Case 045Client mandates and IPSHard
A client holds Rs 15 crore of her Rs 18 crore net worth in her employer's shares, a stock with 45% volatility. Compare her portfolio volatility and the chance of a 50% wealth loss before and after diversifying, and lay out a staged three-year selling plan.
1The situation
Farah Contractor, 44, is a senior vice president at Zenvora Labs, a listed diagnostics software company. Over nine years of stock options and share grants she has built up Zenvora shares worth Rs 15 crore, with a tax cost of about Rs 3 crore. Her other investments, Rs 3 crore in balanced funds, take her net worth to Rs 18 crore. Her salary and future grants also come from Zenvora.
For planning, assume Zenvora returns 13% a year with 45% volatility, a diversified portfolio 9% with 12%, and a correlation of 0.4 between them. She is proud of the company and reluctant to sell.
2Your task
How risky is her position today and after diversifying, what is the chance she loses half her wealth, and what selling plan would you put in her investment policy statement? Treat tax as a framework to confirm at current rates.
Quick check
Roughly what is her portfolio volatility today?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
Today her wealth swings with about 38% volatility and carries a chance of about 11% of halving within three years; with Rs 2 crore of Zenvora left, volatility falls to about 13% and that chance to well under 1 in 1,000. Sell Rs 13 crore over three years, Rs 6, 4 and 3 crore, front-loaded, inside the company's trading windows or a pre-disclosed trading plan. The tax on the gains is far smaller than one bad year in the stock.
Step 1How much risk does one stock at 83% of net worth carry?
A household that lives on one salary, keeps its savings with that same employer and lives in the company town is not diversified however many accounts it has. Farah's salary, her future grants and 83% of her wealth all depend on Zenvora, so one bad event hits her income and her savings together. On the numbers alone, the portfolio's volatility is about 38.3%, nearly the stock's own 45%, because the Rs 3 crore of balanced funds is too small to offset it.
| 0.833 | Zenvora's share of net worth, 15 / 18 |
| 0.45, 0.12 | volatility of Zenvora and of the diversified funds |
| 0.4 | correlation between them |
Step 2How likely is a loss of half her wealth?
Model wealth as lognormal and ask how often it ends below Rs 9 crore after three years. Concentrated, the answer is about 10.8%, roughly one chance in nine; diversified, about 0.003%, effectively nil. The model flatters the concentrated case. A single company can lose most of its value on one event, a failed product, an accounting problem or a regulatory ruling, far more often than a normal curve allows, while a diversified portfolio has no such single point of failure.
Step 3Why stage the sale over three years instead of selling tomorrow?
Selling everything at once removes the risk fastest, and that is the benchmark against which any delay must justify itself. Staging is justified by constraints, not by a view on the stock: insider trading windows, tax spread across financial years, and a client who will only follow a plan she accepts. As a senior employee she is likely a designated person who can trade only in open windows with pre-clearance; Indian insider trading rules also allow a trading plan disclosed in advance, so confirm the current conditions with the company's compliance officer. Front-load the plan, because the risk is largest now: Rs 6 crore in year one, Rs 4 crore in year two and Rs 3 crore in year three, each year split into tranches across the open windows.
| Point in plan | Zenvora, Rs crore | Share of wealth | Volatility | Chance of halving in 3 years |
|---|---|---|---|---|
| Today | 15 | 83% | 38.3% | 10.81% |
| After year 1 | 9 | 50% | 25.5% | 1.98% |
| After year 2 | 5 | 28% | 17.8% | 0.12% |
| After year 3 | 2 | 11% | 13.5% | 0.00% |
Step 4How do you treat the tax, and what goes in the policy statement?
Frame tax as a cost to compare, not a reason to wait. About 80% of every rupee she sells is gain, so the Rs 13 crore sale realises about Rs 10.4 crore of gains. Every point of tax rate costs about Rs 104.0 lakh; even at an illustrative 20%, chosen to be cautious and not the current rate, the bill is about Rs 2.1 crore, against Rs 6.75 crore lost in one bad year of a 45% volatility stock. Whether gains are long or short term, and the cost basis of shares acquired through options, depend on rules to confirm with her tax adviser at current rates. The policy statement then records the target: Zenvora at no more than about 10% to 15% of net worth by the end of year three, the selling schedule, a rule to sell faster if the stock rises sharply, and a rule that new grants are sold as they vest.
Where candidates lose it
The common loss is treating this as a tax problem. Candidates spend the time on how to minimise the bill and never show that the risk of holding is several times the tax cost of selling.
The second is forgetting that her job is also a Zenvora position. A plan that sells the shares but lets new grants pile up, or that ignores trading windows, will not survive its first quarter.
What the interviewer asks next
- Zenvora rises 40% in the first six months of the plan. Do you sell faster or slower?
- Could she protect the position with options instead of selling, and what would that cost her?
- How would the plan change if she expected to leave Zenvora within a year?
Company names and figures are illustrative.
