Can China innovate? Is it in danger of a debt crisis? Will corruption be addressed? Do the new leaders have what it takes to steer the world's second largest economy?
Importantly, what will be the impact on the rest of the world?
These are some of the questions I will be tackling in my new programme, Talking Business with Linda Yueh.
We filmed the launch shows in Hong Kong this week.
China usually divides opinion, something that could be heightened further by the uncertainty surrounding its future course under its new leaders.
For instance, there was lively disagreement over the risks posed by the growth in debt and whether China can innovate.Significant concerns
Part of the problem is, as always, a lack of accurate statistics over the quality of debt, a situation that is worsened by the existence of unlicensed lending, the so-called shadow banks.
One of the most notable figures in Chinese private equity, Fred Hu of Primavera and the former head of Goldman Sachs in China, stressed how shadow banking is almost a misnomer if it leads to it being mistaken for what is found in the West.
Nevertheless, that sector and the rapid rise in debt in the past five years are significant concerns that we debated.
Whether China could innovate also split opinion. Views ranged from believing that China is already more innovative than the US to cautious optimism over the rise of Chinese tech companies.'What if'
Jim Rogers, who started the Quantum Fund with philanthropic investor George Soros, challenged the panel to identify a significant US innovation beyond the Apple i-products.
Others pointed to the lack of world-beating products from China, even though some products from tech companies such as Tencent's WeChat are gaining prominence across Asia.
Put another way, innovation and creativity are driven by the "what if" question. There isn't a direct Chinese phrase for "what if.".
Is it time to coin one?
These are the types of key issues in the world economy and global business we will cover each week.
It won't be a show solely for businesspeople - we will always draw out what it means for our everyday lives.
It is a half hour programme that delves into the vast changes in the world around us through lively discussions, original films, and interviews with newsmakers at work and at play.
Talking Business with Linda Yueh launches on 4 October on BBC World News and bbc.com.
Details on when to watch the new weekly show can be found here.