4. Negative Announcement Effect
Part II 主题:信息不对称。 核心实证事实:增发 (SEO) 公告日股价通常下跌。两种解释视角:(1) 逆向选择——公司有关于自身类型的私有信息,只有「坏」公司愿增发,故增发揭示类型、压低股价(Akerlof 1978「柠檬市场」;Myers-Majluf 1984);(2) 价格压力——卖大量新股有向下的供需压力(流动性概念),交割日压价、套利者预期后在公告日即做空压价。Myers-Majluf (1984) 模型(§4.2):三类风险中性主体(经理/老股东/新股东),全股权公司,在位资产 \(\tilde a\) 仅经理私知,正 NPV 项目需投资 \(I\)、回报 \(\tilde b+I\)。经理为老股东利益决定是否增发,IC 约束 \(\tilde a\le\frac{V-I}{I}(\tilde b+I)\) (4.2)。数值例(\(\tilde a\in\{100,20\}\) 各半,\(I=100\), \(\tilde b=40\))有两个自我实现均衡:A 乐观(两类型都增发,\(V=200\))、B 悲观(只有坏类型增发,\(V=160\);好类型不增发)。均衡 B 中增发揭示坏消息:老股东价值从 \(t=0\) 的 80 跌到 60 = 负公告效应。含义:支持啄食顺序 (pecking order)(内部资金→债务→外部股权)、解释盈利公司债务少;「知道得越少有时越好」——若经理无私有信息(\(\tilde a\) 对其也随机),市场无法推断坏类型,避免均衡 B,公司反而增发、老股东期望价值 100>60。
Part II theme: asymmetric information. The core empirical fact: stock price typically drops on the announcement day of a seasoned equity offering (SEO). Two explanatory perspectives: (1) adverse selection — firms have private information about their type, only "bad" firms offer equity, so an offering reveals the type and depresses the price (Akerlof 1978 "lemon market"; Myers-Majluf 1984); (2) price pressure — selling many new shares creates downward supply-demand pressure (a liquidity idea); the pressure hits on the delivery date, and arbitrageurs anticipating it short-sell on the announcement day, imposing the drop early. The Myers-Majluf (1984) model (§4.2): three risk-neutral agents (manager / existing / new shareholders), an all-equity firm, asset-in-place \(\tilde a\) privately known only by the manager, and a positive-NPV project needing investment \(I\) with payoff \(\tilde b+I\). The manager acts for existing shareholders in deciding whether to issue, with IC constraint \(\tilde a\le\frac{V-I}{I}(\tilde b+I)\) (4.2). A numerical example (\(\tilde a\in\{100,20\}\) equally likely, \(I=100\), \(\tilde b=40\)) has two self-fulfilling equilibria: A optimistic (both types issue, \(V=200\)), B pessimistic (only the bad type issues, \(V=160\); the good type doesn't). In equilibrium B, issuing reveals bad news: the existing shareholders' value falls from 80 at \(t=0\) to 60 = the negative announcement effect. Implications: supports the pecking order (internal funds → debt → external equity), explains why profitable firms have less debt; and "knowing less is sometimes better" — if the manager has no private information (\(\tilde a\) is random to him too), the market cannot infer the bad type, equilibrium B is avoided, and the firm issues equity with existing shareholders' expected value 100 > 60.
4.1 The Empirical Fact
一个被广泛认同的实证事实:增发 (seasoned equity offering, SEO) 公告日股价通常下跌。(共识是公告日股价下跌,但对其后股价是继续下行还是相对走平存在争议。SEO = 已上市公司发行新股并卖给市场的事件;关键在于所卖股份是新发行的,而非来自现有股东。)
可从两个视角解释:
- 逆向选择 (adverse selection):公司对自身类型有私有信息。只有坏类型才愿增发,故增发向市场揭示了公司类型、引致股价下跌。这是 Akerlof (1978)「柠檬市场」问题在金融中的应用;Myers and Majluf (1984) 正基于此。
- 价格压力 (price pressure):寻找股权最佳买家有搜寻成本。公司增发时一次卖出大量股份,对市场价格构成向下压力。
- 此压力只存在于短期:最想买股的最佳投资者未必能一次匹配,公司须降价卖给排在后面的下一位。
- 长期看,控制其他因素后价格会逐渐回弹,因为最佳买家会逐步被匹配到这些新股。
- 这完全是一个流动性(公司需快速融资)与供需的概念。
- 价格压力本应发生在新股交割日,但在套利者存在下可在公告日即触发下跌:
- 公告日,套利者理性地预期价格稍后将在交割日下跌;
- 有利可图的策略是今日做空、交割日买回,这立即在公告日施加价格压力。
下面 Myers and Majluf (1984) 的模型从逆向选择视角解释负公告效应。第 5 章的一些模型带有价格压力的味道,但它们解释的是股权的非流动性——一个比 SEO 负公告效应更宽的主题。
It is an extensively agreed-upon empirical fact that stock price typically drops on the announcement day of a seasoned equity offering (SEO). (The consensus is that the price drops on the announcement day, but there is debate on whether the price keeps going down or remains relatively flat after the drop. An SEO = an event where a publicly listed firm issues new equity and sells it to the market; the key is that the equity sold is newly issued, not from existing shareholders.)
