Case studies · 1987
Black Monday and portfolio insurance
A dynamic hedging strategy that sold futures automatically as prices fell is widely blamed for amplifying the largest one-day stock market crash on record.
What happened
On Monday 19 October 1987, the Dow Jones Industrial Average (DJIA) fell 508 points, or 22.6%, in a single trading session, the largest one-day percentage fall in the index's history. The DJIA opened that day at 2,246.74 and closed at 1,738.74. The S&P 500 fell by about 20% over the same session, and the losses were not confined to the United States: within days, London's FTSE 100 was down 25% from the 19 October level, Tokyo's Nikkei fell 13.2%, and Hong Kong, whose exchange closed for four trading days after an 11% fall on 19 October, was down about 45.8% by the time the episode had run its course. The day became known as Black Monday, and most of the blame settled on a trading strategy called portfolio insurance.
A strategy sold as insurance
The name was misleading: portfolio insurance was not an insurance contract in the ordinary sense. It was a rule for trading stock-index futures, designed and sold to institutional investors from around 1981 by Hayne Leland and Mark Rubinstein of the University of California, Berkeley, together with John O'Brien, through the firm Leland O'Brien Rubinstein Associates (LOR). The design gave a large equity portfolio the same downside protection as a protective put, without the investor ever having to buy an option. A computer model told the manager to sell stock-index futures as the market fell, and to buy them back as the market rose. By October 1987, an estimated US$60 to US$90 billion of institutional equity was being managed this way, a figure that comes directly from the government inquiry that followed the crash.
The week before
The crash did not arrive without warning. The DJIA had climbed from 777 in August 1982 to a peak of 2,722 in August 1987, a five-year bull run. In the week before the crash, a proposed change to anti-takeover tax law and a larger-than-expected US trade deficit unsettled the market. On Friday 16 October, the DJIA fell 4.6% and the S&P 500 was down more than 9% for the week. That Friday close mattered more than it looked at the time: portfolio-insurance models, following the market's roughly 10% decline for the week, were now calling for a very large volume of further selling, and by the close only a small fraction of that selling had actually been executed. The unfilled sell orders, the "overhang", carried straight into the following Monday. On Saturday, US Treasury Secretary James Baker publicly threatened to let the dollar fall further, adding to the unease ahead of the weekend.
The selling wave
When trading opened on 19 October, portfolio insurers and a small number of other large sellers dominated volume from the start. Sell programmes from just three portfolio insurers accounted for nearly US$2 billion of stock selling and the equivalent of US$2.8 billion more in the futures market; a handful of mutual fund groups added roughly US$900 million in block stock sales on top. The S&P 500 futures contract fell by about 29% on the day, well beyond the roughly 20% fall in the cash index, opening a large and unusual discount between futures and the stocks they were meant to track. NYSE volume hit a record 604 million shares, about three times the recent daily average, and the exchange lost more than US$500 billion of market value, its largest one-day loss since 1914.
The Fed's response and the recovery
The following morning, before the US market opened, Federal Reserve Chairman Alan Greenspan issued a short public statement affirming the Fed's "readiness to serve as a source of liquidity". The Fed pushed the federal funds rate down and encouraged major banks to keep lending to securities firms that needed funding to meet margin calls. Within two trading sessions the DJIA had regained 288 points, about 57% of the Black Monday loss, and US markets went on to surpass their pre-crash highs within roughly two years.
The Brady Report and the regulatory fix
In January 1988, the Presidential Task Force on Market Mechanisms, chaired by Nicholas Brady and known as the Brady Report, delivered its findings to President Reagan. It identified portfolio-insurance selling and related index-arbitrage activity as the main amplifiers of the decline. It was also careful to stress that markets with little or no portfolio insurance also fell sharply that day, so the strategy is best understood as an amplifier of the crash, not its sole cause. Its central recommendation was that stocks, futures and options should be treated as one connected market, with unified margin rules and circuit breakers across all three. The New York Stock Exchange responded in October 1988 by adopting Rule 80A, which restricted automated index-arbitrage orders during large market moves, and later Rule 80B, which introduced market-wide trading halts after set point declines.
Why a hedge became a spiral
The strategy was, in effect, a continuously rebalanced short position in stock-index futures, adjusted to mimic the payoff of a long protective put: sell more futures as the market falls, buy futures back as it rises. That is delta hedging a synthetic put, but built with the futures market as the hedging instrument instead of with actual shares, and using trading rather than a paid premium to create the payoff. The basic distinction between a bought option and a trading strategy explains why the plan failed: a bought put is a contract whose payoff is fixed the moment the premium is paid; a synthetic put built by trading is a plan whose payoff depends entirely on being able to execute trades near the prices the model assumed. On 19 October, the market gapped down at the open and kept gapping through the day, so that assumption failed, and the "floor" portfolio insurance was supposed to provide was simply not there when it was needed.
