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#' Calculate effective annual interest rate for a known nominal rate and
#' compounding period per year
#'
#' \code{effective_i} Compute future value nominal rate and
#' compounding period per year, and frequency.
#'
#' @param r nominal interest rate in decimal number
#' @param m number of compounding period per year
#' monthly = 12
#' Quarterly = 4
#' yearly = 1
#'
#'
#' @return effective_i
#'
#' @references
#' Newnan, D. G., Eschenbach, T. G., Lavelle, J. P., & Oxford, N. Y. (2020).
#' Engineering Economic Analysis (14th ed.).
#' New York, Oxford University Press.
#'
#' David, W., & Terry, R. (2012).
#' Fundamentals of Engineering Economics and Decision Analysis.
#' Springer Nature.
#'
#' @examples
#' # Result: effective_i =
#' effective_i (0.08, m = "yearly")
#'
#' @export
effective_i <- function (r, m = c("yearly", "quarterly", "monthly")){
# compute effective interest in percent
if (m == "yearly") {
m <- 1
effective_i <- (((1 + r/m) ^ m) - 1) * 100
}
else if (m == "quarterly") {
m <- 4
effective_i <- ((1 + r/m) ^ m - 1) * 100
}
else if (m == "monthly") {
m <- 12
effective_i <- ((1 + r/m) ^ m - 1) * 100
}
}
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