It could be explained from two perspectives:
- Adverse selection: firms have private information about their types. Only the bad type would offer equity, so the offering reveals the firm's type to the market and causes a price drop. This is the application of Akerlof (1978)'s "lemon market" problem in finance; Myers and Majluf (1984) is based on exactly this idea.
- Price pressure: there is a searching cost in finding the best buyer of the equity. When the firm raises money by issuing new equity, it sells a lot of shares at once, which puts downward pressure on the market price.
- This pressure only exists in a short period, since the best investors who want to buy shares most may not be matched at once, so the firm has to lower the price to sell to the next one in line.
- In the long run, controlling for other factors, the price should gradually bounce back, because the best buyers will gradually be matched to those new shares.
- This is completely a liquidity (the firm needs to raise money quickly) and demand-supply idea.
- Price pressure should happen on the delivery date of new equity, but could trigger a price drop on the announcement day with the existence of arbitrageurs:
- on the announcement day, arbitrageurs rationally expect the price will drop later on the delivery date;
- a profitable strategy is to short-sell the stock today and buy it back on the delivery date, which immediately imposes price pressure on the announcement day.
The following model by Myers and Majluf (1984) explains the negative announcement effect from the perspective of adverse selection. Some models in Chapter 5 have the flavor of price pressure, although they explain the illiquidity of equity — a broader topic than the SEO negative announcement effect.
4.2 Adverse Selection: Myers and Majluf (1984)
4.2.1 Setup
- 三个风险中性主体:(1) 经理;(2) 老股东;(3) 新股东。
- 全股权公司(专注于信息揭示这单一议题;框架可扩展到其他融资方式)。
- 在位资产 \(\tilde a\ge0\),是仅经理私下知道的随机变量(故对经理而言 \(\tilde a\) 不随机)。
- 投资机会:公司无现金可投;需投资 \(I\);回报为 \(\tilde b+I\),其中 \(\tilde b>0\) 为严格正随机变量。故项目严格正 NPV。
- 经理最大化老股东的价值,决定是否增发以执行项目。
4.2.2 Consider the new shareholders (investors)
公司价值 \(V\) 为 (4.1):
- Three risk-neutral agents: (1) the manager; (2) existing shareholders; (3) new shareholders.
- An all-equity firm (focusing on the single issue of information revealing; the framework can be extended to other financing resources).
- Asset-in-place \(\tilde a\ge0\), a random variable only privately known by the manager (so \(\tilde a\) is not random to the manager).
- An investment opportunity: the firm does not have cash to invest; it requires investment \(I\); the payoff is \(\tilde b+I\) where \(\tilde b>0\) is a strictly positive random variable. So the project has strictly positive NPV.
- The manager maximizes the value for the existing shareholders and decides whether to issue equity to do the project.
4.2.2 Consider the new shareholders (investors)
The firm value \(V\) is (4.1):
$$V=\mathbb E\!\left[\tilde a+\left(\tilde b+I\right)\cdot\mathbf 1\{\text{Issue equity}\}\ \middle|\ \mathbf 1\{\text{Issue equity}\}\right],\qquad \mathbf 1\{\text{Issue equity}\}=\begin{cases}1&\text{If the firm issues equity}\\0&\text{Otherwise}\end{cases}\tag{4.1}$$
在竞争性的投资市场,新投资者回本:投入 \(I\),期望获得 \(V\) 的 \(\frac IV\) 比例。
4.2.3 Consider the manager
由于经理知道 \(\tilde a\),他仅在有利可图时才增发,即 (4.2) 为经理的激励相容 (IC) 约束:
In a competitive market for investment, the new investors break even, i.e. they invest \(I\) and receive a \(\frac IV\) proportion of \(V\) in expectation.
