Forty Cents, Seven Years

2026-07-06T00:00:00+00:00

Buy a bankruptcy claim at 40 cents on the dollar. Get paid 60 cents. The pitch writes itself: 50% upside.

That version belongs in a teaser deck.

Add the missing line. If the 60 cents arrives after five years, the annualized return is roughly 8.4%, before objection risk, offsets, defective assignment documents, and administrative friction. If it arrives after seven years, the return falls to about 6.0%.

Nothing changed in the headline recovery. The calendar ate the return.

"Cents on the dollar" is a quotation convention, not a valuation method. A claim priced at 40 indicates where a seller was willing to stop waiting. It does not establish what the claim is worth.

The useful question is which year the money lands.

The file is the market</h2>
A trade claim is a creditor's right to payment from a debtor's estate. It can be transferred, with the mechanics governed by Federal Rule of Bankruptcy Procedure 3001(e). Where the transfer happens after a proof of claim has been filed, the transferee files evidence of it and the clerk notifies the original creditor, who has 21 days to object; a transfer made before any proof of claim requires no such filing. Nothing in the rule requires the price of an absolute transfer to be stated, and buyers routinely redact it.
That detail explains much of the opportunity and most of the danger. Price discovery is imperfect. There is no clean exchange tape to rescue a weak underwriting process.
The work is to determine whether the claim is disputed, identify possible offsets, review the assignment documents, estimate the estate's recovery, and build a plausible payment sequence. Then decide whether the remaining spread is compensation or bait.
This work appears scalable until you touch it. A large buyer can hire the legal competence. That does not make the economics attractive. A correct read on a small claim is still small, and a hundred little claims do not become one institutional position because someone added the face amounts in a spreadsheet. They remain a hundred document chains, each with its own weak link.
Capacity cuts narrowly. Large, clean claims attract specialist distressed buyers. Very small claims can cost more to review than the spread is worth. The usable territory lies between them: enough money to be worth the labor, not enough to support institutional machinery.

Face value is the wrong denominator</h2>
The lazy comparison is price against face amount. Forty cents against a dollar of claim. Cheap.
The useful version starts lower:
Value today = probability-weighted net recovery ÷ (1 + required return)^years
From there, deduct for documentation problems, objections, offsets, transfer friction, and the possibility that the expected payment year is polite fiction.
The quoted discount contains several charges: expected-recovery risk, delay, documentation and objection risk, illiquidity, and process friction. Only the excess after those deductions is potentially interesting. The rest are bills.
A seller accepting 40 cents may be acting rationally. Immediate liquidity can be worth more than a larger but uncertain payment years later. Selling converts a court process into cash and closes a receivable the seller may no longer want to administer. A wide discount does not prove carelessness. It may simply be the correct price of waiting.
This is where the headline can mislead. A claim at 55 cents with clean documentation and a shorter payment timeline may be cheaper on a risk-adjusted basis than a 40-cent claim tangled in an objection and several more years of delay.

Two files must both be clean</h2>
The work divides into two files.
The first is the estate file: expected recovery, payment timing, contingencies, and the reasons cash might remain unavailable even after the broad outcome becomes visible.
The second is the claim file: ownership, supporting documentation, objections, possible offsets, and whether the assignment establishes the buyer's right to receive payment.
Getting the estate recovery right is useless if the claim is impaired, offset, or badly assigned. A flawless assignment provides little comfort if the estate ultimately pays less or takes much longer than expected.
The scenario grid needs to be unpleasant enough to help. Model the base recovery in the base year, the same recovery several years late, a lower payout after an offset, and a reduced or delayed payment after an objection. A severe case for defective transfer documentation or disallowance is also required.
If the thesis survives only the clean row, that is not a mispricing. It is a wish with attachments.
The work usually ends on the item nobody wants to read twice: the assignment document.
The calendar is part of the security</h2>
Chapter 11 confirmation is usually faster than the folklore suggests — median time from filing to plan confirmation has run under a year, and the median asset case closes in roughly two years. The delay that matters to a claim buyer is not confirmation but the gap between confirmation and cash: claim reconciliation, reserve releases and interim-versus-final distributions can push actual payment years past the headline timeline. Underwrite the distribution date, not the confirmation date. "Often" is not "always," but it is enough to keep delay out of the footnotes.
Consider four hypothetical outcomes:
Purchase price</th> Recovery</th> Payment year</th> Annualized return</th></tr></thead>

