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#' Calculates the compound interest rate for a loan
#'
#' Based on period interest rate, number of periods, and loan amount, this function calculates
#' the compound annual interest rate of the loan based on the monthly repayment.
#' It calculates based on a fixed interest rate, FV=0, and charging is
#' at the end of the period.
#'
#' @param nper Number of periods - monthly
#' @param pmt Instalment per period (should be negative)
#' @param pv Present value i.e. loan advance (should be positive)
#' @param fv Future value i.e. redemption amount
#'
#' @return rate The effective interest rate per year
#'
#' @keywords financial pv pmt apr
#' @seealso \code{\link{RATE}}
#' @family finance
#' @export
#'
#' @examples
#' # single set of values
#' APR(12,-10,110)
#'
#' # vector of values
#' df<-data.frame(nper=c(12,24),pmt=c(-10,-10),pv=c(110,220))
#' APR(df$nper,df$pmt,df$pv)
#'
APR <- function(nper, pmt, pv, fv = 0) {
stopifnot(nper >= 1, pmt < 0, pv > 0)
rate <- ((1 + RATE(nper, pmt, pv, fv))^12) - 1
return(rate)
}
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