4.2.3 Consider the manager
Since the manager knows \(\tilde a\), he only issues new equity if profitable, i.e. (4.2) is the manager's incentive compatibility (IC) constraint:
$$\underbrace{\left(1-\frac IV\right)\left[\tilde a+\left(\tilde b+I\right)\right]}_{\text{Value of issuing}}\ \ge\ \underbrace{\tilde a}_{\text{Value of not issuing}}\ \Longrightarrow\ \frac IV\tilde a\le\left(1-\frac IV\right)\left(\tilde b+I\right)\ \Longrightarrow\ \tilde a\le\left(\frac{V-I}{I}\right)\left(\tilde b+I\right)\tag{4.2}$$
- 公司价值 \(V\)(由 (4.1) 定义)对增发决策是内生的。
- 在 (4.1) 投资者问题与 (4.2) 经理问题中,\(V\) 都是对 \(\tilde a\) 与 \(\tilde b\) 取期望——因为契约写在投资者视角而非经理视角,故比例 \(\frac IV\) 定义在「对投资者而言的 \(V\)」上。
4.2.4 A numerical example with multiple equilibria to show adverse selection
为简单计:\(\tilde a=100\)(概率 \(\tfrac12\))或 \(20\)(概率 \(\tfrac12\)),称 \(\tilde a=100\) 为好类型、\(\tilde a=20\) 为坏类型;\(I=100\)、\(\tilde b=40\) 确定。
均衡 A:乐观均衡。 市场相信两类型都增发并投资,增发无信息含义。公司对投资者的价值:
$$V=\mathbb E\!\left[\tilde a+(\tilde b+I)\cdot\mathbf 1\{\text{Issue}\}\mid\mathbf 1\{\text{Issue}\}\right]=\tfrac12(100+40+100)+\tfrac12(20+40+100)=200.$$
检验 IC (4.2):好类型 \(\tilde a=100\le140=\left(\tfrac{200-100}{100}\right)(40+100)\),故好类型增发;坏类型 \(\tilde a=20<140\),故也增发。(总是先查好类型 IC;好类型不偏离,则坏类型也不会。)两类型都增发,与事前市场信念一致——自我实现的预言。
均衡 B:悲观均衡。 市场相信只有坏类型增发,增发有信息含义。若公司增发,其对投资者的价值:
$$V=\mathbb E\!\left[\tilde a+(\tilde b+I)\cdot\mathbf 1\{\text{Issue}\}\mid\mathbf 1\{\text{Issue}\}\right]=20+40+100=160.$$
检验 IC (4.2):好类型 \(\tilde a=100>84=\left(\tfrac{160-100}{100}\right)(40+100)\),故好类型不增发;坏类型 \(\tilde a=20<84\),故坏类型增发。只有坏类型增发,与事前信念一致——又一个自我实现的预言。
- The firm value \(V\) (defined in (4.1)) is endogenous to the issuing decision.
- In both (4.1) the investor's problem and (4.2) the manager's problem, \(V\) is an expectation over both \(\tilde a\) and \(\tilde b\), because the contract is written from the investors' perspective, not the manager's; so the percentage \(\frac IV\) is defined over \(V\) to the investors.
4.2.4 A numerical example with multiple equilibria to show adverse selection
For simplicity: \(\tilde a=100\) (w.p. \(\tfrac12\)) or \(20\) (w.p. \(\tfrac12\)), call \(\tilde a=100\) the good type and \(\tilde a=20\) the bad type; \(I=100\) and \(\tilde b=40\) for certain.
Equilibrium A: optimistic equilibrium. The market believes both types issue equity and invest, so issuing has no information implication. The firm's value to investors:
$$V=\mathbb E\!\left[\tilde a+(\tilde b+I)\cdot\mathbf 1\{\text{Issue}\}\mid\mathbf 1\{\text{Issue}\}\right]=\tfrac12(100+40+100)+\tfrac12(20+40+100)=200.$$
Check IC (4.2): good type \(\tilde a=100\le140=\left(\tfrac{200-100}{100}\right)(40+100)\), so the good type issues; bad type \(\tilde a=20<140\), so it also issues. (Always check the good type's IC first; once the good type doesn't deviate, the bad type won't either.) Both types issue, consistent with the ex-ante market belief — a self-fulfilling prophecy.
Equilibrium B: pessimistic equilibrium. The market believes only the bad type issues equity, so issuing has an information implication. If the firm issues, its value to investors:
$$V=\mathbb E\!\left[\tilde a+(\tilde b+I)\cdot\mathbf 1\{\text{Issue}\}\mid\mathbf 1\{\text{Issue}\}\right]=20+40+100=160.$$
Check IC (4.2): good type \(\tilde a=100>84=\left(\tfrac{160-100}{100}\right)(40+100)\), so the good type does not issue; bad type \(\tilde a=20<84\), so the bad type issues. Only the bad type issues, consistent with the ex-ante belief — again a self-fulfilling prophecy.
