#' Convert Gain from One Time Interval to Another
#'
#' For example, you can use this function to figure out that an 8\% gain over 70
#' trading days corresponds to 31.9\% annualized.
#'
#'
#' @param gain Numeric vector specifying each gain to convert, e.g. 0.005 for
#' 0.5\%.
#' @param units.in Numeric value specifying the time period you want to convert
#' from.
#' @param units.out Numeric value specifying the time period you want to convert
#' to.
#'
#'
#' @return Numeric vector.
#'
#'
#' @examples
#' # Calculate annualized gain for an 8% gain over a 70-day period
#' convert_gain(gain = 0.08, units.in = 70, units.out = 252)
#'
#' # Calculate the annual growth rate of a fund that gains 0.02% per day
#' convert_gain(gain = 0.0002, units.in = 1, units.out = 252)
#'
#' # Calculate the annual growth rate of a fund that gains 1% per week
#' convert_gain(gain = 0.01, units.in = 1, units.out = 52)
#'
#' # You invest in AAPL and gain 0.5% in 17 business days. Express as a 5-year
#' # growth rate.
#' convert_gain(gain = 0.005, units.in = 17, units.out = 252 * 5)
#'
#' # Your portfolio has tripled in a 13-year period. Calculate your average
#' # annual gain.
#' convert_gain(gain = 2, units.in = 13, units.out = 1)
#'
#'
#' @export
convert_gain <- function(gain, units.in = 1, units.out = 1) {
((gain + 1)^(units.out / units.in)) - 1
}
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