40 cents</td> 60 cents</td> Year 5</td> ~8.4%</td></tr>
40 cents</td> 60 cents</td> Year 7</td> ~6.0%</td></tr>
40 cents</td> 50 cents</td> Year 5</td> ~4.6%</td></tr>
40 cents</td> 50 cents</td> Year 7</td> ~3.2%</td></tr> </tbody></table>
The 60-cent recovery is worth about 37 cents today at a 10% required return if it arrives in five years. At seven years, it is worth closer to 31 cents — before charging for a lower recovery, a challenged claim, messy assignment paperwork, or further delay.
A widening headline discount does not necessarily improve the opportunity. If the expected payment date keeps moving out, the quote can become cheaper while the present value deteriorates. Court speed is not a source of upside worth underwriting.
The table is the warning label.
Small size helps, then it tempts</h2>
Work that excludes larger capital for arithmetic reasons is the work worth doing. Bespoke review, poor price transparency, and limited capacity make size a filter. A large allocator passes because the file is too small to matter. A smaller buyer can afford to stop and read it.
Inconvenience can preserve an opportunity, but it cannot create value by itself.
Discounting 60 cents due in five years instead of next quarter is easy. The difficult part is proving that the 60 cents belongs to the claim actually purchased and that the transfer holds up through the payment process.
Size as though the wait runs until the estate distributes cash. The position has to work under a longer credible timeline and an adverse recovery case, rather than only under the tidy assumptions that make the spreadsheet presentable. Pass when competent review costs more than the remaining edge.
There is a flaw in the framework worth naming: every input above is a judgment wearing the costume of a number. The recovery percentage is an estimate, the payment year is an estimate, and the required return is a preference. Multiply three estimates together and the precision of the output is entirely decorative. The discipline is not in the model. It is in refusing the trade when the model's answer is close.
A market can be too annoying for institutions and still not pay enough to be worth the annoyance.
What remains after subtraction</h2>
Start with the exciting number: 40 cents on the dollar.
Now replace face value with probability-weighted recovery, discount the cash flow for a realistic number of years, and charge for objections, offsets, documentation defects, transfer friction, and limited interim liquidity. Administrative drag belongs in the calculation too, particularly when very little else is happening.
What remains must offer an acceptable annualized return under conservative assumptions. Complexity is useful only when it deters competing capital more than it impairs the ability to verify the asset.
If the legal file turns a quoted discount into dated, probability-weighted cash flows with enough margin left over, the claim is worth owning. Otherwise, the 40-cent claim goes back on the pile.

