September 29, 2020

Is the stock market over-exposed to the tech giants?

The five tech giants (Apple, Microsoft, Amazon, Google, Facebook) account for 20% of the total US stock market capitalization. This fact leads some financial advisors to say that investors holding the market portfolio are poorly diversified, because they are over-exposed to the tech sector and a handful of tech companies (an example of this view here).

Is this concern justified? Read more »


September 23, 2020

How to evaluate private equity funds: IRR v. NPV

We learn in finance class that investments should be evaluated based on their Net Present Value. It turns out that many private equity funds instead use the Internal Rate of Return to advertise their performance. Did we learn something wrong in class? Or do private equity funds have a (good or bad) reason to communicate their internal rate of return?

Read more »


September 17, 2020

Why interest rates don't go below zero — and why digital currencies can change it

Central banks set the interest rate to influence investment decisions, raising the interest rate to moderate investment when the economy is booming and lowering the interest rate to boost investment when the economy is slowing down (see the previous post). But how low can the central bank set the interest rate?

Read more »


September 14, 2020

How central banks influence the Net Present Value

The job of central banks is to stabilize the business cycle, trying to prevent unemployment to rise during recessions and keeping inflation in check during expansions.

To achieve these goals, the central bank sets the interest rate at which commercial banks borrow and lend money to each other. Because commercial banks are at the core of the financial system, the interbank rate determines the interest rates faced by businesses and households. The central bank therefore controls the interest rate in the economy.

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September 12, 2020

How to value green investments (and eat chocolate)?

The first thing we learn in finance classes is how to value for-profit investments. An investment project is worth the present value of the cash flow it generates, which we calculate as expected cash flow discounted at the appropriate rate.

Can we adapt the method for nonprofit investments whose output is not pecuniary but environmental or social? The answer is yes!

Read more »


September 5, 2020

How to deal with the coming wave of corporate bankruptcies?

Businesses have accumulated lots of debt since the beginning of the Covid-19 health and economic crisis. High corporate debt creates two sorts of issues. The first one is debt overhang that hinders corporate investment – see this post on debt overhang and public policies aimed at fixing it.

The second issue is financial distress. Corporate bankruptcies are now rising around the world – see for instance Pandemic triggers wave of billion-dollar US bankruptcies in the Financial Times. In this post, we are going to see that lack of coordination between creditors can lead to inefficient decisions.

Read more »


June 18, 2020

Covid increases debt owed to high-income people

Businesses and governments come out of the lockdown with high levels of debt. This is a source of worries because high corporate debt can create debt overhang and hinder corporate investment (see this post) and high government debt can lead to sovereign debt crises.

An aspect of the situation that is less discussed but crucial is where the debt is coming from. When a single country endures hard times, it often borrows from other countries. This logic does not apply to the Covid crisis because all countries were hit — we don't borrow from Martians (yet?). It must be that a group of people increased their savings during the crisis and lent money to other economic agents. Who is this group of people?

Read more »


June 08, 2020

Should the EU issue perpetual bonds?

The idea of issuing perpetual debt to combat the Covid crisis has recently been floated by prominent public figures such as hedge fund manager George Soros (The EU Should Issue Perpetual Bonds) and economist Luis Garicano and former Belgian Prime Minister Guy Verhofstadt (Toward a European Reconstruction Fund). A perpetual bond is a bond that pays an annual coupon forever and whose principal is never repaid. Conceptually, a perpetual bond is a coupon-paying bond with an infinite maturity.

The main argument for issuing perpetual bonds is that the EU should take advantage of the low-yield environment to lock in low interest rates by borrowing with infinite maturity.

Read more »


June 5, 2020

May inflation risk be higher than suggested by the bond market?

In the previous post we argued that bond prices point to expectations of low inflation. In the euro area, the difference between the yield on nominal bonds (subject to inflation risk) and the yield on inflation-indexed bonds (protected against inflation risk) is only 0.6%, which implies an expected inflation of 0.6% per year. In the US, the difference between the ten-year yield on nominal bonds (in blue on the figure below) and that on inflation-index bonds (in red) implies an expected inflation of 1.2% per year, which is also historically low.

Can these prices actually be misleading? This post reviews possible objections to the conclusion drawn from bond prices.

Read more »


May 28, 2020

What does the bond market tell us about inflation risk?

The fiscal response to the crisis is pushing public debt to very high levels. Concomittantly, central banks purchase massive amounts of public debt to keep interest rates low. In other words, central banks are effectively financing governments by creating money. Historically, government financing by money creation led to dramatic episodes of hyperinflation as is currently happening in Venezuela. Is there inflation risk today in Europe?

Read more »


May 25, 2020

Is the stock market disconnected from the real economy?

While unemployment is reaching levels not seen since the Great Depression and many small and large businesses are in dire financial situation, the stock market enjoyed very good returns over the past weeks. Is the stock market disconnected from the real economy?

