Interconnected capital markets allow liquid global capital to flow into illiquid local assets. This paper documents how international capital impacts U.S. housing markets. Other countries introduced foreign-buyer taxes meant to deter Chinese housing investment beginning in 2011. We first show house prices grew 8 percentage points more in U.S. zipcodes with high foreign-born Chinese populations after 2011. Second, we use the international tax policy changes as a U.S. housing demand shock and estimate local house price and quantity elasticities with respect to international capital. We find that a 1% increase in instrumented foreign capital raises house prices at the zip code level by 0.55%, and housing supply by 0.005%. Finally, we use the two elasticities to construct a local house price elasticity of supply. We find that among the largest 100 CBSAs, supply elasticities vary between 0.01 and 0.5, suggesting that local housing markets are highly inelastic in the short run.