Very few expect a stable growth. In my view stabilty is a must
Stability isn't a must. If you look at how Bitcoin has been performing price wise, then since its very first exchange listing, till now, the market has been one big roller coaster. Most important factor is to realize growth throughout the years, and that's exactly what has happened. 
but I prefer the growth has to happen in large scale and minor fluctuations need to take place regularly within the range of $50 and above.
Fluctuations of $50? What a joke. In current times we're already experiencing 10% swings, which is likely going to get worse in terms of swings in fiat equivalent. Don't forget that the higher the price is, the lower the overall buy support is. If we at some point break through the $10,000 level, the 10% swings that are valued at ~$250 right now, will then be valued at ~$1000.I think you are noticing price chart continuously, if you checked the price changes from the yesterday to today also you can find the nearly 60$ changes on the chart.
I think it will break the 10000$ value dream due to adoption rate increased from the past this year starting onwards. However, this should continue from that value to touch.