The Closed-End Fund Discount With a Stated Catalyst

2026-07-01T00:00:00+00:00

A closed-end fund reports net asset value of $10.00 a share. The stock trades at $8.50. Every screener flags a 15% discount, usually in a shade of green designed to make the arithmetic feel charitable.
The less decorative question is who is obligated to close the $1.50 gap, and when.
Usually, nobody. A closed-end fund has a fixed share count. Unlike an open-end fund or ETF, it has no daily creation and redemption mechanism tying the market price to NAV. You cannot hand the fund your shares and demand $10.00 of portfolio value. You can only sell them to another buyer, who may remain stubbornly attached to $8.50. The discount measures a gap that nothing in the structure is required to close, so it closes only when an event forces it.
That sends the work away from the screen and into the governing documents. What matters is termination provisions, required approvals, voting thresholds and anything permitting an extension. If liquidation is supposed to happen in twelve months, the useful question is how twelve becomes twenty-four.
Why the anomaly survives</h2>
This is not a newly discovered defect. Lee, Shleifer and Thaler documented the closed-end fund puzzle decades ago: funds launch at a premium, drift to a discount within months, and trade at discounts that move together across funds. Toward the end of their 1965–1985 sample, discounts commonly ran between 10% and 20%.
The persistence makes sense once you accept that seeing a gap does not give you the power to close it. Without redemption at NAV, ordinary arbitrage has no lever.
The level moves, and the level is not the point. CEF Advisors put the average traditional listed closed-end fund at roughly a 6.9% discount at the end of 2025, against a 25-year average nearer 4.9%, after discounts widened by almost three percentage points over the course of that year. Under stress the gap becomes less polite still: at the March 2020 trough, average discounts across the sector reached levels not seen since the 2008 crisis, then narrowed sharply within weeks.
Sentiment can close a wide discount quickly. It can also leave one untouched for years. Neither outcome comes with a payment schedule.
Dates are not equally binding</h2>
Rank catalysts by enforceability, not by the confidence of the announcement.
A stated termination date in a term or target-term fund can create the cleanest structure, provided the governing documents do not offer an easy escape. As maturity approaches, the discount tends to narrow because holders anticipate receiving NAV when the portfolio is liquidated. The calendar begins doing work that sentiment previously refused to do.
"Tends to" carries a position in that sentence. NAV can fall. A fund can seek to extend or restructure its term. The stated date matters only after you understand who can change it and what approval is required.
An approved liquidation with a defined process is useful but less tidy. Assets still need to be sold, expenses paid and contingencies resolved. A proposed termination requiring a shareholder vote adds quorum, approval and timing risk. An activist campaign seeking a tender, open-ending or liquidation adds a proxy contest to all of that.
Somewhere below all of those sits "evaluating strategic alternatives," dressed for a meeting that may never occur.
The patience calculation</h2>
Buy at $8.50 against $10.00 of NAV and receive $10.00 in liquidation, and the gross return on cost is not 15%. It is 17.6%.
More generally:
`Gross return = (k − (1 − d)) / (1 − d)</code>`
`Here, d</code> is the starting discount and k</code> is the fraction of NAV actually received. For a full liquidation, k</code> is approximately 1.00. For a tender at 98.5% of NAV, it is 0.985 on the shares accepted.`
`The formula is the easy part, and the clock is where the damage happens. If the $10.00 arrives in three years rather than tomorrow, that 17.6% gross return becomes roughly 5.6% annualized before NAV drift and wind-down expenses. A modest discount closing quickly can be worth more than a wide discount attached to an editable timetable.`
