How long would it take and at what rate of Growth for Chinas economy to catch up with Japans.? -

Anyone know how I would figure this out. I was given no details. How long would it take and at what rate of growth in % for china to catch Japan s economy. What about reaching the present japanese per capita income?

I think China has a larger total output already. On a per capita basis, Japan is around 33,500 ppp, China at 5,300. If China grows at 20% a year. and Japan at 1%, China will catch Japan in 2018. But 20% is not likely, lets see what happens at 10%. then we get China finally passing Japan in 2029. And still I suspect China will not grow at that pace for that long, so let s just say it is not going to happen in the next 20 years anyway.

China s economy is already bigger than Japan s. But per capita income is going to take a long time (assuming Chinese yuan doesn t rise and Japanese yen doesn t fall)