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061

Case 061Fixed income and cash managementCore

A client must park Rs 3 crore for 3 years. Compare a fixed 7.4% with a floating rate of the policy rate plus 1.5%, if the policy rate goes 6.5%, 6.0% and 5.75% over the three years.

1The situation

Seema Chavan has Rs 3 crore from a property sale that she will need in exactly three years to buy a larger home. She wants the money safe and the interest paid out each year. Two instruments from comparable, high-quality issuers are on offer: a three-year deposit fixed at 7.4%, and a three-year floating-rate instrument paying the central bank's policy rate plus 1.5%, reset once a year.

The house view is that the policy rate will be 6.5%, 6.0% and 5.75% in years one, two and three. Tax is the same on both, so compare before tax.

2Your task

Which pays more on the expected path, what rate path makes the answer flip, and which would you choose for her?

Quick check

On the expected path, which pays more over three years?

Worked solution

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

30-second answerThe answer to give first

On the expected path floating pays Rs 68.25 lakh against Rs 66.6 lakh fixed, only Rs 1.65 lakh more. Floating wins only if the policy rate averages above 5.9% over the three years. If rates are cut faster, to 6.0%, 5.25% and 5.0%, floating pays Rs 62.25 lakh and loses by Rs 4.35 lakh. For money with a fixed date and purpose, the fixed rate's certainty is worth the small give-up.

Step 1What are the two options really betting on?

Choosing a fixed or floating home loan is a view on where rates go; so is choosing a fixed or floating deposit, from the other side. Fixed at 7.4% locks the answer today; floating at policy plus 1.5% pays whatever the rate path turns out to be, so the choice is a view on that path. Floating beats fixed over three years only if its average rate beats 7.4%, which means the policy rate must average more than 5.9%.

YearPolicy rateFloating rateFloating, Rs lakhFixed, Rs lakhGap
16.50%8.00%24.0022.20+1.80
26.00%7.50%22.5022.20+0.30
35.75%7.25%21.7522.20-0.45
Total68.2566.60+1.65
On the expected path floating earns Rs 1.8 lakh more in year one, Rs 0.3 lakh more in year two and Rs 0.45 lakh less in year three, ending Rs 1.65 lakh ahead of fixed over three years.
Step 2What if rates fall faster than the house view?

Test the path, because the house view is a forecast. If the policy rate is 6.0%, 5.25% and 5.0%, floating pays Rs 62.25 lakh and loses to fixed by Rs 4.35 lakh, more than twice what it gains on the expected path. The payoff is lopsided: the upside from choosing floating is small because the 7.4% fixed rate already builds in expected cuts, while the downside grows with every extra cut. Markets set a fixed rateA rate locked for the full term, which lenders and borrowers price off where they expect short-term rates to be over that term. close to the expected average of future floating rates, so choosing floating mostly means taking the risk that the path differs.

Income each year on Rs 3 crore: floating wins only if rates fall slowly182022242624.0022.5022.5020.2521.7519.5022.2Fixed 7.4%, total 66.6Floating, expected path, total 68.25Floating, faster cuts, total 62.25Year 0Year 1Year 2Year 3Income paid in each year, Rs lakh
Fixed pays Rs 22.2 lakh a year; floating pays Rs 68.25 lakh in total on the expected path, slightly more, but only Rs 62.25 lakh if the policy rate is cut faster, so the small gain comes with a larger possible shortfall.
Step 3Which would you choose for Seema, and why?

Tie the answer to the purpose of the money. The money has a fixed date and a fixed job, a house purchase, so predictable income and principal matter more than a possible Rs 1.65 lakh extra; the view is fixed. Floating would suit a client who expects rates to stay higher than the market does, or whose own costs rise with rates, such as someone with a floating-rate loan, where floating income acts as a hedge.

Name two things the rate comparison leaves out. Both instruments must be of comparable credit quality, and she should check whether either can be broken early and at what penalty, because a three-year plan can change. And the income paid out each year will be reinvested at whatever rates prevail, which is lower for both if rates fall; that reinvestment effect is small here because the income is only a few lakh a year.

Where candidates lose it

The reflex answer is fixed wins because rates are falling. On the expected path that is wrong: rates fall, but floating still pays more because it starts from a higher base. The interviewer wants the arithmetic before the instinct.

The opposite trap is picking floating because it wins on the house view, without testing another path. The question is designed to show that a small expected gain can hide a larger downside.

What the interviewer asks next

  • At what fixed rate would you switch your view to floating?
  • Seema also has a floating-rate home loan coming. Does that change the answer?
  • How would a laddered set of one, two and three-year deposits compare?
← Case 060A client paused his Rs 25,000 monthly SIP for 12 months during a 20% fall and restarted after the recovery. How many units did he miss buying cheaply, and what did the pause cost him at recovery?Case 062 →Rs 5 crore into a listed REIT at a 7.5% distribution yield, or into an office unit with 6% gross rent less 25% for costs and vacancy? Compare income, liquidity and concentration.

Company names and figures are illustrative.

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