Case 023Market view and security pitchCore
The central bank cuts rates by 50 basis points. Mark to market a Rs 8 crore portfolio that is 40% long bonds of duration 7, 50% equity and 10% cash. What changes, and what do you tell the client?
1The situation
The Salkar family's Rs 8 crore portfolio holds Rs 3.2 crore in long government and corporate bonds with a modified duration of 7 and convexity of about 60, Rs 4 crore in diversified equity funds, and Rs 80 lakh in cash and liquid funds.
This morning the central bank cut its policy rate by 50 basis points, more than markets had expected, and long bond yields fell by about the same amount. Mr Salkar calls and asks what the cut has done to his money and whether he should do anything.
2Your task
Work out what you can size precisely, give a range for what you cannot, and say what you would tell him.
Quick check
Roughly what does a 0.5 point fall in yields do to the Rs 3.2 crore bond sleeve?
Worked solution
Try it on paper, then open one step at a time.
30-second answerThe answer to give first
The bond sleeve gains about Rs 11.4 lakh, 3.58%, and that is the only part you can size. Cash will earn about Rs 0.4 lakh less over a year. Equity's reaction is a range, say -2% to +4%, or -Rs 8 to +Rs 16 lakh, because a cut can signal cheaper money or a weaker economy. Tell him the bond gain is partly next year's income paid early, and nothing in his plan needs to change.
Step 1What can you size, and what can you not?
Separate the mechanical from the uncertain before saying any number. A falling fuel price tells you exactly what your next tank costs; it does not tell you whether airline shares will rise. A bond's price response to a yield change is arithmetic, set by duration; equity's response to a rate cut is a judgement about what the cut means. So size the bonds precisely, show the cash effect, and give equity as a range you label as an illustration.
Step 2What does duration say about the bonds?
Modified duration of 7 means about 7% of price change for each point of yield. A 0.5 point fall gives about +3.5%, and convexity of 60 adds about 0.075%, so the sleeve rises about 3.58%: Rs 11.44 lakh on Rs 3.2 crore. That gain is real today, marked to market, whether or not a single bond is sold. The cash sleeve works the other way: as its deposits and liquid fund holdings roll over at yields 0.5 point lower, it earns about Rs 0.4 lakh less over the next year.
Step 3Why is equity only a range?
Because the same cut can be read two ways. Cheaper money raises the value of future profits and lowers companies' borrowing costs, which helps shares. But a cut larger than expected can also signal that the central bank sees a weaker economy ahead, which hurts profits. Which reading the market takes is not knowable from the cut alone, so the honest answer is a range with the reasoning, not a point estimate. The -2% to +4% here is an illustration of that uncertainty, not a forecast.
Step 4What do you tell Mr Salkar?
Three things, in this order. First, the number: the bonds are up about Rs 11 lakh today, and the rest depends on how equity reads the cut. Second, what the gain means: a bond gain from falling yields is largely future income brought forward; after the move, the sleeve yields about 0.5 point less, roughly Rs 1.7 lakh a year of lower income from here. Third, what to do: nothing, unless the cut changes his needs. His bond sleeve exists to steady the portfolio, and it just did its job; chasing more duration after the cut would be buying what has already moved.
Say the limits. Duration assumes all yields move together; if long yields fall less than the policy rate, the bond gain is smaller. And the cash sleeve's lower income arrives gradually, as instruments mature.
Where candidates lose it
The common error is starting with an equity forecast, because that is what the client asked about in the news. The strong answer sizes the part that is arithmetic first and labels the rest as a range.
The second is presenting the bond gain as pure profit. Interviewers want to hear that lower yields mean lower income from here, so part of today's gain is tomorrow's income paid early.
What the interviewer asks next
- Long yields fall only 0.2 point while the policy rate falls 0.5. Redo the bond sleeve.
- Mr Salkar wants to sell the bonds and lock in the gain. What do you say?
- How would a floating-rate bond sleeve have behaved instead?
Company names and figures are illustrative.
