CIGS Predictions, Binomial Distributions and Market Implications

Amid a recession, global credit crunch and the transition to a demand-constrained world, 2009 promises to be an interesting year for CIGS, writes GTM Research Senior Analyst Shyam Mehta.

Our just published report, PV Technologies, Production and Costs, 2009 Forecast predicts an installed capacity of 3+ gigawatts by the end of 2012. This may seem quite aggressive for a technology offering that remains largely unproven. While it's a valid concern, we're sticking with our numbers for now, and here's a brief summary of the logic driving our estimates:

1. Far from taking CIGS manufacturers at their word, our estimates are derated versions of company-announced figures, sometimes by as much as 80 percent – meaning that to a large extent, our supply estimates already incorporate the possibility of delays and technology/throughput issues. Our final capacity/production estimates, therefore, while seeming extremely aggressive, are actually the result of a conservative modeling methodology.

2. We've been talking to CIGS manufacturers to gauge their progress, and the signs are encouraging at present – there is evidence that some (Miasolé, Showa Shell) may be approaching the other end of the tunnel with respect to yield and throughput issues. Remember, 2012 is more than three years away – and let me remind you that First Solar's total installed capacity at the beginning of FY2006 stood at a mere 25 megawatts. No, I didn't miss a zero. People then were similarly (and understandably) skeptical when informed of their ambitions, but few doubt their 1+ gigawatt capacity estimate now. It's a good example of the dangers of assuming the past serves as precedent for the future.

3. There are around 15 companies in the space that are on a roughly similar timeline when it comes to their ramp-up plans. Our logic – even if the technology risk is high individually, the overall probability that a mere few succeed (which is pretty much what we're assuming in our forecasts) is pretty reasonable. And that doesn't count other "wild card" producers with disruptive but unproven technologies that we have not even considered for forecasting purposes (I'm not naming names here for fear that people in black suits will whisk me away).

Let's flesh this last point out a little more. It comes down to something what's termed the binomial probability distribution. Reasonably simple math dictates that with n independent events where the probability of a "success" in any given event is p, the probability of k successes is given by

 

 

 

Where

 

 

 

Here, n is the total number of CIGS companies that are trying to get to multi-hundred MW capacity over the next few years, p is the probability that any one will succeed in view of the technology risk, and k is the number of companies that we are wondering will succeed.

So let’s run some numbers. If we define “scale” as around 750 megawatts, we need 3,000/750 or 4 companies to succeed to make our predictions reasonable. What’s the probability as determined by the binomial distribution? Well, it’s 1 minus the probability that 3 or less succeed. With n = 16, k = 4, and p at say, 25 percent, this comes to 60 percent. With p = 30 percent, it’s 76 percent, and with k = 2 and p = 25 percent, it’s 81 percent. Not bad, eh?

Of course, this is far from a mathematical proof of a CIGS ramp (as if any such thing could exist), and the fact remains that at this stage, we’ve yet to see results. Is there downside risk to our forecasts? It’s possible, and only time will tell. It’s crucial, therefore, to keep a close eye on how the CIGS landscape evolves in 2009. For our part, we’re going to keep monitoring the situation. To the extent we see CIGS players facing the same old problems as before (as could be the case with Heliovolt as we recently learned), you can be sure that we’ll be refining and updating our forecasts.

Some final food for thought. If CIGS does fail to ramp materially and occupy a meaningful share of the global PV market, what would the ramifications be for the market at large? To assess this scenario – which we refer to as the “Slow CIGS Ramp” case – we conducted a sensitivity analysis by slashing our CIGS production estimates in a company-agnostic fashion by a further 75 percent, over and above the existing derates.

What effect does this have on the bottom line? As it turns out, not very much (see the chart below). What you see when you reconcile the “CIGS-less” stacks with the demand curves is that there’s almost no change in equilibrium demand or clearing prices, because of the shape of the demand curve and the flatness of the supply stacks near the point of intersection. The producers that come into play in this scenario are those on the margin -- namely, the standard multicrystalline producers who are at large scale, and to the failure of CIGS to ramp would be a boon for them.

With the recession and the credit crunch underway, the transition to a demand-constrained world, and the looming threat of a new challenger to the throne, 2009 promises to be a very interesting year for the PV industry, regardless of the specific outcomes. If you are still hungry, watch this space – there’s more where this came from. 

14 Comments

  • Steve Pluvia 02/23/09 11:37 AM

    Shyam, nice modeling; you’re surprisingly smart for a Goldman guy.

