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044

Case 044Macro and multi-asset scenariosCore

The rupee falls 8%. A global allocation fund has Rs 1,000 crore: 25% unhedged US equity, 20% domestic IT exporters whose earnings rise 6% for an 8% fall, 15% oil-importing sectors that fall 5%, and 40% domestic bonds. Estimate the net effect.

1The situation

Vistrit Global Allocation Fund manages Rs 1,000 crore for Indian investors. It holds 25% in US equities with no currency hedge, 20% in Indian IT services exporters, 15% in sectors that import oil, such as paints, airlines and chemicals, and 40% in Indian government and corporate bonds with a duration of 4 years.

Overnight the rupee loses 8% of its value against the dollar. Analysts estimate that IT exporters' earnings rise 6% for a move of this size and that the oil importers' shares fall 5%. US share prices are unchanged in dollars.

2Your task

What is the net effect on the fund, sleeve by sleeve, what second-round effects should you add, and what could flip the answer?

Quick check

If US shares are flat in dollars, what does the Rs 250 crore US sleeve gain in rupees?

Worked solution

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

30-second answerThe answer to give first

The fund gains about Rs 26 crore, 2.6%, before second-round effects, and about Rs 22 crore if bond yields rise a quarter point. The US sleeve gains about Rs 21.7 crore and exporters Rs 12 crore, while oil importers lose Rs 7.5 crore. The fund is net long the dollar. If the rupee fell because of a global sell-off, US shares would fall too and the gain could disappear.

Step 1What does a weaker rupee do to each sleeve?

A family whose son works in New Jersey feels richer the week the rupee falls: the same dollar transfer buys more groceries in Nagpur. The family that imports a car feels poorer. Every sleeve in the fund is one of those two families, or neither. Unhedged US shares are the son's salary: worth more rupees. IT exporters earn in dollars and pay most costs in rupees, so their profits rise. Oil importers pay in dollars for a raw material they sell in rupees, so their margins shrink. Domestic bonds carry no direct currency exposure at all.

SleeveRs croreWhy it movesEffect, Rs crore
US equity, unhedged250Dollar assets worth 8.7% more rupees+21.7
IT exporters200Earnings +6%, valuation multiple held+12.0
Oil importers150Input costs up, shares -5%-7.5
Domestic bonds400No direct effect0.0
First-round total1,000+26.2
Before any second-round effect the weaker rupee adds Rs 21.7 crore through US equity and Rs 12 crore through exporters, and takes Rs 7.5 crore through oil importers, a net gain of Rs 26.2 crore.
Step 2Why is an 8% fall in the rupee more than 8% on the dollar?

Percentages are not symmetric. If a rupee is worth 8% fewer dollars, then a dollar is worth more than 8% more rupees, because the base has shrunk. A dollar that cost Rs 100 now costs Rs 108.70, so the US sleeve's rupee value rises 8.7%, not 8%. The gap is small here, Rs 1.7 crore, but it compounds with the size of the move and interviewers listen for whether you notice it.

The relationship
ΔUS=250×(11−0.08−1)=250×0.0870≈21.7\Delta_{US} = 250 \times \left(\frac{1}{1-0.08} - 1\right) = 250 \times 0.0870 \approx 21.7
250US equity sleeve, Rs crore
0.08fall in the rupee's dollar value
What it says in wordsAn 8% fall in the rupee lifts the rupee value of an unhedged dollar holding by 8.7%, about Rs 21.7 crore on Rs 250 crore.
A weaker rupee, sleeve by sleeve, Rs crore+21.7US equity+8.7% in Rs+12.0IT exportersearnings +6%-7.5Oil importers-5%-4.0Bonds, if yieldsrise 0.25 pt22.2Net effecton Rs 1,000 cr0before the bond effect: +26.2
The weaker rupee adds Rs 21.7 crore through unhedged US equity and Rs 12 crore through IT exporters, takes Rs 7.5 crore through oil importers and about Rs 4 crore through bonds if yields rise, leaving a net gain of about Rs 22 crore.
Step 3What are the second-round effects, and what could flip the sign?

A weaker rupee makes imports dearer, which can push up inflation and lead the central bank to hold rates higher. If bond yields rise a quarter point, a 4-year duration costs about 1% of the Rs 400 crore sleeve, Rs 4 crore, trimming the gain to about Rs 22 crore. Treat that move as an assumption to vary, not a forecast. The bigger question is why the rupee fell. If it fell because global investors were selling risk everywhere, US shares may be falling in dollars at the same time. A 10% fall in US shares alongside the rupee's 8% turns the US sleeve into a loss of about Rs 5.4 crore, and the whole fund's result to about Rs -4.9 crore.

Step 4What would you do with the currency exposure?

First describe it: the fund is net long the dollar through the US sleeve and the exporters, partly offset by the importers. That position worked as a cushion here, which is the usual argument for leaving some foreign equity unhedged for an Indian investor: the rupee tends to weaken in bad times for India. Whether to hedge depends on the mandate. If investors want global equity returns without currency swings, hedge part of the US sleeve, remembering that the cost of a rupee-dollar hedge broadly reflects the gap between the two countries' interest rates. Confirm the current forward cost before quoting it. Report the estimate as a range, from a loss of about Rs 5 crore to a gain of about Rs 26 crore, not a single number.

Where candidates lose it

The common slip is taking an 8% fall in the rupee as an 8% rise in the dollar, or worse, converting the wrong way and shrinking the gain. Write the rupee price of a dollar before and after and the answer is mechanical.

The second is treating the currency move as if it happened alone. Interviewers follow up with why the rupee fell, and a candidate who has not considered a global sell-off moving US shares at the same time loses the case.

What the interviewer asks next

  • What hedge ratio on the US sleeve would make the fund roughly neutral to the rupee?
  • Would your answer change for a fund holding Indian companies that borrowed in dollars?
  • If the rupee rose 8% instead, is the effect the mirror image?
← Case 043How would you take a university public? It has 12,000 students paying Rs 3 lakh a year at a 30% operating margin. Using a sector EV to EBITDA of 18 times, set the valuation, the split between new and existing shares, and the price per share.Case 045 →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.

Company names and figures are illustrative.

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