AFAIK it's simple: assume you have an initial amount of $1000. You decide to buy mining equipment which generates 100 BTC before it blows up in your face (we neglect the electricity cost for simplicity). Alternatively you could have bought 100 BTC from your initial $1000 at $10 per BTC. Assume in 1 year BTC is $1000 a piece. Now your mining equipment generated $99000 profit.
Correct? No - because the profit is an outcome of the value appreciation of BTC. Your device just made it barely to break even.
I follow you - it's about buy and hold vs invest in mining equipment, yes? I'll try to think of a way to show that not involving using a btc denominated chart.
Good effort but putting such a large range on BTC price only hurts your presentation. You should be tackling mining profitability with the mindset of "Hey, let's see how profitable this is given that BTC stays at $11 or thereabouts." There is absolutely no point in even peeking at mining return over ~$10/BTC (A crueler man than I would call it masturbatory). I recommend a range of $11/BTC and down if you insist on having exchange rate as a variable. Otherwise, I'd just stick to a constant $11/BTC. It is much more useful to show a wide range of difficulties and difficulty prediction functions as that is the true unknown variable here.
I'd like to point out that my sexual fantasies rarely involve bitcoin.
That said, there is a very good reason I increased the x-axis to US$40/btc in the chart you refer to, and that is to enable comparisons. If one device at one locale can get you to the break even point at 12 months at starting difficulty = 30 million and an exchange rate of US$10/btc, and the same device will reach break even at 12 months at starting difficulty = 30 million and an exchange rate of US$30/btc, then you know it's time to move to a state where electricity is cheaper. I'm not expecting btc to reach maximum of the x-axis, but if I didn't include up to US$40/btc then some of the chart would have been blank.
With those points in mind, and with the aim of producing an ROI like chart, I made the following:
Chart 1: (new) In order to read this group of charts, find the intersection of a percentage ROI and number of difficulty periods (eg. % ROI after one year is at ~ 26 difficulty periods). The colour of the tile is an indicator of the exchange rate required to meet this %ROI after the given number of difficulty periods. The faint white line along the middle of each plot indicates the break even point. Click on a chart for enlargement.
More charts and more detail at
http://organofcorti.blogspot.com.au/2012/11/93-more-on-asic-choices.html