I have written about r-star twice this year. The first post tried to pin down Australia's natural rate the standard way, a Holston-Laubach-Williams state-space model, trend growth and the IS curve doing the identifying work. It couldn't be done. The IS curve coefficient on the real rate gap came out at around minus 0.05, against quarter-to-quarter noise of about 0.7. A signal one-fourteenth the size of the noise floor cannot identify anything. Every variant I tried failed the same way, the latent r-star collapsing onto whichever prior I fed it.
The second post started with the premise that liquidity is global, and in every country investment seeks out the best returns in the world. The standard approach to r-star instead asks Australian output and inflation to reveal the real interest rate that balances desired saving and investment, as though that equilibrium were fundamentally domestic. But saving and investment now meet in a global capital market. A single global market still leaves room for a country-specific wedge, the way a single global oil market leaves room for regional basis differentials between Brent, WTI and everything else. The wedge is the local story. The level it sits on top of is not.
This post takes that global understanding and uses it to model Australia's neutral real rate of interest, r-star. World r-star plus the Australian wedge gives Australian r-star, rather than Australian output, inflation and trend growth being asked to produce one on their own. Australia's own market tells you the wedge on top, not the underlying price.