The crash also exposed how fragile the link between futures and cash prices can be. Ordinarily, index arbitrageurs keep the stock-index futures price close to fair value by buying the cheaper side and selling the dearer one, an application of the same cost-of-carry logic used to price any futures contract. That mechanism assumes continuous two-way liquidity in both the futures market and the underlying stocks. On 19 and 20 October, many arbitrageurs pulled back, partly because order-processing systems could not keep up with volume and partly from plain fear, and the futures and cash markets decoupled, each amplifying the other's fall. At the same time, margin calls at the futures clearinghouse ran at roughly ten times their average size for the week. No clearing member actually defaulted, but meeting those calls competed for the same bank credit lines that firms also needed simply to keep trading: a margin-and-liquidity spiral that came close to seizing up the system even though it never technically broke.
The lasting lesson is not that portfolio insurance was irrational for any single investor. Selling futures as prices fell was, taken alone, a sensible way to limit downside risk. The problem was that thousands of institutions were running close to the same rule at close to the same time, so an individually sensible hedge turned into a wave of one-directional selling that no natural buyer was ready to absorb. The regulatory response, treating stocks, futures and options as a single interconnected market rather than three separate ones, traces directly back to that mechanism.
| Date | Event |
|---|---|
| Aug 1982 – Aug 1987 | DJIA rises from 777 to a peak of 2,722, a five-year bull market. |
| 1980/81 | Hayne Leland and Mark Rubinstein develop portfolio insurance; with John O'Brien they found LOR to sell it to institutions. |
| Wed 14 Oct 1987 | Anti-takeover tax legislation and a larger-than-expected US trade deficit hit share prices and the dollar. |
| Fri 16 Oct 1987 | DJIA falls 4.6% on the day; S&P 500 down over 9% for the week. Portfolio insurers carry a large unfilled sell "overhang" into the weekend. |
| Sat 17 Oct 1987 | US Treasury Secretary James Baker threatens to let the dollar fall further, unsettling markets ahead of Monday. |
| Mon 19 Oct 1987 | "Black Monday". DJIA falls 508 points (22.6%) in one session. S&P 500 futures fall about 29% versus roughly 20% for the cash market. |
| Tue 20 Oct 1987 | Fed Chairman Alan Greenspan affirms the Fed's "readiness to serve as a source of liquidity"; the Fed pushes rates down and leans on banks to keep lending. |
| Wed 21 Oct 1987 | DJIA regains 288 points, about 57% of the Black Monday decline. |
| Jan 1988 | The Brady Report identifies portfolio insurance and index-arbitrage selling as amplifiers of the crash and recommends unified circuit breakers and margin rules. |
| Oct 1988 | NYSE adopts Rule 80A (the index-arbitrage "collar") and later Rule 80B (market-wide trading halts). |
The mathematics
The scale of the unfilled sell "overhang" already carried into the opening bell on Black Monday can be fixed directly from the Brady Report's own worked example. Taking the low end of the Report's US$60 billion to US$90 billion range for assets under portfolio insurance, and its stated rule of thumb that a typical model calls for sales in excess of 20% of the portfolio once the market has fallen about 10%, which is roughly where it stood by Friday 16 October's close, gives the required sale.
$$\text{Required sale} = \$60\text{bn} \times 20\% = \$12\text{bn}$$
The Brady Report states that less than US$4 billion had actually been sold by Friday's close, which leaves the following overhang:
$$\text{Overhang} = \$12\text{bn} - \$4\text{bn} = \$8\text{bn}$$
Portfolio insurers had sold the equivalent of about US$2.1 billion of stock in the futures market on the Friday alone, so the overhang carried into Monday, expressed as a multiple of that, is:
$$\text{Overhang} \div \text{Friday's futures selling} = \$8\text{bn} \div \$2.1\text{bn} \approx 3.8\text{x}$$
Before Black Monday had even begun, the portfolio-insurance system as a whole was carrying an unfilled order to sell about US$8 billion of stock, roughly 3.8 times as much as it had managed to sell in the entire previous session. That is the "everyone sells the same way, at the same time" mechanism expressed as a number. It also shows why the scale mattered: an overhang this size, concentrated in a handful of institutions trading through a single instrument, is a liquidity problem on its own, whatever the merits of the underlying trading rule.
pi_base = 60e9 # USD, low end of the Brady Report's "$60 to $90 billion" range
sell_rule_pct = 0.20 # Brady Report: sell > 20% of book after a 10% market fall
required_sale = pi_base * sell_rule_pct
already_sold = 4e9 # USD, Brady Report's own figure for sales executed by Friday's close
pi_futures_sold_fri = 2.1e9 # USD equivalent, Friday 16 Oct futures selling by portfolio insurers
overhang = required_sale - already_sold
multiple = overhang / pi_futures_sold_fri
print(f"Required sale at the $60bn base: ${required_sale/1e9:.0f}bn")
print(f"Actually sold by Friday's close: ${already_sold/1e9:.0f}bn")
print(f"Overhang carried into Monday 19 October: ${overhang/1e9:.0f}bn")
print(f"That overhang was {multiple:.1f}x Friday's own futures selling")
Output
Required sale at the $60bn base: $12bn
Actually sold by Friday's close: $4bn
Overhang carried into Monday 19 October: $8bn
That overhang was 3.8x Friday's own futures selling
These are the Brady Report's own worked numbers (Chapter Four, p. 28), not a stylised classroom example. They describe the system-wide overhang, not any single fund's position.
