CEFs have an underlying portfolio of securities. From this portfolio, a net asset value (NAV) can be derived.
NAV = (assets – liabilities) / shares outstanding
the investment portfolio primarily, if not solely, comprises the assets. For leveraged CEFs, the leverage itself is the bulk of the liabilities.
CEFs trade on an exchange. This means that they have a share price, which is set by the market. These two prices, the NAV and the share price, are rarely the same, and when they are, it's only by coincidence.
The differences between the share price and the NAV create discounts and premiums. Shares are said to trade at a "discount" when the share price is lower than the NAV. The discount is commonly denoted with a minus ("-") sign. Shares are said to trade at a "premium" when the share price is higher than the NAV. The premium is commonly denoted with a plus ("+") sign. The calculation is (Share price ÷ NAV) – 1. Examples:
Share price = $19.00
NAV = $20.00
Discount = ($19.00 ÷ $20.00) – 1 = 0.95 – 1 = -0.05 = -5.0%
Share price = $12.00
NAV = $10.00
Premium = ($12.00 ÷ $10.00) – 1 = 1.20 – 1 = +0.20 = +20.0%
What gives rise to discounts and premiums? Why is the market seemingly inefficient?
Efficient market hypothesists have tried to explain discounts and premiums for years with myriad explanations. Most commonly, the reason a CEF trades at any given discount or premium is related to the fund's distribution rate, regardless of the source of the distribution. (Some fund families seemingly abuse the knowledge that this occurs to justify--in their minds, not ours--the use of destructive return of capital.)
Other typical reasons for premiums and discounts include:
Whatever the reason for a CEF's discount or premium pricing, it is crucial that CEF investors realize that discounts and premiums exist.
At Morningstar, when comparing a share price with a NAV, we often refer to discounts and premiums as "Absolute Discounts" and "Absolute Premiums."
We do this because, as discussed in another Solution Center presentation, there are other ways to look at discounts and premiums. For instance, if we compare a CEF's discount to its average historic discount, this is what we refer to as a "Relative Discount."
Most long-term investors just look at Absolute Discounts and Absolute Premiums. But when considering valuation, it's important to look at Relative Discounts and Relative Premiums.
There are three things to consider regarding discounts and premiums:
Absolute Discounts
The standard thinking for CEFs is to focus on funds trading at discounts and to avoid funds trading at premiums. We think this maxim is simplistic and could lead to unrealistic expectations for investors.
All that matters for a CEF investor is the share price at which the CEF was purchased and the subsequent total return. Discounts and premiums wax and wane over time. For instance, if a CEF is trading at a 15% discount, people often tout this as an opportunity to buy $1.00 of assets for $0.85. The unstated premise is that eventually the price will reach $1.00.
This is problematic. Nothing mandates that a share price, even discounted at 15% to NAV, must converge to its NAV over time. Furthermore, the NAV could decline to $0.85 (or lower).
We recommend not purchasing CEFs at absolute discounts in the hope that the share price will converge to a higher NAV. The primary benefit of purchasing a CEF at an absolute discount is for income-seeking investors to enhance their yield.
"Yield Enhancement" and Absolute Discounts
Putting aside sources of distribution, let's assume that a fund's underlying portfolio at NAV yields 10%.
Distribution = $1.00 per share
Net Asset Value = $10.00 per share
Distribution Rate at Net Asset Value = $1.00 / $10.00 = 10%.
Let's further assume that the shares trade at a 10% absolute discount.
Net Asset Value = $10.00 per share
Share Price = $9.00 per share
Absolute Discount = (share price – NAV)/NAV = ($9 - $10) / $10 = -10%
Because they are buying at a discount, investors purchasing these shares will get a higher yield:
Distribution = $1.00 per share
Share Price = $9.00 per share
Distribution Rate at Share Price = $1.00 / $9.00 = 11.1%
So, "Yield Enhancement" = Dist Rate (Share Price) / Dist Rate (NAV) = 11.1% / 10% = 1.1%
Buying $1.00 of assets for $0.85 isn't necessarily a bargain.
The table below sets forth the nine scenarios that can play out when purchasing shares at an absolute discount.

How the Absolute Discount Can Narrow
How the Absolute Discount Can Narrow
4. NAV is steady and share price rises: This is the scenario implied by investors who say they buy $1.00 for $0.85.
5. NAV rises and share price rises even faster: This is the best of all possible scenarios. Of the nine scenarios, this occurs in only half of one (because the NAV could rise faster than an increasing share price, meaning the discount would widen).
Also note the several scenarios where the share price declines or the absolute discount widens. Using absolute discounts as the sole method of finding undervalued CEFs is akin to investing in a value trap.
On the flip side, there is no reason to avoid all CEFs trading at an absolute premium.
If you are purchasing shares at an absolute premium, you are taking on risk. Your capital could decline, even if the underlying portfolio performs well.
This isn't to say you should never invest at a premium. Most CEF investors have no qualms investing at slight premiums to NAV. But absolute premiums above 10% should really give you pause.
The table below shows the nine scenarios that can play out when purchasing shares at an absolute premium.

If you find yourself in a situation where the share price is rising and the NAV is declining, you are likely in what Warren Buffett might call a "greater fool" scenario. You may want to consider taking your profits and finding a more suitable investment.
Note that only one half of one scenario leads to a rising share price and a narrowing premium.
Unwittingly purchasing shares at an absolute premium, only to see the share price decline as the premium narrows, is the number one reason people have a poor experience with CEF investing.
Key Takeaways
Key Takeaways