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036

Case 036Retail and portfolio creditCore

Delinquency on three successive vintages of two-wheeler loans is rising while disbursements grow 40% and the approval rate climbs. Separate seasoning from underwriting drift and say what the credit committee should do.

1The situation

Rathvik Auto Finance lends to buyers of two-wheelers. Its three most recent quarterly vintages, loans disbursed in each quarter, show 30-plus days past due at six months on book of 2.1%, 2.9% and 3.8%.

Over the same three quarters disbursements grew 40% and the approval rate on applications rose from 55% to 61% to 68%, after the sales team pushed for volume in a competitive market. The portfolio-wide delinquency rate reported to the board has barely moved.

2Your task

Is the rise seasoning or underwriting? How bad are the extra approvals, and what should the credit committee do?

Quick check

Why does the board's portfolio-wide delinquency rate barely move?

Worked solution

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

30-second answerThe answer to give first

The rise is underwriting, not seasoning: at the same six months on book, each newer vintage is worse. If the loans the old policy would have approved still run at 2.1%, the 13 extra approvals per 100 applicants in the Q3 vintage imply delinquency of about 11%. They are 19% of approvals and about 55% of the bad loans. Tighten the cut-off back for that marginal segment, rather than slowing the whole book.

Step 1Why can't you just look at the portfolio delinquency rate?

A newly planted orchard has no rotten apples, because nothing has had time to ripen. Loans are the same: a borrower cannot be 30 days late in the first month. A fast-growing book is full of young loans, so its overall delinquency rate is diluted even when every new vintage is worse than the last. That is why the board's number is flat. The fix is a {term('vintage analysis', 'Tracking each batch of loans disbursed in the same period separately, and comparing batches at the same age since disbursement.')}: line the vintages up by months on book, so every batch is compared at the same age.

Compare vintages at the same age: each newer one is worse1%2%3%4%5%036912Months on book30+ days past due, % of loans disbursedsame age: 6 months2.1%2.9%3.8%Q3 vintage, approval rate 68%Q2 vintage, approval rate 61%Q1 vintage, approval rate 55%
At six months on book the Q1, Q2 and Q3 vintages show 30-plus delinquency of 2.1%, 2.9% and 3.8%, and each newer curve sits above the older one at every age, so the deterioration comes from underwriting rather than seasoning.
Step 2What do the extra approvals look like on their own?

Assume the applicants did not change and the old policy's 55 approvals per 100 still behave at 2.1%. Then the Q3 vintage's 68 approvals contain 55 old-policy loans and 13 extra ones. The 13 extra must carry the rest of the delinquency: 68 x 3.8 less 55 x 2.1, divided by 13, is about 11.0%, roughly five times the old book. The Q2 vintage tells the same story: its 6 extra approvals imply about 10.2%. Two independent readings agreeing is what makes the finding credible.

VintageApproval rate30+ at 6 monthsExtra approvals per 100Implied 30+ on extras
Q155%2.1%nonenone
Q261%2.9%610.2%
Q368%3.8%1311.0%
If the old-policy approvals keep their 2.1% rate, the extra approvals in the Q2 and Q3 vintages imply 30-plus delinquency of about 10% and 11%, about five times the loans the old policy approved.
The 13 extra approvals carry about half the bad loansApprovals per 100 applicants55 old-policy loans13 extra68 approvedDelinquent loans per 100 applicants1.161.432.58 bad= 3.8% of 68Old-policy loans: 2.1% delinquent. Extra loans: 1.43 bad among 13 = 11.0% delinquent.Extra loans are 19% of approvals and 55% of the bad loans.
In the Q3 vintage the 13 extra approvals per 100 applicants are 19% of the loans but carry about 55% of the delinquencies, an implied rate of 11.0% against 2.1% for the old-policy loans.
Step 3What should the credit committee do?

Target the marginal segment. Identify the score bands and sourcing channels that the looser policy let in and restore the old cut-off there, rather than slowing all lending. The old-policy book is performing, and cutting it would punish good business. Then ask whether the marginal loans could be priced for their risk: at around 11% early delinquency the eventual loss is likely to be several per cent of the loan, more than the rate difference a competitive market allows. Add a trigger to the policy: any vintage whose six-month delinquency exceeds the previous one by a set margin goes back to the committee automatically.

Name the limits of the inference. The calculation assumes the applicant pool stayed the same; if a new dealer channel brought weaker applicants, part of the rise belongs to the channel, not the cut-off. Seasonality matters too: two-wheeler loans disbursed in a festival quarter can behave differently, so compare each vintage with the same quarter a year earlier before concluding.

Where candidates lose it

The common mistake is to call the rising numbers seasoning, since loans get worse as they age. Seasoning explains a rise along one vintage's curve, not a gap between vintages measured at the same age.

The second is to recommend cutting growth across the board. The damage is concentrated in the extra approvals; a blunt cut throws away the healthy 55 in every 100 along with the bad 13.

What the interviewer asks next

  • What early indicator would you track so the next vintage is caught at three months rather than six?
  • How would you estimate lifetime loss on the marginal segment from its six-month delinquency?
  • Sales argue the extra loans are profitable because of fee income. How do you test that?
← Case 035A business park is valued at an 8% cap rate with a 65% loan-to-value covenant. Rates rise and the cap rate moves to 9.5%. What happens to value and LTV, what paydown cures the breach, and what if rents fall too?Case 037 →A small cooperative bank holds a large government bond portfolio as held-to-maturity. Yields rise 200 basis points. How big is the hidden loss against capital, and why does the accounting label not make it go away?

Company names and figures are illustrative.

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