Data and facts
| Quantity | Value | Source |
|---|---|---|
| DJIA fall, 19 Oct 1987 | 508 points, 22.6% | Brady Report 1988, Ch.1, p.1 |
| DJIA open / close, 19 Oct 1987 | 2,246.74 / 1,738.74 | Widely reported; consistent with the 508-point fall |
| S&P 500 fall, 19 Oct 1987 | ≈20% | SEC, "The October 1987 Market Break," 1988 |
| S&P 500 futures fall, 19 Oct 1987 | ≈29% | SEC 1988, cited in Carlson (2006) |
| Assets under portfolio insurance, 1987 | US$60–90bn | Brady Report 1988, Ch.4, p.28 |
| Overhang carried into 19 Oct (worked above) | ≈US$8bn | Brady Report 1988, Ch.4, p.28 |
| NYSE volume, 19 Oct 1987 | 604.33m shares (record) | Goldman Sachs company history page |
| NYSE market-cap loss, 19 Oct 1987 | >US$500bn | Goldman Sachs company history page |
| DJIA recovery, within two sessions | +288 points (≈57%) | Federal Reserve History |
| Hong Kong fall (crash episode) | ≈45.8% (widely cited) | Course activity figure; measurement window not independently pinned down |
| Brady Report published | January 1988 | Presidential Task Force on Market Mechanisms |
The lesson
- A bought option is a contract; a synthetic option is a trading plan. A protective put that is actually bought pays out no matter what happens to market liquidity. A "put" built by trading only works if trades can still be executed near the prices the model assumed, and that is exactly what failed in the crisis.
- When everyone runs the same model, the model becomes the market. Portfolio insurance was individually sensible hedging, but with thousands of institutions using similar rules, it became a wave of one-directional selling that no counterparty was ready to absorb.
- Margin and liquidity are linked, and both can seize up together. Clearinghouse margin calls in the week of 19 October ran at roughly ten times their average size, competing for the same bank credit that firms also needed to keep trading, even though no one actually defaulted.
- Arbitrage needs two-way liquidity to keep prices linked. The futures-cash relationship that normally keeps stock-index futures priced close to fair value depends on arbitrageurs trading both sides. When they pulled back, futures and cash prices decoupled, each amplifying the other's fall.
- Regulatory design followed from the mechanism, not from assigning blame. The Brady Report's central recommendation was to treat stocks, futures and options as one connected market with unified margin rules and circuit breakers, because separately regulated venues could not handle a shock moving through all of them at once.
Where it appears in the course
Think about it
- Portfolio insurance was meant to work like a protective put without the cost of a premium. What did it actually give up in exchange for skipping that premium, and was that trade-off visible before October 1987 or only after?
- If a single institution had been the only one running a portfolio-insurance programme in 1987, would Black Monday have unfolded the same way? What does your answer tell you about hedges that depend on you being unusual?
- The Brady Report's main fix was to treat stocks, futures and options as one market with shared circuit breakers, rather than banning portfolio insurance outright. Why might regulating the connections between markets be more useful than regulating a single strategy?
Sources
- Presidential Task Force on Market Mechanisms (chaired by Nicholas F. Brady), Report of the Presidential Task Force on Market Mechanisms, January 1988. sechistorical.org
- Mark Carlson, "A Brief History of the 1987 Stock Market Crash with a Discussion of the Federal Reserve Response," Finance and Economics Discussion Series 2007-13, Federal Reserve Board, November 2006. federalreserve.gov
- Donald Bernhardt and Marshall Eckblad, "Stock Market Crash of 1987," Federal Reserve History. federalreservehistory.org
- Goldman Sachs, "Global Financial Markets Crash on Black Monday," company history page. goldmansachs.com
- US Securities and Exchange Commission, Division of Market Regulation, The October 1987 Market Break, February 1988. sechistorical.org
- Hayne Leland and Mark Rubinstein, "The Evolution of Portfolio Insurance," academic paper on the history and design of the strategy. researchgate.net
- South China Morning Post, "1987, 1997, 2007... 2017? Hong Kong's curse of unlucky seven," retrospective on the Hong Kong exchange in October 1987. scmp.com
- Ben S. Bernanke, "Clearing and Settlement during the Crash," Review of Financial Studies, 3(1), 1990, pp. 133-151.