Imho there is no jump to be expected until next halving. Everything else happening is just noise.
I've never seen the halving-drives-bubbles argument fully explained. It seems to me that since we are talking about CCMF price jumps of at least tenfold, and the inflation rate is nowhere near that, then either most bitcoins are immovable or the halving isn't in fact that important.
For example, if we have an inflation rate of 10% per year but investment increases tenfold during the year, then we still get roughly a 9x increase in price. Now if half the coins are immovable, either because they are lost or because for some reason the holders refuse to cash any out, then the effective inflation rate looks more like 20%. If 3/4 of the coins are immobile, then 40%. And if investment only increases by say 4x per year, then I think that's only like a 2.5x price increase during the non-halving years. But 4x vs. 2.5x is still not that much of a difference.
If the halving does make a huge difference, I would have to conclude that it's because few bitcoins actually make it to market for whatever reason. Perhaps it's the Bitcoin Baron's Paradox: "After the first few million dollars, why cash out any more? Fiat currency is a downright dangerous place to park your money!" (It could get frozen, banks could fail, dollar could collapse, etc. Gold has jurisdictional risks. Bitcoin is the ideal place for savings, so even if the price rises there is no reason to cash out very much more.)
I believe the halfing will have strong impact and I think you answered your own question (why?) at least partly: a lot of coins are immobile.
You're looking at inflation rate. Let me offer another way to look at this:
(I'm assuming miners are selling 100% of mined coins for simplicity, the argument works with less)
3600 BTC are mined each day. At current market price that's $900,000 worth. These BTC are being bought every day by demand. Now this selling pressure halves and the demand stays the same. Surely what will happen is the price will rise. In case of constant demand of $900k/day it should rise to 500 USD/BTC (merely double). But neither supply nor demand stay constant in such a scenario: supply is likely to decrease, because miners get to hoard more and most importantly demand will rise. Yes, I know, economic theory says demand should drop with a higher price,... but that's forgetting human psychology and the hype a 100% price rise will cause. In other words: the halving (reduction of supply) itself is just the ignition, the real momentum comes from increase of demand.
It worked last time, I think the Q1 2013 rally was caused (or at least substantially contributed to) by the halfing.
Does this make sense at all or is it wishful thinking?
Demand should be expected to drop for two reasons:
1. If people expect the price to go up shortly before, at, or shortly after the halving then that is more reason to buy before and less reason to buy after. Demand induced by this effect will then remain low until close to the next halving.
2. Whether or not people expect the price to go up, if you are considering buying it is likely that liquidity to a buyer will decrease after the supply is cut in half (less miner selling) and you will face more slippage. So again it makes sense to buy before rather than after.
Both effects cause a pulling forward of demand, not unlike a temporary tax credit for say solar power.