`NAV risk remains. If the portfolio falls 20% during the wait, liquidation at $8.00 produces a loss against an $8.50 purchase even though the fund closes the discount perfectly. Convergence can work while the investment fails.`
`So the 15% displayed by the screen is not an expected return. It is the first number in a calculation designed to make the opportunity look worse.`
The proration trap</h2> Activists commonly seek self-tenders priced near par — typically 98.5% to 99.5% of NAV — for a portion of shares outstanding that has ranged from under 20% to as much as 70%. Those terms look close enough to par to encourage optimistic arithmetic. Suppose the purchase happens at 85% of NAV and the tender clears at 98.5%. The accepted shares gain about 15.9%. If only 30% of the position is accepted, however, that contributes roughly 4.8% across the whole position before any change in the value of the residual. The other 70% remains inside the same fixed-share wrapper, discounted, waiting for the next event. That residual is the part the headline leaves unattended. Closed-end fund activism is dominated by a handful of specialists — Saba Capital, Karpus Investment Management, Bulldog Investors and City of London Investment Management among them. The economics explain the concentration: proxy work and legal costs need a fund large enough to justify them. The long tail of smaller funds can offer wider discounts while remaining too inconsequential to attract a serious campaign. The legal machinery can change too. On June 11, 2026, the Supreme Court held 6–3 in FS Credit Opportunities Corp. v. Saba Capital Master Fund that Section 47(b) of the Investment Company Act creates no private right of action. That removed a federal route activists had used against control-share bylaws and classified boards, pushing campaigns toward state-court proxy fights with weaker economics. A catalyst dependent on yesterday's legal playbook deserves to be priced accordingly. Capacity is part of the return</h2> This structure suits a small allocator because the work does not scale cleanly. You do not need to finance a proxy contest or own enough shares to command a board's attention. You can wait for an existing catalyst, verify its mechanics and build a position small enough for the market available. The limit arrives quickly. In a thin fund, buying can narrow the discount before the position is complete. The quoted opportunity may exist for the first few orders rather than for all the capital anyone would prefer to deploy. Blockholders deserve similar suspicion. Barclay, Holderness and Pontiff (1993) reported average discounts around 14% for funds with blockholders, against something closer to 4% for those without. One study is not a law of nature, and the figure is drawn from a particular sample in a particular era, but the mechanism is credible: a large holder can be trapped inventory rather than informed sponsorship. A position immaterial to its owner may still be enormous relative to the market underneath it. That is the capacity question in its least glamorous form: how much can be bought before the buyer becomes the future seller the discount was warning about? Where the payoff is written</h2> Before buying against a closed-end fund discount, five answers are worth having: What fraction of NAV can the catalyst return?</li> On what date?</li> Who can amend or delay that date?</li> What vote or approval remains outstanding?</li> How much can fit before the buying itself consumes the spread?</li> </ol> Raw discount and distribution yield come later. They are visible, sortable and therefore heavily competed over. The useful information is usually buried in the part describing who must act, what they are required to do and how long they are allowed to postpone it. None of which makes the framework reliable. It ranks catalysts by enforceability, which is a polite way of saying it ranks them by how the documents read on the day they were signed — and documents get amended by people with better lawyers and more time than you. A tidy hierarchy of dates is still a hierarchy of promises. A $1.50 gap is attractive only after someone else has lost the right to leave it open forever.

