/* * Copyright (c) 2012, 2013, Credit Suisse (Anatole Tresch), Werner Keil. Licensed under the Apache * License, Version 2.0 (the "License"); you may not use this file except in compliance with the * License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 * Unless required by applicable law or agreed to in writing, software distributed under the License * is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express * or implied. See the License for the specific language governing permissions and limitations under * the License. */ package org.javamoney.calc.common; import org.javamoney.calc.CalculationContext; import java.math.BigDecimal; import java.util.Objects; import javax.money.MonetaryAmount; import javax.money.MonetaryOperator; /** * <img src= "http://www.financeformulas.net/Formula%20Images/Annuity%20Payment%20(FV)%201.gif" /> * <p> * The annuity payment formula shown above is used to calculate the cash flows of an annuity when * future value is known. An annuity is denoted as a series of periodic payments. The annuity * payment formula shown here is specifically used when the future value is known, as opposed to the * annuity payment formula used when present value is known. There are not only mathematical * differences between calculating an annuity when present value is known and when future value is * known, but also differences in the real life application of the formulas. For example, if an * individual is wanting to calculate the payments on a loan, the original loan balance would be * considered the present value and the payment formula would accommodate this known variable. * However, if an individual is wanting to calculate how much they need to save per year in an * interest bearing account to have a certain balance after a specific period of time, then this * wanted balance would be considered the future value. The latter example would use the annuity * payment using future value formula as the balance is increasing instead of decreasing: * * @author Anatole Tresch * @author Werner Keil * @see http://www.financeformulas.net/Annuity-Payment-from-Future-Value.html */ final class FutureValueOfAnnuityPayment implements MonetaryOperator { /** * the target rate, not null. */ private Rate rate; /** * the periods, >= 0. */ private int periods; /** * Private constructor. * * @param rate the target rate, not null. * @param periods the periods, >= 0. */ FutureValueOfAnnuityPayment(Rate rate, int periods) { this.rate = Objects.requireNonNull(rate); if (periods < 0) { throw new IllegalArgumentException("Periods < 0"); } this.periods = periods; } /** * Access a MonetaryOperator for calculation. * * @param rate The discount rate, not null. * @param periods the target periods, >= 0. * @return the operator, never null. */ public static FutureValueOfAnnuityPayment of(Rate rate, int periods) { return new FutureValueOfAnnuityPayment(rate, periods); } /** * Performs the calculation. * * @param amount the first payment * @param rate The rate, not null. * @param periods the target periods, >= 0. * @return the resulting amount, never null. */ public static MonetaryAmount calculate(MonetaryAmount amount, Rate rate, int periods) { final BigDecimal ONE = CalculationContext.one(); return FutureValue.calculate(amount, rate, periods).divide( ONE.add(rate.get()).pow(periods) .subtract(ONE) ); } @Override public MonetaryAmount apply(MonetaryAmount amount) { return calculate(amount, rate, periods); } @Override public String toString() { return "FutureValueOfAnnuityPayment{" + "rate=" + rate + ", periods=" + periods + '}'; } }