1x conversion?

I was just wondering if it was economically viable to convert my existing 3x9 speed to a 1x10 or 11 speed on my 2009 FSR Stumpjumper or just better to buy a new bike (when I can afford one
)? Has anyone else done the conversion on this frame?

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Go for a Shimano SLX shifter and rear mech (make sure you get the "Shadow PLUS" version) for about £45 altogether.
Sunrace MS3 11-42T cassette for less than £40,
Superstar IO Narrow-wide chainring about £15.
KMC X10 chain for about £10 on ebay.
Sunrace MX3 £48
KMC lightweight chain off eBay £13
Tiagra shifter (works with 9 speed mech) off eBay £23
Narrow Wide chainring off Pinkbike for £8.
Any frame will run 1x if it can run triple or double, there is nothing special about the frame in that respect. Was running 1x on my old 2006 framed Carrera hardtail and now on my 2006 frame FS. I also run 1x on my 1997 Gary Fisher Piranha town hack bike and was on my 2005 Carrera hybrid commuter (now a 2016 Planet-X frame).
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build
I have also just replaced the Fox triad shock with a 3016 Fox Float DPS Performance shock as the Triad was gubbed and needed a service or replacement. I've replaced the pivot bearings at the same time.
It is still cheaper than buying a new bike
1. New cassette (considering a 11-46t? might as well go for 11 speed if buying a new cassette and bigger range? )
2. New 11 speed shifter
3. New rear mech with clutch (to maintain chain tension)
4. New chainring - narrow-wide to help prevent chain coming off (maybe 32 or 34t?)
5. New 11 speed chain (as narrower than existing 9 speed to suit new 11 speed cassette)
plus a chain whip, cassette removal tool and some blue loctite (I think I already have all other tools)
My current setup is
22-32-44 chainrings
11-12-14-16-19-22-25-30-34 cassette
I'll loose a bit of gear ratio on the current highest possible gear (4.0 vs 2.9) but I rarely use it anyway.
Steep hills will be a bit harder to climb in lowest gear (0.65 vs 0.70) but I suppose I'll get stronger/fitter?
What's your thoughts?
Then it's up to you to decide, whether you need a 46T sprocket, but my money says that probably not. 11-46 range would IMHO be suitable for at least a 36T chainring.
Because if it turns out that you'd be fine with a 36T sprocket, all you need is to buy an 11-36 cassette and a narrow/wide chainring.
I was very opposed to 1x setup (as an XC rider), mainly because I did occasionally use the 22T chainring. The thing is, I probably mostly used out of habit ("you shall not cross they chain ever" they said). Around 0.9 should be enough to climb pretty much anywhere.
retired 9.6kg Carrera Kraken
The Carrera Hardtail combined thread - come on all you Carrera's!
The Sons Scott Genius RC20 build