Write a C++ program to create a Loan Authorization Calculator, which should produce a Monthly Payment Schedule for the entire Loan Period where the Monthly Installment should gradually increase so that the amount of the First Installment should be Half of the Last Installment. Implement your solution as per the following specifications. • User should input the value of P, R, and Y. • The program should calculate the value of r, n, x, and A. • The program should output the amount of each installments and sum of all Payments. Specifications Mathematical Notations Examples Input Principal Loan Amount Annual Interest Rate 500,000 20 Loan Period (Years) Processing /Calculations Monthly Interest Rate Y 5 R 1.01667 r =1+ 12 x 100 Loan Period (Months) Rate of Increase in Installments n = Y x 12 60 X = 1.01182 "x (r – x) p" – x" Instalment Base 9722.16 A = Px-