Closed-End Fund Discounts: Why You Can Buy a Dollar of Assets for 90 Cents

A closed-end fund shows up on a yield screen at 7.1%. You look closer: the market price is $9.00, and the fund’s own website says net asset value is $10.00 a share. So you buy 500 shares for $4,500 and go to bed owning $5,000 of bonds. The screen was not lying, and neither was the fund. Both numbers are true at once, and the gap between them is doing less for you than it looks like.

Here is what the $1.00 gap actually buys. It does not hand you $500. It hands you the income stream from $5,000 of assets in exchange for $4,500, which lifts your yield by 11.1% — not 10% — and that is the whole mechanical benefit unless the discount narrows before you sell. Meanwhile the fund’s 1.50% expense ratio is charged against the $10.00 NAV, so the $0.15 a share leaving each year is 1.67% of the $9.00 you paid. Part of the discount is the market pricing that fee drag correctly, which is another way of saying you did not find $500 lying in the street.

Where a discount comes from, and why nothing removes it

A closed-end fund sells a fixed number of shares once, at launch, and then stops. It never creates new shares for incoming buyers and never redeems shares for departing ones. Those shares trade on an exchange all day like any stock, priced by whoever wants in and whoever wants out, with no obligation to agree with what the portfolio is worth.

NAV is portfolio value divided by shares outstanding, published daily by the fund. Market price is what you pay. The discount is (price − NAV) / NAV, so your 500 shares sit at −10%.

Compare an ETF. Authorised participants can create and redeem ETF shares in kind, so if an ETF slips below its basket value, a firm buys the ETF, redeems it for the underlying securities, sells those, and pockets the difference. That trade, repeated by people paid to notice it, squeezes the gap to pennies. Your closed-end fund has no such valve. Nobody can turn its shares back into bonds. The gap can sit at 12% for a decade and nothing in the structure objects.

What the discount does to your income

Distributions are declared on the portfolio, not on your purchase price. That single fact drives everything else.

The fund holds assets yielding 6.0% on NAV. Before fees, that is $0.60 a share a year on $10.00. The 1.50% expense ratio takes $0.15, leaving $0.45 paid out per share — $225 a year on your 500 shares. Someone who bought the identical fund at NAV paid $5,000 for that same $225, a 4.50% yield. You paid $4,500, so your yield is $225 / $4,500 = 5.00%.

The uplift is 5.00 / 4.50 = 1.111. Eleven point one percent, not ten. The formula is 1 / (1 − d), not 1 + d, and the difference widens fast as discounts deepen. At a 20% discount the uplift is 25%. At 30% it is 42.9%. That curve bends upward because you are dividing by a shrinking denominator, and it explains why deep-discount funds dominate yield screens — including the ones where something is badly wrong. A screen sorting on yield cannot tell a bargain from a warning.

The fee is charged on ten dollars, not on nine

This is where the common advice inverts the arithmetic. You will read that buying at a discount lowers your expense ratio, that your 1.50% becomes 1.35%. It goes the other way.

Fees come out of NAV in dollars. On $10.00 of NAV, 1.50% is $0.15 a share, $75 a year across your 500 shares. Your capital is $4,500. So $75 is 1.67% of your money, every year, and it would be 1.67% whether or not you enjoyed the discount. Relative to what you actually put in, the fee bite is larger, not smaller.

Both facts hold simultaneously: your fee percentage went up, and your yield percentage went up by the same 1/(1−d) factor. Net yield on price is simply (gross NAV yield − expense ratio) / (1 − discount). Income improves. The fee did not get cheaper.

That formula also sets the limit on what a discount can rescue. Since the discount scales fees and income together, it cannot outrun a large enough fee gap:

Assumes a portfolio yielding 6.0% of NAV, all net income distributed, no leverage, no trading costs, price and NAV unchanged. Illustration only.

Read down the far right column and across the top row. A 3.00% fund bought at a 25% discount yields 4.00% on your money; a 0.50% fund bought at full NAV yields 5.50%. A quarter off the price does not offset a 250-basis-point fee gap, and it is not close.

The SEC’s Investor.gov explainer on mutual fund fees and expenses works through why a small annual percentage compounds into a large dollar figure over a long hold. Closed-end funds carry the same fee categories, frequently at the higher end of the range, and often add interest expense from borrowing on top of the stated ratio.

Then the discount moves

Your total return has three moving parts: the cash you collect, the change in NAV, and the change in the discount. Most people model the first two, ignore the third, and are then puzzled about where the year went.

Hold NAV flat at $10.00, collect the $0.45 a share, and sell twelve months later. Everything depends on the discount you sell into:

NAV held at $10.00 throughout, one-year hold, taxes and commissions excluded. Illustration only.

Work the 18% row by hand: sale price $10.00 × 0.82 = $8.20, capital change $8.20 − $9.00 = −$0.80, cash received $0.45, net −$0.35, and −$0.35 / $9.00 = −3.9%. Across 500 shares that is $175 gone.

Nothing went wrong with the portfolio in that row. The bonds performed exactly as expected, the manager collected exactly the stated fee, the fund paid every promised cent — and you lost money because other people decided the shares were worth eight points less than they were in March. Discount risk is a market risk that exists purely because share supply is fixed and sentiment is not.

Waiting for the gap to close is not free

Suppose you skip this fund and buy a different one at a 12% discount, $8.80 against $10.00 NAV, on the view that it will drift back to 4%. If it gets there, the price is $9.60 and you have made $0.80 on $8.80 — a 9.09% gain from the discount alone.

Once. Not per year.

