Length of time is unknown. There's just too many variables. Quality control of each individual component, quality control on the buildout, your personal usage, games played, demands by gpu and cpu etc, even as far as the electric stability from the wall, is it closer to 110v with higher amperage draw or closer to 125v with lower draw. Half a hundred different things. You could be good for 12 months or 12 minutes. There's ppl who ran a TR2 for 6 years no issues or a old Corsair CX for over 4 years with no issues and some that didn't even make it through a stability test and 'poof'. There's no guarantee on anything, there's even no absolute saying you have to replace the BV you have now, it's obviously working currently, but overall experience with low end units in general, such as the BV, it becomes not so much a matter of 'if' but 'when' something will happen. The outputs on that BV aren't all that clean, DC voltage is supposed to be a solid, straight voltage, but psus can't do that, convert AC to DC perfectly. So the output always has some ripple in it. The better psus have circuitry to eliminate as much of that ripple as possible, as clean a DC output as it can be, lower end units are to cheap to include as much. So you end up with almost as much as an AC voltage, not so much DC voltage, and that stresses everything, especially when you are trying to get stable voltages in the 1.0v range on cpu, 1.35v on ram etc. Having ram voltage bounce between 1.345 and 1.355v doesn't do any stability any good as amperage draw will change to keep the wattage necessary. All in all, low end units cause more damage over time, with higher chances of failure, so general wisdom demands replace the psu.
Spend $50 on a low end psu or $80 on something far better. That's a measly $30 difference to protect the health and safety of a $1000+ pc. Really cheap insurance when you figure the pc should last you the next 5 years or so.