由于增发向市场揭示了负面信息,可解释负公告效应:
- \(t=0\) 时市场确知 \(t=1\) 有投资机会。
- 对市场而言:有 \(\tfrac12\) 概率公司是坏的、\(t=1\) 增发、对老股东价值 \(V-I=160-100=60\);有 \(\tfrac12\) 概率公司是好的、\(t=1\) 不增发、对老股东价值 \(100\)。
- 故 \(t=0\) 时股票对老股东的价值为 \(\tfrac12\times100+\tfrac12\times60=80\),高于 \(60\)。
- 因此若 \(t=1\) 公司增发,老股东的股权价值从 \(80\) 跌到 \(60\),这解释了负公告效应。
4.2.5 Implications
- Myers and Majluf (1984) 支持啄食顺序理论 (pecking order theory)(融资偏好的层级序列:先内部融资,内部资金不足才转向债务,发行外部新股是最后手段、当借债也无法解决问题时):
- 因信息不对称,外部融资有成本;
- 为降低此信息成本,公司先用留存收益(内部股权)做内部融资,再考虑债务与外部股权(待发新股)。
- Myers and Majluf (1984) 支持「许多盈利的美国公司债务更少」这一实证事实:
- 外部融资有信息成本;
- 虽然静态权衡模型暗示盈利公司应多发债享受税盾(与实证不符),但动态权衡模型确实预测这些公司动态地少发债。故基于信息的模型并非建模该实证的唯一选择。
- 在 Myers-Majluf (1984) 中在位资产很重要。然而年轻公司可能没有那么多在位资产,这是 MM 1984 的一个缺陷。
知道得越少有时越好:
- 设经理是新来的,对公司类型没有任何私有信息,即 \(\tilde a\) 对公司也是随机变量。
- 市场知道这点,故绝不会说「只有坏类型增发」,从而避免了均衡 B。
- 公司增发时市场无法分辨好坏:投资后公司总价值的期望为 \(\mathbb E[\tilde a+(\tilde b+I)]=200\)。投资者回本拿回 100,故投资后老股东期望价值为 $200-100=100$,
Since equity issuing reveals negative information to the market, we can now interpret the negative announcement effect:
- At \(t=0\), the market knows for sure there is an investment opportunity at \(t=1\).
- To the market: with probability \(\tfrac12\) the firm is bad, issues stock at \(t=1\), and has value \(V-I=160-100=60\) for the existing investor; with probability \(\tfrac12\) the firm is good, does not issue stock at \(t=1\), and has value \(100\) for the existing investor.
- So at \(t=0\), the value of the stock to existing investors is \(\tfrac12\times100+\tfrac12\times60=80\), higher than \(60\).
- Therefore, if at \(t=1\) the firm issues stock, the equity value of existing shareholders drops from \(80\) to \(60\), which explains the negative announcement effect.
4.2.5 Implications
- Myers and Majluf (1984) supports the pecking order theory (a hierarchy of sequence choices: a firm prefers internal financing first, only turns to debt financing when the internal fund isn't enough, and only issues new equity (outside equity) as the last resort when raising debt is not solving the problem):
- due to asymmetric information, outside financing is costly;
- to reduce such information cost, firms first take internal financing from retained earnings (inside equity), and then consider debt and outside equity (new equity to be issued).
- Myers and Majluf (1984) supports the empirical fact that many profitable US firms have less debt:
- external funding has an information cost;
- although the static trade-off model implies such profitable firms should raise more debt to enjoy the tax shield (inconsistent with the empirical findings), the dynamic trade-off model actually does predict that those firms dynamically raise less debt. So an information-based model is not the only choice to model this empirical finding.
- In Myers-Majluf (1984), the asset-in-place is very important. However, young firms might not have that much asset-in-place, which is a drawback of Myers and Majluf (1984).
Knowing less is sometimes better:
- Suppose the manager is new, who doesn't have any private information about the firm's type, i.e. \(\tilde a\) is also a random variable to the firm.
- The market knows that, so they will never say "only bad type issues equity", which avoids Equilibrium B.
- When the firm issues equity, the market can't tell if it's good or bad type: the total expected value of the firm after investment is \(\mathbb E[\tilde a+(\tilde b+I)]=200\). The investors break even and take back 100, so the existing shareholder's expected value after investment is $200-100=100$,
$$200-100=100\ >\ \mathbb E[\tilde a]=60,$$
它大于公司不投资时的 \(\mathbb E[\tilde a]=60\)。故公司会增发。这一结果优于经理知道自己是坏类型公司时的结果。
which is greater than \(\mathbb E[\tilde a]=60\) if the firm doesn't invest. So the firm will issue equity. This outcome is better than the one when the manager knows it's a bad type firm.
References
- Akerlof, G. A. (1978). The market for "lemons": Quality uncertainty and the market mechanism. In Uncertainty in Economics, pp. 235–251. Elsevier.
- Myers, S. C. and N. S. Majluf (1984). Corporate financing and investment decisions when firms have information that investors do not have. Journal of Financial Economics 13(2), 187–221.