Purchase price</th>	Recovery</th>	Payment year</th>	Annualized return</th></tr></thead>
40 cents</td>	60 cents</td>	Year 5</td>	~8.4%</td></tr>
40 cents</td>	60 cents</td>	Year 7</td>	~6.0%</td></tr>
40 cents</td>	50 cents</td>	Year 5</td>	~4.6%</td></tr>
40 cents</td>	50 cents</td>	Year 7</td>	~3.2%</td></tr> </tbody></table> The 60-cent recovery is worth about 37 cents today at a 10% required return if it arrives in five years. At seven years, it is worth closer to 31 cents — before charging for a lower recovery, a challenged claim, messy assignment paperwork, or further delay.</p> A widening headline discount does not necessarily improve the opportunity. If the expected payment date keeps moving out, the quote can become cheaper while the present value deteriorates. Court speed is not a source of upside worth underwriting.</p> The table is the warning label.</p> Small size helps, then it tempts</h2> Work that excludes larger capital for arithmetic reasons is the work worth doing. Bespoke review, poor price transparency, and limited capacity make size a filter. A large allocator passes because the file is too small to matter. A smaller buyer can afford to stop and read it.</p> Inconvenience can preserve an opportunity, but it cannot create value by itself.</p> Discounting 60 cents due in five years instead of next quarter is easy. The difficult part is proving that the 60 cents belongs to the claim actually purchased and that the transfer holds up through the payment process.</p> Size as though the wait runs until the estate distributes cash. The position has to work under a longer credible timeline and an adverse recovery case, rather than only under the tidy assumptions that make the spreadsheet presentable. Pass when competent review costs more than the remaining edge.</p> There is a flaw in the framework worth naming: every input above is a judgment wearing the costume of a number. The recovery percentage is an estimate, the payment year is an estimate, and the required return is a preference. Multiply three estimates together and the precision of the output is entirely decorative. The discipline is not in the model. It is in refusing the trade when the model's answer is close.</p> A market can be too annoying for institutions and still not pay enough to be worth the annoyance.</p> What remains after subtraction</h2> Start with the exciting number: 40 cents on the dollar.</p> Now replace face value with probability-weighted recovery, discount the cash flow for a realistic number of years, and charge for objections, offsets, documentation defects, transfer friction, and limited interim liquidity. Administrative drag belongs in the calculation too, particularly when very little else is happening.</p> What remains must offer an acceptable annualized return under conservative assumptions. Complexity is useful only when it deters competing capital more than it impairs the ability to verify the asset.</p> If the legal file turns a quoted discount into dated, probability-weighted cash flows with enough margin left over, the claim is worth owning. Otherwise, the 40-cent claim goes back on the pile.</p> The Closed-End Fund Discount With a Stated Catalyst 2026-07-01T00:00:00+00:00 A closed-end fund reports net asset value of $10.00 a share. The stock trades at $8.50. Every screener flags a 15% discount, usually in a shade of green designed to make the arithmetic feel charitable.</p> The less decorative question is who is obligated to close the $1.50 gap, and when.</p> Usually, nobody. A closed-end fund has a fixed share count. Unlike an open-end fund or ETF, it has no daily creation and redemption mechanism tying the market price to NAV. You cannot hand the fund your shares and demand $10.00 of portfolio value. You can only sell them to another buyer, who may remain stubbornly attached to $8.50. The discount measures a gap that nothing in the structure is required to close, so it closes only when an event forces it.</p> That sends the work away from the screen and into the governing documents. What matters is termination provisions, required approvals, voting thresholds and anything permitting an extension. If liquidation is supposed to happen in twelve months, the useful question is how twelve becomes twenty-four.</p> Why the anomaly survives</h2> This is not a newly discovered defect. Lee, Shleifer and Thaler documented the closed-end fund puzzle decades ago: funds launch at a premium, drift to a discount within months, and trade at discounts that move together across funds. Toward the end of their 1965–1985 sample, discounts commonly ran between 10% and 20%.</p> The persistence makes sense once you accept that seeing a gap does not give you the power to close it. Without redemption at NAV, ordinary arbitrage has no lever.</p> The level moves, and the level is not the point. CEF Advisors put the average traditional listed closed-end fund at roughly a 6.9% discount at the end of 2025, against a 25-year average nearer 4.9%, after discounts widened by almost three percentage points over the course of that year. Under stress the gap becomes less polite still: at the March 2020 trough, average discounts across the sector reached levels not seen since the 2008 crisis, then narrowed sharply within weeks.</p> Sentiment can close a wide discount quickly. It can also leave one untouched for years. Neither outcome comes with a payment schedule.</p> Dates are not equally binding</h2> Rank catalysts by enforceability, not by the confidence of the announcement.</p> A stated termination date in a term or target-term fund can create the cleanest structure, provided the governing documents do not offer an easy escape. As maturity approaches, the discount tends to narrow because holders anticipate receiving NAV when the portfolio is liquidated. The calendar begins doing work that sentiment previously refused to do.