The answer: Yes.

The problem with seeing it is that most everybody these days can’t see it. Witness the ever-ascending markets. I get it: that rush of upward momentum is intoxicating. On June 20, the S&P 500 established still another all-time record, closing at 1,963, and it’s hovering near that mark today. Who doesn’t want to believe? Well, the data, for one.

Take a hard look at the numbers and you’ll see they fully support the view that low rates mainly breed overblown valuations, not bargains. As incredible as it may seem, they point to a dim future for today’s investors.

The Bulls base their optimism largely on one factor that’s supposed to justify today’s valuations: low interest rates. The rates-to-the-rescue thesis comes in two flavors. The first states that the crucial yardstick for investors is comparing the yield on stocks to that on bonds to see which offers the better deal. The yield on stocks would be the earnings-to-price ratio, or E/P, the inverse of the P/E. When that exceeds the yield on the 10-year Treasury, stocks are the thing to own. Put another way, when stocks “pay” more than bonds, stocks are a bargain. Or supposed to be.

By that measure, stocks would appear to win, big time. I’ve written recently about Robert Shiller’s CAPE, or cyclically adjusted price-earnings ratio. Shiller, a 2013 Nobel laureate, developed CAPE to smooth the big swings by using a ten-year average of inflation-adjusted profits to calculate a more realistic P/E. The CAPE is now a formidable 26, far above its mid-teens average over 143 years.

Using that measure, the earnings yield of around 4% beats the 10-year Treasury yield of 2.6% by a wide margin.

We’ll come back to why that’s merely a mirage in a moment, but let’s get to the Bulls’ second argument first.

That one is more sophisticated than the stocks versus bonds rule-of-thumb. By definition, the current stock price equals the discounted present value of a company’s future cash flows. (The same rule applies to an index of stocks, such as the S&P 500.) If rates fall, then so does the discount rate. So far so good. The pundits then take the “discounted present value” model a step farther. They reckon that a decline in the discount rate automatically raises the value of every dollar of future earnings, swelling multiples for supposedly valid reasons. Ergo, low rates justify high P/Es.

It’s math, and it’s obvious. So why don’t the doubters like me get it?

The problem with both of these justifications is that low rates typically forecast low inflation. When rates and inflation are subdued, companies can barely raise prices, which means that their revenues, and earnings, advance at an unusually slow pace. (Price increases on software, groceries and everything else companies sell are inflation.) Hence, the slowdown in the growth of profits counteracts the fall in rates that’s anticipating that slowdown. It’s a wash, not a springboard.

Cliff Asness, co-founder of asset manager AQR Capital, who received his Ph.D. from the University of Chicago under Eugene Fama, the legendary economist who shared the Nobel with Shiller, refutes the standard justification in a paper he authored for The Journal of Portfolio Management in 2003. Here’s how he summarizes the way this false theory is routinely presented: “’You have to understand––stocks might look expensive, but that is fine because interest rates and inflation are low.’ Or so the refrain goes.”

The Asness view isn’t based just on theory, but on hard data. In his 2003 study, entitled “Fight the Fed Model” (which refers to the misleading practice of comparing bond and stock yields), Asness examines how different interest rate environments from 1965 to 2001 influence returns. He takes the 10-year bond rates at the end of every month over those 36 years, and sorts those dates into five categories. In the first bucket are the times where rates are extremely low—those dates comprise the first and lowest rate quintile. In the last bucket are the one-fifth of the months when rates ended at their highest levels.

The study then measures total returns in two directions, past and future. Let’s look at the results for periods like the present, when rates are unusually low. Asness calculates returns over the decade that preceded the low-rate periods, and then, for the ten years that followed––in other words, first how investors fared over a stretch that (typically) went from high rates to low rates, and second, the reverse. The results illustrate perhaps the greatest paradox in equity markets.

Investors do indeed use the level of rates to determine how much they’ll pay for stocks. When rates are low, P/Es are almost always way above average. When rates are elevated, multiples are modest. As rates fall, P/Es soar. It doesn’t necessarily make sense, but it happens. It’s important to note that in the 11 years following the end point of the Asness study, the pattern has persisted. The towering Shiller P/E of 26 is totally consistent with today’s ultra-slim rates.

In the decade preceding the intervals of extra-low rates, investors flourished. If shareholders held stocks for a ten-year period that ended with rates in the lowest quintile, they earned over that time more than 10% annually after inflation. They’re obviously delighted about their stock performance, but that’s looking backwards. That’s money they already made. Call that rearview optimism.

What happens over the ten years that followed, when investors began in a period of very low rates?

The answer is shocking. Those who bought shares at the end of the months when rates were lowest suffered negative yearly real returns of 2% over the decade that followed. Those who bought shares when rates were highest earned 10% after inflation. So contrary to the accepted wisdom, the best time to buy stocks is when rates are extremely high, and the worst time is when they’re extremely low.

The conclusion is that falling rates raise prices in the short-term by luring over-confident investors who then overpay for stocks. That raises prices in the short-term, but eventually, the lofty prices collapse under their own weight. They are swept in momentum that’s actually at the beginning of the end rather than the end of the beginning. Investors are obsessed and intoxicated with slender yields. It doesn’t make sense, but it happens again and again.

So what does Professor Shiller think? In an interview with Aaron Trask, host of The Daily Ticker on June 25, Shiller stated that low rates “ought to explain the high CAPE, but that doesn’t mean the high CAPE isn’t a forecast of bad performance.” In other words, “explaining” big multiples isn’t the same thing as fully justifying those high prices.

What matters is how many dollars you’re paying now for today’s and tomorrow’s earnings. It’s price, not rates, that matters most. When you’re paying $26 up front for $1 of earnings, history says you’re almost certainly overpaying. The parade of record stock-market closes should be cause not for cheering, but for alarm.