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# Summary

The prices of inflation options give the cost of insuring against extreme events. They reveal the probability of these events as perceived by market participants. However, to construct probabilities of inflation disasters at the conventional 5-year-5-year horizon, the standard option pricing formus have to be modified in three ways: to account for the erosion of the real value of the optionsâ€™ payoff, to account for the forward 5-year ahead starting horizon, and to account for the compensation for inflation risk. Below are data and figures for the probabilities of inflation disasters, making these adjustments. The data starts in January of 2011 and refers to US and EA inflation. This dataset can be **freely used** by other researchers.

The dataset will be updated regularly to reflect the latest data.

**Vintage 1:**The dataset was fist released in April of 2022 to cover probabilities until February 2022.**Vintage 2:**The dataset was updated in October 2023 to cover probabilities until August 2023.**Vintage 3:**The dataset was updated in August 2024 to cover probabilities until April 2024.

# Authors and Reference:

How Likely Is an Inflation Disaster? (2022), CEPR discussion paper 17224. bibtex

- Jens Hilscher
- Alon Raviv
- Ricardo Reis
- Acknowledgments: Daniel Albuquerque, Marina Feliciano, Seyed Mahdi Hosseini, Anna Pilipentseva, Rui Sousa, and Borui Zhu provided excellent research assistance.

# Probabilities of disaster

Download in Stata dta format:

# Variables

The data are time series for different inflation disaster probabilities

Column | Description |
---|---|

`date_ym` |
Date year-month |

`date_stata` |
Date in Stata format |

`higher4_5y5y` |
Baseline estimates, more than 4% |

`higher5_5y5y` |
Baseline estimates, more than 5% |

`lower0_5y5y` |
Baseline estimates, less than 0% |

`lowerm1_5y5y` |
Baseline estimates, less than -1% |

`zc_higher4_5y` |
No horizon adjustment, higher than 4%, 5 year horizon |

`zc_higher5_5y` |
No horizon adjustment, higher than 5%, 5 year horizon |

`zc_lower0_5y` |
No horizon adjustment, lower than 0%, 5 year horizon |

`zc_lowerm1_5y` |
No horizon adjustment, lower than -1%, 5 year horizon |

`zc_higher4_10y` |
No horizon adjustment, higher than 4%, 10 year horizon |

`zc_higher5_10y` |
No horizon adjustment, higher than 5%, 10 year horizon |

`zc_lower0_10y` |
No horizon adjustment, lower than 0%, 10 year horizon |

`zc_lowerm1_10y` |
No horizon adjustment, lower than -1%, 10 year horizon |

# Latest Figures (from 01/20 to 04/24)

## Main estimates, high inflation, US

Probability that inflation is above 4% (5%) on average in five years for five years (so, e.g., estimate in April 2024 is for annualized inflation between April 2029 and April 2034.

## Main estimates, high inflation, EA

Probability that inflation is above 4% (5%) on average in five years for five years (so, e.g., estimate in April 2024 is for annualized inflation between April 2029 and April 2034.)

## Main estimates, deflation, US

Probability that inflation is below 0% (-1%) on average in five years for five years (so, e.g., estimate in April 2024 is for annualized inflation between April 2029 and April 2034.)

## Main estimates, deflation, EA

Probability that inflation is below 0% (-1%) on average in five years for five years (so, e.g., estimate in April 2024 is for annualized inflation between April 2029 and April 2034).

## Shorter 5-year horizon, US and EA

Probability that inflation is above 4% (5%) on average over the next five years (so, e.g., estimate in April 2024 is for annualized inflation between April 2024 and April 2029).

## Densities for 10-year horizon, without risk adjustment, US

Probability densities for inflation, on average over next 10 years (starting from date in label), including risk compensation (would only coincide with actual probabilities if investors were risk neutral).

## Densities for 10-year horizon, without risk adjustment, EA

Probability densities for inflation, on average over next 10 years (starting from date in label), including risk compensation (would only coincide with actual probabilities if investors were risk neutral).

# Usage

Please cite if use, and e-mail the authors with suggested corrections.