</p> "Tends to" carries a position in that sentence. NAV can fall. A fund can seek to extend or restructure its term. The stated date matters only after you understand who can change it and what approval is required.</p> An approved liquidation with a defined process is useful but less tidy. Assets still need to be sold, expenses paid and contingencies resolved. A proposed termination requiring a shareholder vote adds quorum, approval and timing risk. An activist campaign seeking a tender, open-ending or liquidation adds a proxy contest to all of that.</p> Somewhere below all of those sits "evaluating strategic alternatives," dressed for a meeting that may never occur.</p> The patience calculation</h2> Buy at $8.50 against $10.00 of NAV and receive $10.00 in liquidation, and the gross return on cost is not 15%. It is 17.6%.</p> More generally:</p> `Gross return = (k − (1 − d)) / (1 − d)</code></p>` `Here, d</code> is the starting discount and k</code> is the fraction of NAV actually received. For a full liquidation, k</code> is approximately 1.00. For a tender at 98.5% of NAV, it is 0.985 on the shares accepted.</p>` `The formula is the easy part, and the clock is where the damage happens. If the $10.00 arrives in three years rather than tomorrow, that 17.6% gross return becomes roughly 5.6% annualized before NAV drift and wind-down expenses. A modest discount closing quickly can be worth more than a wide discount attached to an editable timetable.</p>` `NAV risk remains. If the portfolio falls 20% during the wait, liquidation at $8.00 produces a loss against an $8.50 purchase even though the fund closes the discount perfectly. Convergence can work while the investment fails.</p>` `So the 15% displayed by the screen is not an expected return. It is the first number in a calculation designed to make the opportunity look worse.</p>` The proration trap</h2> Activists commonly seek self-tenders priced near par — typically 98.5% to 99.5% of NAV — for a portion of shares outstanding that has ranged from under 20% to as much as 70%. Those terms look close enough to par to encourage optimistic arithmetic.</p> Suppose the purchase happens at 85% of NAV and the tender clears at 98.5%. The accepted shares gain about 15.9%. If only 30% of the position is accepted, however, that contributes roughly 4.8% across the whole position before any change in the value of the residual. The other 70% remains inside the same fixed-share wrapper, discounted, waiting for the next event.</p> That residual is the part the headline leaves unattended.</p> Closed-end fund activism is dominated by a handful of specialists — Saba Capital, Karpus Investment Management, Bulldog Investors and City of London Investment Management among them. The economics explain the concentration: proxy work and legal costs need a fund large enough to justify them. The long tail of smaller funds can offer wider discounts while remaining too inconsequential to attract a serious campaign.</p> The legal machinery can change too. On June 11, 2026, the Supreme Court held 6–3 in FS Credit Opportunities Corp. v. Saba Capital Master Fund</em> that Section 47(b) of the Investment Company Act creates no private right of action. That removed a federal route activists had used against control-share bylaws and classified boards, pushing campaigns toward state-court proxy fights with weaker economics. A catalyst dependent on yesterday's legal playbook deserves to be priced accordingly.</p> Capacity is part of the return</h2> This structure suits a small allocator because the work does not scale cleanly. You do not need to finance a proxy contest or own enough shares to command a board's attention. You can wait for an existing catalyst, verify its mechanics and build a position small enough for the market available.</p> The limit arrives quickly. In a thin fund, buying can narrow the discount before the position is complete. The quoted opportunity may exist for the first few orders rather than for all the capital anyone would prefer to deploy.</p> Blockholders deserve similar suspicion. Barclay, Holderness and Pontiff (1993) reported average discounts around 14% for funds with blockholders, against something closer to 4% for those without. One study is not a law of nature, and the figure is drawn from a particular sample in a particular era, but the mechanism is credible: a large holder can be trapped inventory rather than informed sponsorship. A position immaterial to its owner may still be enormous relative to the market underneath it.</p> That is the capacity question in its least glamorous form: how much can be bought before the buyer becomes the future seller the discount was warning about?</p> Where the payoff is written</h2> Before buying against a closed-end fund discount, five answers are worth having:</p> What fraction of NAV can the catalyst return?</li> On what date?</li> Who can amend or delay that date?</li> What vote or approval remains outstanding?</li> How much can fit before the buying itself consumes the spread?</li> </ol> Raw discount and distribution yield come later. They are visible, sortable and therefore heavily competed over. The useful information is usually buried in the part describing who must act, what they are required to do and how long they are allowed to postpone it.</p> None of which makes the framework reliable. It ranks catalysts by enforceability, which is a polite way of saying it ranks them by how the documents read on the day they were signed — and documents get amended by people with better lawyers and more time than you. A tidy hierarchy of dates is still a hierarchy of promises.</p> A $1.50 gap is attractive only after someone else has lost the right to leave it open forever.</p>

Direct Derek - Special Situations

Forty Cents, Seven Years

The Closed-End Fund Discount With a Stated Catalyst