# Convert Daily Gain to X-year Gain

### Description

Converts a daily proportion gain to a corresponding annual (or several year) gain. For example, an investment that gains 0.1% per day would gain approximately 28.5% in a year (251 trading days). The formula is: total.gain = (1 + daily.gain)^(251 * years) - 1. Here total.gain and daily.gain are proportions (e.g. 0.15 for 15%).

### Usage

1 | ```
daily.yearly(daily.gain, years = 1)
``` |

### Arguments

`daily.gain` |
Numeric value (or vector) representing the daily proportion gain of a security or investment. |

`years` |
Number of years over which you would like to calculate the corresponding total gain. For example, set to 3 if you wish to calculate the 3-year gain for a security that has a daily gain of daily.gain. |

### Value

Numeric value indicating total gain.

### Author(s)

Dane R. Van Domelen

### References

Acknowledgment: This material is based upon work supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-0940903.

### See Also

`yearly.daily`

, `convert.rate`

### Examples

1 2 3 4 5 | ```
# Calculate annual gain for an investment that gains 0.1% per day
daily.yearly(daily.gain = 0.001)
# Calculate 5-year gains corresponding to various daily gains
daily.yearly(daily.gain = seq(0, 0.01, 0.001), years = 5)
``` |