    Reply
  • Michael Boyter 02/24/09 5:01 AM

    I like your math however you cannot estimate the unknown. The number of companies with “Game Changing Disruptive Technology” for the most part remain unknown. I know of 3 that are sure fired successes who are in the 1st or 2nd angel rounds. Their technology has been proven on the bench and in the field in at least one case. When their technologies are viewed widely for what their potential is, then they will receive the necessary funding and the game will change for most industries. I know the percentage of success will go to 99% once these companies are figured in. It’s just a matter of how fast they will rise. I will make a prediction that we will achieve grid parity on a widescale by mid 2010. It’s going to be fun to watch it happening. Stay Tuned,  Michael

    Reply
  • Steve Pluvia 02/25/09 4:26 AM

    Shyam,  what assumptions did you make to arrive at your projected ASP’s?

    Reply
  • John Bartlett 02/27/09 8:57 AM

    As you noted, the binomial distribution requires that the events be independent, which may not be a reasonable assumption for companies with similar technologies.

    Reply
  • Shyam Mehta 02/27/09 9:38 AM

    jeb.nyc - that’s not true. Independence means that the actual failure of one company to scale will not influence the success or failure of other companies. The high technology risk is common to all, but that doesn’t make the events dependent. Think of it as tossing a coin 10 times - it’s the same coin, but the outcomes have no bearing on each other.

    Reply
  • Shyam Mehta 02/27/09 9:38 AM

    jeb.nyc - Slight misunderstanding on your part. Independence means that the actual failure of one company to scale will not influence the success or failure of other companies. The high technology risk is common to all, but that doesn’t make the events dependent. Think of it as tossing a coin 10 times - it’s the same coin, but the outcomes have no bearing on each other. Again, this is a fairly abstract line of thought, but I do think it’s one instance where probability is applicable to life.

    Reply
  • John Bartlett 03/1/09 12:21 PM

    Shyam - but the success (or failure) of one CIGS company to scale does affect the probability of success of other CIGS companies to scale.  I think it is fair to say that the success of First Solar increased the probability of success of other thin film companies, through greater investor and end-customer acceptance.

    Reply
  • John Bartlett 03/1/09 1:59 PM

    My general point is that the business environment changes as companies enter the market and succeed or fail.  I agree with you that having more CIGS companies increases the probability of 3+ GW from CIGS in 2012.  However, the binomial distribution assumes a static environment (such as flipping a coin), which is a difficult assumption to make for an emerging industry like solar.

    Reply
  • Xiaohong Chen 03/3/09 12:31 AM

    We need to be cautious about using probability and other math to predict market behavior. I recommend a good reading on this subject published recently on Wired Magazine(17.03) , titled Recipe for Disaster: The Formula That Killed Wall Street.

    Reply
  • Xiaohong Chen 03/3/09 12:35 AM

    The Wired Magazine paper was written by Felix Salmon on Feb 23, 2009.

    Reply
  • Robert Faust 03/3/09 2:19 PM

    Here’s a link to that: link.

    Reply
  • Peter Antypas 03/3/09 2:34 PM

    ... or just read The Black Swan.

    Reply
  • Shyam Mehta 03/4/09 6:56 AM

    Steve - as you can tell from the figure, we layered supply and demand curves on top of each other to obtain clearing prices, which, in a demand-constrained world, is to me, the right way to go about. The specifics of this process amount to a couple of 100+ page reports - so there’s no way to be succinct here. We had to estimate capacity, producible supply, and manufacturing costs by company on the supply side, and factor in FITs, installation caps, interest rates, and IRRs on the demand side. The executive summary of the supply report provides considerable detail on the mechanics. You can download it for free here on the report page - go to the bottom of the page. Hope this helps!

    Reply
  • Shyam Mehta 03/4/09 7:10 AM

    xchen, faust, Peter: I’m with you. For another horrifying example of crazy math gone horribly wrong, read How Genius Failed: The Rise and Fall of Long-Term Capital Management. But there’s a difference between using quantitative modeling to inform your decisions, versus letting it make decisions for you. This is an example of the former, not the latter.

    The point is, a forecast must use models. And insofar as modeling is done, it must use quantitative techniques as a basis. Your point is, a model is just that - a model. It’s not a crystal ball, and it’s not an exact science. Agree. But I’ve worked on Wall Street, and believe me, there’s a world of difference between a binomial distribution-based argument, and a brownian-motion differential equation-driven trading algorithm. There’s math, and there’s math.

    Reply
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