Leveraged IPO Application Under Pro-Rata Allocation
You advise a retail client with PKR 1.5 million of liquid savings. A PSX book-built IPO is open: 80 million shares, 25% reserved for retail, price band PKR 42–55. The client wants to apply at the PKR 55 cap and is considering borrowing another PKR 1 million at 18% per year for 30 days to enlarge the application. Retail applications at the cap have reached PKR 9.2 billion against a retail portion of PKR 2.1 billion at the cap. Allocation is pro rata, refunds are due about 10 business days after allotment, and listing is expected three weeks after close. The client’s note says fair value is PKR 60, but the market has been weak and several recent IPOs listed below issue price. The client asks whether leverage is prudent and what could go wrong.
1. Calculate the client’s expected allocation if he applies with PKR 2.5 million at the cap, and estimate the borrowing cost and break-even listing price. Show your assumptions.
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Retail oversubscription is 9.2bn / 2.1bn = 4.38x, so the pro-rata allotment ratio is 2.1 / 9.2 = 22.8%. An application of PKR 2.5m therefore receives about PKR 570,000 of shares, or 570,000 / 55 = 10,364 shares at the cap.
Borrowing PKR 1m at 18% for 30 days costs 1,000,000 × 0.18 × 30/365 = PKR 14,795. If refunds arrive 10 business days after allotment and listing is three weeks after close, the borrowed money may be tied up for roughly 45 days, giving a cost near PKR 22,192. The break-even listing price is therefore 55 + 22,192 / 10,364 = PKR 57.14 before fees and taxes.
At a PKR 60 listing, the gross gain is only about (60 − 57.14) × 10,364 = PKR 29,600, not the PKR 51,800 implied by comparing 60 with 55. At PKR 50, the loss is about (57.14 − 50) × 10,364 = PKR 74,000. If oversubscription rises, the allotment ratio falls and the break-even price rises further.
2. Advise whether the client should borrow. Identify at least three non-quantitative risks that could reverse the conclusion.
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The arithmetic can support borrowing only if the probability-weighted listing price is comfortably above PKR 57.14 and the client can absorb a loss. That is a narrow margin for a retail investor using debt. A prudent recommendation is to apply only with own cash, or to borrow a much smaller amount, unless the client has independent evidence that the issue is under-subscribed at the cap.
Non-quantitative risks include: (1) oversubscription may increase before close, reducing the allotment and raising the break-even price; (2) refunds or listing may be delayed, increasing interest cost; (3) market sentiment may weaken, so the stock lists below PKR 57; (4) the discovered issue price may be below the cap, changing the allocation and refund; and (5) the broker’s margin terms may allow forced liquidation or penal charges. The client should also consider capital gains tax and the risk of being a forced seller if liquidity is needed.