The disconnect is only apparent. Several factors explain why stock prices can increase even though economic conditions deteriorate.

Read more »


May 14, 2020

Can social objectives be financed by money creation?

Final part

There exist many proposals for financing the energy transition, medical research, anti-poverty programmes and other social objectives, by creating money. They often boil down to something like this. The government aims at funding expenses, say medical research for a coronavirus vaccine.

Step 1: The government fund expenses by issuing debt.

Step 2: The central bank purchases the government debt. The government never repays the debt.

Read more »


May 13, 2020

Can social objectives be financed by money creation?

Part 2: Central banks

We showed in Part 1 that commercial banks create money. We considered a banking sector with balance sheet:

Assets Liabilities
Banking sector

Let us now introduce the government and the central bank. The government wants to hire Carole as a school teacher and borrows money to pay for her wage, which is 20 euros. The government issues a bond, which is purchased by the bank. The government uses the money to pay Carole, who deposits her wage at the bank. The balance sheet of the banking sector is now:

Read more »


May 12, 2020

Can social objectives be financed by money creation?

Can states finance social objectives such as the energy transition, developing a coronavirus vaccine or reducing poverty, by creating money? We often hear proposals involving a combination of innovative debt instruments and central bank intervention to finance laudable objectives (see for instance Thomas Piketty on "green money" in These proposals are usually criticized on the ground that they would lead to inflation and asset bubbles.

Unfortunately, the debate is often arcane and sometimes based on misconceptions about money. My goal here is not to take a side, but to explain plainly how money creation works in practice.

Part 1: Who creates money?

Read more »


May 7, 2020

Debt overhang is looming: Is it curable?

Many businesses are in financial troubles due to reduced economic activity caused by Covid. Governments are taking actions to help firms survive through these hard times ranging from tax holidays to government loans and credit guarantees. But when economic activity resumes, firms will emerge with high levels of debt accumulated during the crisis, leading to a well-known problem: debt overhang. What is debt overhang and how can it be cured?

Read more »


May 3, 2020

Why central banks purchase risky debt

Central banks massively intervened during the crisis. In particular, central banks engaged in large asset purchase programs (Federal Reserve enters new territory with support for risky debt, ECB predicted to beef up asset purchases with shift into junk bonds). What are these asset purchases and what are their goals?

In a crisis, central banks seek to lower interest rates. The rationale is that lower interest rates induce companies to invest and households to consume. Lower interest rates also reduce the cost of government deficits and mitigate the risk of a sovereign debt crisis. Before seeing how central banks can affect interest rates, it is important to remember that interest rates have two components:

Interest rate = Risk-free rate + Default premium

Read more »


April 29, 2020

Why the equity risk premium has increased

The stock market rebounded following fiscal and monetary policy announcements: it is now about 20% below its pre-crisis level. In the previous post, we saw that the expected fall in corporate earnings can account for only a fraction of the market decline. To explain the full market decline (even after the rebound), we must recognize that the equity risk premium has gone up.

There exist three reasons why the equity risk premium has increased, which are summarized by the following formula:

Equity risk premium = (Risk aversion) x (Macro risk) x (Sensitivity of earnings to macro risk)

Read more »


April 26, 2020

Did the stock market over-react to Covid-19?

In the previous post we saw that the Dividend Discount Model does a good job at explaining the level of stock prices before the Covid crisis. Today, we turn to the stock market crash caused by the coronavirus outbreak. After stock prices went down 30%, some commentators argued the market over-reacted. Let us review their arguments as well as counter-arguments using the Dividend Discount Model.

Read more »


April 24, 2020

Were stock prices too high before Covid-19?

The arrival of Covid-19 in Europe made stock markets crash. The two graphs below show that the S&P 500 (the US stock market index) and the EuroStoxx 50 (the European index) went down by about 30% after Northern Italy was quarantined at the end of February. Minus 30% sounds like a large drop, but was it too large: did the market over-react? Alternatively, were stock prices too high before the crisis and the crash a correction to more reasonable stock prices?

In this post, we will use the tools learnt in Financial Markets to answer both questions, starting with the latter.

Read more »


April 21, 2020

Why is the price of oil futures negative at short maturities?

You probably heard that oil price is below zero for the first time in history. The screenshot below was sent to me by a student. The column "Last" shows the prices of futures oil contracts for several contract maturities. Remember that a futures contract calls for the delivery of the underlying asset (here: oil) at the maturity of the contract (May 2020, June 2020, etc.)

The amazing fact is that the contract for delivery in May has a negative price. It means that sellers are paying buyers for taking oil off their hands in May! But notice this is only true at short maturities: the June contract has a positive price as one would normally expect. How can we explain this pattern using what we learnt in Financial Markets?

Read more »