 is about Rs 16.6 crore, and that number, not his risk appetite, is the target. It is like planning a road trip by first measuring the distance, then deciding how fast to drive, rather than choosing the speed because the car can do it.

The relationship
Corpus55=C 1−(1.061.08)300.08−0.06 (1.08)≈1,660 lakh\text{Corpus}_{55} = C\,\frac{1-\left(\frac{1.06}{1.08}\right)^{30}}{0.08-0.06}\,(1.08) \approx 1{,}660 \text{ lakh}
Cfirst year's spending at 55, Rs 71.6 lakh
1.06spending rises with inflation
1.08return on the portfolio after 55
30years from 55 to 85
What it says in wordsThe corpus at 55 is the value today of thirty rising withdrawals, each taken at the start of the year.
The spending goal sets the return Anand needs, not his appetiteBuildneeds 5.4% a yearDraw down: spending rises 6% a year, corpus earns 8%0510152025Rs croreRs 16.6 croreneeded at 55Rs 6.8 crore4555657585: nothing leftBuild, 45 to 55: Rs 6.8 crore after repaying the loan, plus Rs 39.3 lakh saved a year, growing at 5.4%.Draw down, 55 to 85: Rs 71.6 lakh in the first year, rising 6% a year, from a corpus earning 8%.Assumed: 6% inflation, 8% return after 55, spending of Rs 40 lakh a year in today's money.
Starting from Rs 6.8 crore and saving Rs 39.3 lakh a year, Anand reaches the Rs 16.6 crore his spending needs at 55 by earning about 5.4% a year, and that corpus then runs down to zero at 85 while paying Rs 71.6 lakh a year, rising with inflation.
Step 3How do you write the return and risk objectives?

Return objective: about 5.4% a year nominal until 55, enough to fund Rs 40 lakh a year in today's money to 85, with a margin above it. Risk objective: his ability to take risk is high, because of a ten-year horizon, a large income and a fully funded goal. His willingness is stated as high but untested by a real fall. His need for risk is low, and in an investment policy statement the need sets the ceiling: there is no reason to run 80% small caps to earn a return the goal does not require. A limit that a fall of 15% in a bad year is acceptable gives both of you a number to hold to.

SleeveWeightAssumed returnCrash scenario
Equity40%11.5%-40%
Bonds and deposits50%7.0%+2%
Gold10%7.0%+10%
Portfolio100%8.8%-14%
The first allocation is assumed to earn about 8.8% against the 5.4% the goal needs, and in a crash with equities down 40% it loses about 14%, Rs 0.95 crore, which the plan can absorb. All returns are illustrative assumptions.
Step 4Why not give him the 80% small caps he asked for?

Because it adds a large chance of a painful fall and buys nothing the goal needs. At 40% equity he is expected to reach about Rs 21.7 crore at 55 against Rs 16.6 crore needed; that surplus is the cushion for a poor decade. An 80% small cap book that fell 50% in a bad year would lose about Rs 2.7 crore, and the likeliest way to miss a funded goal is to sell at the bottom. Review the mix every year and as 55 approaches, when the drawdown needs its own plan.

Where candidates lose it

Most candidates start with his stated appetite and build an aggressive portfolio, or start with the Rs 8 crore and allocate it without asking what it is for. The goal comes first: inflate the spending, find the corpus, then solve for the return.

The second loss is treating the loan as unrelated. A certain 8.6% after tax beats his safe assets, and prepaying also raises his savings by the EMI, which lowers the return he needs.

What the interviewer asks next

  • Anand wants to retire at 50 instead. What happens to the required return?
  • How would you change the allocation in the two years before 55?
  • His wife is 40 and expects to live to 95. What changes in the plan?
  • How would the answer change if the home loan rate were 7.5%?

Asked at Northern Trust, Wealth Management, Lake Forest, 2022 (Wall Street Oasis): If you had 1 Million dollars placed on in your account, tell me how you would invest it.

← Case 006A portfolio manager runs ten accounts in one strategy and advertises the best three, which averaged 24%. All ten averaged 13% against a 14% benchmark. What should a fair composite show, and why?Case 008 →A Rs 1,000 crore balanced fund holds domestic equity, unhedged US equity, corporate bonds and gilts. Apply a crisis scenario with equities down 55%, spreads up 400 basis points, gilt yields down 150 and the rupee down 20%. What is the loss, and what actually hedged?

Company names and figures are illustrative.

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