The CEPR Pension Return Calculator
No Economist Left Behind Test II:
What Assumption Should We Make on Pension Returns?
Many analysts are now arguing that public pension funds should only assume a nominal rate of return of 4.5 percent on the stock they hold. This is the rate of return on 30-year government bonds and is considered the risk free rate of return.
In contrast, most pension funds are now assuming that the stocks that they hold will give around a 10 percent nominal rate of return. This is roughly the average rate of return on stocks over the last hundred years. It is also a rate of return that is consistent with the current price to earnings ratios in the market (@14 to 1), which is roughly equal to the average price-to-earnings ratio in the market over the last hundred years.Price-to-Earnings Ratios (1962-2050)
Earnings Share of GDP (1962-2050)
CBO: Congressional Budget Office
FRB: Federal Reserve Board
Methods for Projection
The red line above shows the path for the price-to-earnings ratio that is consistent with stocks providing a nominal yield of 4.5 percent, if the growth projections for the economy and corporate profits prove accurate. These projections are from the Congressional Budget Office (CBO), which is widely viewed as the authoritative source for economic projections. CBO surveys all the major forecasters and constructs projections that are broadly consistent with the mainstream of the economics profession.
Since the dividend yield is currently close to 4.0 percent, stock prices can only rise at the rate of 0.5 percent annually, to keep the total return (dividend plus the rise in the stock price) from being above 4.5 percent. However, corporate profits are projected to grow 4.5 percent annually, the same rate as the economy. (Over long periods, corporate profits generally grow at the same rate as the economy.) If the stock price only rises by 0.5 percent and corporate profits rise 4.5 percent, then the ratio of stock prices to corporate earnings would be falling, as shown in the graph.
However, if the stock price falls relative to earnings, then the ratio of dividends to the share price will rise. (If the stock price is $10 a share,earnings are $1 a share and dividends are 40 cents a share, then the dividend yield would be 4.0 percent. If the stock price fell in half, so that the share price was just $5 but the stock still paid a dividend of 40 cents a share, then the dividend yield would be 8.0 percent [40 cents divided by $5].)
The higher dividend yield implies that the stock price would have to fall even more rapidly in future years in order to keep the total return from exceeding the 4.5 percent level. For example, if the dividend yield were 8.0 percent, as in the case above, then the stock price would have to fall by 3.5 percent the following year to keep the return at 4.5 percent. However, with profits again rising by 4.5 percent, this would push the price-to-earnings ratio even lower and make the dividend yield even higher. Eventually, the stock price would actually have to fall so far that it became negative, as shown in the chart. This would imply that people would actually get paid to hold stock.
This is of course absurd. However it makes the point that it is not easy to find plausible scenarios in which stocks will only produce the 4.5 percent risk-free rate that many policy analysts are now arguing that pension fund managers should use in assessing the returns on their stock holdings. Use the calculator to see if you can construct a plausible story that has stocks providing only a 4.5 percent rate of return.
If the dividend yield fell below the 70 percent shown here it would imply that investment is growing more rapidly than projected, which would mean that the CBO growth projections understate the true growth rate of output and profits. If profits grow more rapidly, then the stock price will have to rise more rapidly in order to keep the price-to-earnings ratio constant.
Designed by David Rosnick, Center for Economic and Policy Research