Take one year to get there and that is 9.09% annualised. Two years, 4.45%. Five years, 1.76%. Ten years, 0.87% — less per year than half the expense ratio you paid while waiting. The discount gain is an event; the fee is a subscription.

What actually causes the event is worth naming, because it is rarely a change of heart in the market. Boards convert funds to open-end structures, run tender offers at or near NAV, or liquidate the portfolio outright. Absent a corporate action like those, or a genuine shift in demand, a discount is not a coiled spring. It is a price.

Where these numbers break

Every figure above rests on assumptions that are often false for real funds.

Leverage. Many closed-end funds borrow, commonly 20% to 35% of assets. A 6% NAV yield may be 4% on unlevered holdings amplified by debt, and the interest cost is typically excluded from the headline expense ratio while being entirely real. When short rates rise, interest expense rises and distributions get cut. Add leverage and both the yield and the NAV swings get bigger than anything modelled here.

Return of capital. A fund can pay $0.60 while earning $0.40, funding the difference from principal. NAV drops by the shortfall. Your yield-on-price stays flattering while your assets shrink underneath it. The fund’s Section 19(a) notice splits each distribution into income, capital gains, and return of capital — and destructive return of capital makes the income tables above meaningless rather than merely optimistic.

The spread. Closed-end funds are often thinly traded. A 40-cent spread on a $9.00 share costs $0.40 a share round trip, 4.4% of your purchase price, $200 across 500 shares. That is most of a year’s distribution consumed by entering and leaving, and it appears in none of the tables.

Tax. Everything here is pre-tax. If the $225 is ordinary income at a 24% federal marginal rate, you keep $171 — a 3.80% yield on your $4,500, not 5.00%. Municipal bond closed-end funds change that arithmetic substantially.

Stale NAV. Funds holding illiquid credit, private assets, or thinly traded foreign securities may carry marks that come from a model rather than a trade. A 20% discount against a NAV that is 15% too optimistic is a 5% discount you cannot see.

The discount as a message. A persistent wide gap often reflects a collective judgment about the manager, the fee level, the borrowing, or whether the distribution is sustainable. Treating it as a pricing error assumes you know something the marginal seller does not.

What this does not tell you

It does not tell you whether any discount level is attractive, because that depends on what the portfolio is worth, and no portfolio has been valued here.

It holds NAV constant, which reality does not. A leveraged credit or equity fund can see its discount narrow from 10% to 5% while NAV falls 20%, and that is a losing year with a cheerful-looking discount chart. Discount analysis is a second-order adjustment on top of an asset-class decision, never a replacement for one.

The flat 6.0% gross NAV yield is a device for clean arithmetic. Actual closed-end fund yields run from roughly 2% to well above 12% depending on strategy, and the high end usually involves leverage, return of capital, or both.

Nothing here covers relative discount analysis — how a fund’s current gap compares with its own multi-year average or with funds holding similar assets. That is the work most closed-end fund investors actually do, and it needs data series not computed here.

FAQ

Why do closed-end funds trade below NAV?

Because no mechanism forces convergence. Share count is fixed, so there is no create-and-redeem arbitrage as there is with ETFs. Fee levels above what buyers will pay for, doubts about future NAV, thin trading in the shares themselves, and plain lack of demand all get cited. Gaps persist for years and vary widely between funds holding near-identical assets, which is why no single explanation has settled the question.

Is a 10% discount to NAV a good deal?

It raises your distribution yield by 11.1% versus buying the same portfolio at NAV. Whether that pays you enough for the fund’s fees, its borrowing, and the chance the gap widens is a judgment about that specific fund. A 10% discount on a fund charging 2.50% yields 3.89% on your money; no discount at all on a fund charging 0.50% yields 5.50%.

How much do I lose if the discount widens by five points?

Buy at $9.00 against $10.00 NAV and watch it go to 15%, and the price is $8.50. That is $0.50 a share on $9.00, 5.56% of your capital, $250 on a 500-share position. Collect $0.45 of distributions over the same year and you are down $0.05 a share, a −0.6% return with NAV unchanged.

Do closed-end fund discounts eventually close?

Not necessarily, and nothing in the structure requires it. Gaps close when a board opens the fund, tenders for shares, or liquidates, or when buying demand shifts. Time works against you either way: a 12% discount narrowing to 4% is a one-time 9.09% gain, worth 1.76% a year if it takes five years and 0.87% a year if it takes ten.

Does buying at a discount lower the expense ratio I pay?

No — it raises it as a share of your capital. Fees are deducted from NAV in dollars, so 1.50% on $10.00 NAV is $0.15 a year whatever you paid. Buy at $9.00 and that $0.15 is 1.67% of your money. Your income rises by the same 1/(1−d) factor, so net yield still improves, but the fee percentage on your capital goes up, not down.

What discount offsets a fund charging 1% more per year?

On a portfolio yielding 6.0% gross, roughly 18%. A fund charging 0.50% bought at NAV distributes $0.55 on $10.00 for a 5.50% yield; a fund charging 1.50% distributes $0.45, and $0.45 / $8.18 is also 5.50%. That works only while you hold at that entry price, and it buys you equal income while leaving you exposed to the gap widening further.

What to pull before the discount number means anything

Three documents change the picture more than the discount does. The Section 19(a) notice shows how much of the payout is return of capital. The annual report’s statement of operations separates interest expense on borrowings from the management fee, which the headline expense ratio usually blurs. And the fund’s own discount history says whether today’s 10% is unusually wide for this fund or unusually narrow — comparing against zero tells you almost nothing.

Then check the bid-ask spread and average daily volume. A wide spread on a thin fund can eat a large slice of the very discount you thought you were capturing.

This article is general information, not financial advice. See our disclaimer.

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