Credibility of Optimal Forward Guidance at the Interest Rate Lower Bound, Accessible Data
Accessible version of figures
Figure 1: The Value of Commitment in a Stylized Model
Source: Simulation data created by the author.
| Period | Policy rate (Percent change, annual rate) | Inflation (Percent change, annual rate) | Output Gap (Percent) | |||
|---|---|---|---|---|---|---|
| Discretionary Policy | Commitment Policy | Discretionary Policy | Commitment Policy | Discretionary Policy | Commitment Policy | |
| 0 | 3.50 | 3.50 | 2.00 | 2.00 | 0.00 | 0.00 |
| 1 | 0.00 | 0.00 | 0.02 | 1.64 | -10.41 | -6.18 |
| 2 | 3.50 | 0.00 | 2.00 | 2.49 | 0.00 | 2.78 |
| 3 | 3.50 | 0.00 | 2.00 | 2.22 | 0.00 | 1.85 |
| 4 | 3.50 | 0.00 | 2.00 | 2.04 | 0.00 | 0.97 |
| 5 | 3.50 | 2.11 | 2.00 | 1.95 | 0.00 | 0.11 |
| 6 | 3.50 | 3.78 | 2.00 | 1.94 | 0.00 | -0.23 |
| 7 | 3.50 | 3.68 | 2.00 | 1.96 | 0.00 | -0.15 |
| 8 | 3.50 | 3.62 | 2.00 | 1.97 | 0.00 | -0.10 |
| 9 | 3.50 | 3.58 | 2.00 | 1.98 | 0.00 | -0.06 |
| 10 | 3.50 | 3.55 | 2.00 | 1.99 | 0.00 | -0.04 |
Figure 2: Costs and Benefits of Reneging on the Promise
Source: Simulation data created by the author.
| Quarterly crisis probability (percent) | Short-run benefit of reneging on the promise (Welfare loss) | Long-run cost of losing reputation (Welfare loss) |
|---|---|---|
| 0 | 0.014 | -0.010 |
| 0.01 | 0.014 | -0.006 |
| 0.02 | 0.014 | -0.002 |
| 0.03 | 0.014 | 0.002 |
| 0.04 | 0.014 | 0.006 |
| 0.05 | 0.014 | 0.009 |
| 0.06 | 0.014 | 0.013 |
| 0.07 | 0.014 | 0.017 |
| 0.08 | 0.014 | 0.021 |
| 0.09 | 0.014 | 0.025 |
| 0.1 | 0.014 | 0.029 |
| 0.11 | 0.014 | 0.033 |
| 0.12 | 0.014 | 0.037 |
| 0.13 | 0.014 | 0.041 |
| 0.14 | 0.014 | 0.044 |
| 0.15 | 0.014 | 0.048 |
| 0.16 | 0.014 | 0.052 |
| 0.17 | 0.014 | 0.056 |
| 0.18 | 0.014 | 0.060 |
| 0.19 | 0.014 | 0.064 |
| 0.2 | 0.014 | 0.068 |
| 0.21 | 0.014 | 0.072 |
| 0.22 | 0.014 | 0.076 |
| 0.23 | 0.014 | 0.080 |
| 0.24 | 0.014 | 0.084 |
| 0.25 | 0.014 | 0.088 |
| 0.26 | 0.014 | 0.092 |
| 0.27 | 0.014 | 0.096 |
| 0.28 | 0.014 | 0.100 |
| 0.29 | 0.014 | 0.104 |
| 0.3 | 0.014 | 0.108 |
| 0.31 | 0.014 | 0.112 |
| 0.32 | 0.014 | 0.116 |
| 0.33 | 0.014 | 0.120 |
| 0.34 | 0.014 | 0.124 |
| 0.35 | 0.014 | 0.128 |
| 0.36 | 0.014 | 0.132 |
| 0.37 | 0.014 | 0.137 |
| 0.38 | 0.014 | 0.141 |
| 0.39 | 0.014 | 0.145 |
| 0.4 | 0.014 | 0.149 |
| 0.41 | 0.014 | 0.153 |
| 0.42 | 0.014 | 0.157 |
| 0.43 | 0.014 | 0.161 |
| 0.44 | 0.014 | 0.165 |
| 0.45 | 0.014 | 0.169 |
| 0.46 | 0.014 | 0.173 |
| 0.47 | 0.014 | 0.177 |
| 0.48 | 0.014 | 0.182 |
| 0.49 | 0.014 | 0.186 |
| 0.5 | 0.014 | 0.190 |