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009

Case 009Duration and rates positioningWarm up

A parent needs Rs 10 lakh a year for four years of college fees starting next year. Compare a ladder of four target maturity funds maturing in years 1 to 4 with a single short duration fund, on rate risk and certainty.

1The situation

Ishita Bhonsle's son starts college next year. Fees are Rs 10 lakh a year, paid at the start of each of the four years, so the first payment is twelve months away. She wants to set the money aside now and not worry about it again.

Her adviser offers two routes. One: four target maturity fundsDebt funds that hold bonds maturing around a fixed date and wind up on that date. Held to the end, they return close to the yield at purchase, less costs., each maturing just before a fee date. Two: one short duration fund with a portfolio duration of about 2.5 years, withdrawing Rs 10 lakh each year. For this case, assume both earn 7.2% a year at today's rates and that yields are the same across maturities.

2Your task

How much does she need to invest today, and which route gives her more certainty that each year's fees will be there?

Quick check

If interest rates rise sharply after she invests, which route is more likely to leave a shortfall?

Worked solution

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

30-second answerThe answer to give first

She needs about Rs 33.7 lakh today, and the ladder gives her more certainty. Each target maturity fund matures close to Rs 10 lakh on its fee date whatever rates do in between. The short duration fund keeps a constant 2.5 year duration, so rising rates late in the plan can leave a gap: a 1.5 point rise after year two leaves about Rs 36,499 short in year four.

Step 1How much money does the plan need today?

If you need Rs 10 lakh in one year and money earns 7.2%, you need Rs 10 lakh divided by 1.072 today, about Rs 9.33 lakh. Do the same for each year. The four fee payments are worth about Rs 33.72 lakh today at 7.2%, so that is what goes into the plan. The later payments need less today because they have longer to grow: Rs 7.57 lakh now becomes Rs 10 lakh in four years.

Four maturities lined up against four fee dates, Rs lakhTodayYear 1Year 2Year 3Year 4Fees Rs 10 lakhFees Rs 10 lakhFees Rs 10 lakhFees Rs 10 lakhRs 9.33Year 1 fundRs 8.70Year 2 fundRs 8.12Year 3 fundRs 7.57Year 4 fundInvest todayTotal invested today: Rs 33.72 lakh. Each fund pays out as a fee falls due
Investing Rs 9.33, 8.70, 8.12 and 7.57 lakh today in funds maturing in years one to four, Rs 33.72 lakh in all, lines up about Rs 10 lakh to arrive on each fee date.
Step 2Why does matching dates remove rate risk?

Think of buying four train tickets for four trips. Once bought, a fare rise does not touch you. A bond held to maturity pays its face value on its date, so a rise in rates in the meantime changes its price on the way but not what arrives at the end. Each rung of the ladder is a bond fund built to mature on one date, so the fee due that year is locked in at today's yield, less the fund's small costs. The plan stops depending on where rates go.

Step 3Where does the short duration fund leave her exposed?

At the start, the plan's four payments have an average timing of about 2.41 years, close to the fund's 2.5 years, so the match looks good. But the fund keeps its duration near 2.5 years forever, while the plan's remaining payments get closer every year. After two years only two payments remain, averaging about 1.5 years away, while the fund still carries 2.5 years of rate risk, so a late rise in rates hurts. Suppose rates rise 1.5 points just after the second fee is paid. The remaining Rs 18.03 lakh falls about 3.75% to Rs 17.35 lakh. Higher yields of 8.7% help afterwards, but year three leaves Rs 8.86 lakh, which grows only to Rs 9.64 lakh by year four, about Rs 36,499 short.

FeatureLadder of four target maturity fundsOne short duration fund
What arrives on each fee dateAbout Rs 10 lakh, set todayDepends on rates when she withdraws
Rate risk over the planFalls to zero rung by rungStays near 2.5 years throughout
Rates rise 1.5 points after year twoNo shortfallAbout Rs 36,499 short in year four
Rates fall insteadNo windfallSmall surplus
PaperworkFour funds to trackOne fund
The ladder trades away any windfall from falling rates for certainty on every date, while the short duration fund is simpler but leaves each year's withdrawal exposed to where rates are at that moment.
Step 4Which route, and what are the limits?

For a fixed bill on a known date, the ladder is the better fit, because certainty is what the money is for. The short duration fund is not a bad product; its shortfall in this case is modest, and if rates fell it would end slightly ahead. But Ishita's goal is the fees, not the highest possible return. Three practical checks follow. Target maturity funds may not exist for every year she needs, so a bank deposit or a government bond can fill a gap. Each fund's expense ratio and tracking difference reduce what arrives. And tax on debt fund gains differs from deposits, so compare after-tax amounts using the current rules.

Where candidates lose it

The common loss is saying both routes are safe because both are debt funds. The interviewer wants the difference between price risk that reverses at maturity and price risk that never has a fixed end date.

The second miss is matching the fund's duration to the plan only at the start. The plan's duration shrinks every year; an open-ended fund's does not.

What the interviewer asks next

  • Fees rise 8% a year. How does the ladder change?
  • What if no target maturity fund matures in year 2?
  • Would a single fund with a 2.4 year duration on day one solve the problem?
  • How would a 1.5 point fall in rates change the comparison?
← Case 008A hybrid fund benchmarked to a 65/35 equity-debt index runs only 45% net equity by hedging with arbitrage positions. It lagged by 3% in a year the equity market rose 25%. Is that underperformance or benchmark misfit, and what benchmark would be fair?Case 010 →A Rs 9,000 crore small cap fund receives Rs 1,800 crore in a month. Its 60 stocks have a median daily turnover of Rs 18 crore and it can buy 15% of volume without moving prices. How long does deployment take, and should it limit lump-sum inflows?

Company names and figures are illustrative.

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