The dealer Carga Pesada SA presents in its table for calculating installments, the coefficient 0.057 556 626 (called Capital Recovery Factor) for financing trucks in the plan (1+59) monthly and equal installments. Regarding sales carried out on credit by this reseller, the following statements were made: I. The monthly compound interest rate charged on credit sales is less than 5.6%.

Question
Answer:
Let's analyze the given information: 1. The dealer Carga Pesada SA has a "Capital Recovery Factor" of 0.057556626 for financing trucks in the plan (1+59) monthly and equal installments. The Capital Recovery Factor (CRF) is used to calculate equal monthly payments required to repay a loan with a given interest rate and term. In this case, the CRF is 0.057556626. Now, let's determine if the monthly compound interest rate charged on credit sales is less than 5.6%. To find the monthly interest rate (i), you can use the formula for calculating monthly payments (PMT) based on the CRF: PMT = Loan Amount Γ— CRF In this case, the CRF is 0.057556626. If we assume the loan amount is 1 (for simplicity), then: PMT = 1 Γ— 0.057556626 β‰ˆ 0.057556626 Now, we need to calculate the monthly interest rate (i) from the monthly payment (PMT) and the loan amount (L): PMT = L Γ— (i / (1 - (1 + i)^(-n))) Where: PMT = Monthly payment (0.057556626) L = Loan amount (1) i = Monthly interest rate (unknown) n = Total number of payments (59) Rearrange the formula to solve for i: i = ((PMT / L) - 1) / (-n) i = ((0.057556626 / 1) - 1) / (-59) i β‰ˆ (0.057556626 - 1) / (-59) i β‰ˆ (-0.942443374) / (-59) i β‰ˆ 0.015982177 The calculated monthly interest rate is approximately 0.015982177 or approximately 1.5982%. Now, let's compare this calculated monthly interest rate with 5.6%: The calculated monthly interest rate (approximately 1.5982%) is indeed less than 5.6%. So, Statement I is true: The monthly compound interest rate charged on credit sales is less than 5.6%.
solved
general 10 months ago 1562