Ravira Holdings owns 40% of listed Ravira Motors, worth Rs 20,000 crore in total, has net debt of Rs 500 crore and no other assets, and a market value of Rs 5,000 crore. What is the holding company discount, and how would you trade it?

Holdings trades at a 33.3% discount: Rs 5,000 crore against net asset value of Rs 7,500 crore. The stake is worth Rs 8,000 crore and debt takes Rs 500 crore. To trade it, go long Holdings and short Ravira Motors in the look-through ratio, Rs 1.6 of Motors per Rs 1 of Holdings, so moves in Motors roughly cancel. If the discount narrows to 20% with Motors flat, the long gains 20%.

Add up what it owns and take off what it owes. 40% of Rs 20,000 crore is Rs 8,000 crore; less Rs 500 crore of net debt, the net asset valueFor a holding company, the market value of what it owns less its debt: what shareholders would get if everything were sold and the debts paid. is Rs 7,500 crore. The market pays Rs 5,000 crore, so a buyer of Holdings gets Rs 1.50 of assets for every rupee. It is like a sealed box known to contain Rs 150 that sells for Rs 100: the question is why nobody is allowed, or willing, to open the box.

Because a Holdings shareholder cannot reach the stake. The promoter controls both companies and has no reason to distribute the Motors shares, so the discount is the price of having no way to unlock the value. Holding companies also carry their own costs, possible tax on any sale of the stake, and thinner trading than the company they own. None of these explain a full third on its own; together they explain why the discount has lasted for years, and why a trade on it needs a reason to expect change, such as a buyback at Holdings, a merger of the two or a distribution of the shares.

Buy Holdings and short what it owns. Each Rs 1 of Holdings stock carries Rs 1.60 of Motors and Rs 0.10 of debt, so a Rs 10 crore long is hedged with a Rs 16 crore short of Motors. If the discount narrows from 33.3% to 20% with Motors unchanged, Holdings rises to 80% of Rs 7,500 crore, Rs 6,000 crore, a 20% gain: Rs 2.0 crore on the long, nothing on the short. If Motors falls 10% and the gap stays at Rs 2,500 crore, Holdings falls 16%, the long loses Rs 1.6 crore and the short gains Rs 1.6 crore: a wash.

The last row is the one to understand. If the market keeps the discount at a third in percentage terms rather than in rupees, Holdings moves about 1.07 times Motors, not 1.6 times, so the 1.6x short over-hedges: you make money when Motors falls and lose when it rises. Desks pick the ratio from how the discount has behaved historically. Close with the cost: borrowing Motors to short it costs a fee every year, and a discount that does not move for three years turns a clever trade into a slow loss.