We compare the differences between the Chinese and U.S. bond risk premia. We find that the expectations hypothesis fails in the two bond markets: We identify the Chinese and U.S. bond time-varying risk premia by forecasting the corresponding excess return of n-year bond using the n-year forward rate and n-year forward spread, respectively. To focus on the systematical forecasts, we then combine the forward rates at different maturities as the return-forecast factors. Unlike the one-factor model introduced by Cochrane and Piazzesi (2005), a two-factor model including level- and slope-based factors explains significantly Chinese bond premia with R2 up to 68%. More importantly, the slope-based factor sharply improves the performance of test. The results are robust with respect to measurement errors, multicollinearity and small-sample biases. Out-of-sample tests show that, in recent years, the U.S. bond market changes drastically, and tends to be like the Chinese market. We use the empirical results to calibrate the parameters of affine model, and find that the differences of bond premia between the two markets are caused by the differences of dynamics of state variables and risk attitude of investor.

Studies of the dynamics of bond risk premia that do not account for the corresponding dynamics of bond risk are hard to interpret. We propose a new approach to modeling bond risk and risk premia. For each of the US and China, we reduce the government bond market to its first two principal-component bond-factor portfolios. For each bond-factor portfolio, we estimate the joint dynamics of its volatility and Sharpe ratio as functions of yield curve variables, and of VIX in the US. We have three main findings.(1) There is an important second factor in bond risk premia. (2) Time variation in bond return volatility is as important as time variation in bond Sharpe ratios. (3) Bond risk premia are solely compensation for bond risk, as no-arbitrage theory predicts. Our approach also allows us to document interesting cyclical and secular time-variation in the term structure of bond risk premia in both the US and China.