* Caution reigns after disappointing China inflation reading* Global shares stabilise, Europe choppy on Shire M&A hit* Bond yields, oil prices hit fresh lows on demand fearsBy Lionel LaurentLONDON, Oct 15 (Reuters) - Persistent fears over the health of the global economic recovery kept bond yields and oil prices falling on Wednesday, even as shares broadly stabilised after days of steep losses.Mar