When a fund or a holding company reports what it is "worth," the number underneath is almost always net asset value. It is one of the most useful figures in investing, and one of the most misunderstood, because the price you actually pay for a fund is not always the same as the value it holds. Knowing when those two numbers diverge, and why, is worth real money.

The definition is simple

Net asset value, or NAV, is exactly what it sounds like. The US Securities and Exchange Commission defines it as "the company's total assets minus its total liabilities." To get the per-share figure, you divide that total by the number of shares outstanding.

So if a fund owns investments worth $110 million, owes $10 million, and has 10 million shares, its net assets are $100 million and its NAV is $10 a share. That is the honest, arithmetic value of one share of the fund: your slice of what it owns after what it owes.

For mutual funds, price equals value

For an ordinary open-end mutual fund, the price and the NAV are essentially the same thing. The SEC requires these funds to calculate their NAV at least once every day, "typically after the major U.S. exchanges close," and you buy and sell at that day-end figure.

That is because a mutual fund is redeemable. You buy new shares from the fund and sell them back to the fund, both at NAV (adjusted for any purchase or redemption fees). There is no separate market haggling over the price. The value of the underlying holdings is the price, recalculated daily.

For exchange-traded funds and closed-end funds, price can drift

The picture changes for funds that trade on a stock exchange like a normal share, where buyers and sellers set the price minute by minute. Here the market price and the NAV are two different numbers, and they do not have to match.

Exchange-traded funds (ETFs) usually stay very close to NAV. That is by design: large institutions can create and redeem ETF shares in bulk directly with the fund, and if the market price strays far from the value of the holdings, they can profit by arbitraging the gap, which pulls the price back toward NAV. The mechanism is not perfect, but for mainstream ETFs it keeps price and value tightly aligned.

Closed-end funds are the interesting case. They issue a fixed number of shares that then trade on an exchange, and, unlike mutual funds, their shares are, in the SEC's words, "not 'redeemable'," meaning the fund is not required to buy them back. With no redemption mechanism and no easy arbitrage, the market price is simply whatever investors will pay, and that can sit meaningfully above or below the NAV.

Premium and discount, defined

When a fund's market price is higher than its NAV, it trades at a premium: you are paying more than the underlying holdings are worth. When the price is lower than NAV, it trades at a discount: you are buying the holdings for less than their stated value.

Both happen, and for reasons that are partly rational and partly about sentiment. A fund might trade at a premium because investors prize its manager, its strategy, or access to an asset they cannot easily buy directly. It might trade at a discount because the market is skeptical of the holdings, worried about fees, or simply out of love with the sector. A persistent discount can also reflect a structural problem: if the wrapper adds cost without adding value, why pay full price for it?

Why this matters right now

The premium-and-discount question is not academic. It has just played out, brutally, in the world of corporate crypto treasuries. Companies that exist mainly to hold bitcoin are effectively single-asset holding vehicles, and their shares can trade at a premium or a discount to the value of the coins they own. When the London-listed company Satsuma's shares fell so far that the stock was worth less than its bitcoin, the discount became the whole story: shareholders voted to sell the bitcoin and wind the company up, because owning the shares had become a worse deal than owning the asset directly.

That is the general lesson in miniature. A discount to NAV can be an opportunity, a chance to buy a dollar of assets for ninety cents, or a warning that the market sees something wrong with the structure. A premium can reflect genuine added value, or it can be a sign you are overpaying for a wrapper around assets you could buy more cheaply yourself.

The takeaway

None of this is investment advice, and NAV is not a complete valuation on its own. But it is the right starting point. Before buying any fund or asset-holding company, the useful questions are: what is its net asset value, is the market price above or below it, and if there is a gap, do you understand why. For a plain mutual fund the answer is easy, price is value. For anything that trades on an exchange, from ETFs to closed-end funds to crypto treasury companies, the price and the value are two separate numbers, and the space between them is where both the bargains and the traps live.