Financial Mathematical Correction - Caixa Econômica Competition

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Willian Capriata

Published on May 29, 2024
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01) A company invested R$300,000.00 in an investment with a term of 50 days, at an interest rate of 0.9% per month, under the simple interest regime. Consider a commercial month (30 days) for this operation, throughout the period. Then, it invested the entire amount from the previous operation in another investment, at a compound interest rate of 1.0% per month, for two months, redeeming the entire amount from this second investment. Consider that both operations are tax-free. Considering the initial value of the 1st investment and the final value of the 2nd investment, the value, in reais, that most closely matches the total interest obtained by the company is equal to: 02) To compose the working capital of his company, a businessman took out a loan of R$100,000.00, in January 2024, at a compound interest rate of 4% per month. In March 2024, after exactly 2 months, the first payment on the debt was made, paying half of the outstanding balance. In April, no payment was made, but the client intends to pay off the entire debt in May 2024, after exactly 4 months. Considering this capital flow, the closest value, in reais, to the outstanding balance of this loan, in May 2024, is: 03) A certain amount was loaned to a client in January 2024, at a rate of 20% per month, under the compound interest regime. In February 2024, there were no payments. In March 2024, exactly two months after the loan date, the client paid R$1,440.00. And one month later, in April 2024, he paid R$1,728.00, paying off the debt. The loan amount taken out in January 2024, in reais, was equal to: 04) A customer purchased a property worth R$600,000.00. To do so, he paid 20% of this amount as a down payment in December 2023 and financed the remainder in monthly installments under the Constant Amortization System (SAC), at a rate of 0.5% per month, over a 20-year term, with the first installment in January 2024 and the last in December 2043. Consider that the monthly installment will consist of interest, amortization and a fixed fee of R$100.00 per month (in 2024) for insurance. Also consider that all installments of this financing are paid on time. The sum of the first 12 installments (for the period from January 2024 to December 2024) to be paid, in reais, by this customer in this financing will be equal to 05) In a certain country, the law requires that the monthly rate and the equivalent annual rate be displayed, in the compound interest regime, together with the price of the product that will be financed. Considering that an establishment charges a monthly interest rate of 5% per month, this annual rate is approximately _______________________________________________ Capriata Education Preparatory Courses⤵️ ???? Financial Certifications: ✔️ CPA-10: https://bit.ly/3UQ8NYz ✔️ CPA-20: https://bit.ly/48u21Lc ✔️ CEA: https://bit.ly/49qC3tl ✔️ ANCORD: https://bit.ly/3IasFOp ???? HANDOUTS for Public Exams: ✔️ HANDOUTS: https://bit.ly/3yOCbkY ???? Playlist Links: ▶️ Banco do Nordeste (BNB) Exam: ???? banking knowledge: https://bit.ly/3Sl7D4t ????Financial Mathematics: https://bit.ly/3tUfs95 ▶️Caixa Econômica (CEF) Competition: ????Banking Knowledge: https://bit.ly/4940HPA ????Financial Mathematics: https://bit.ly/3tUfs95 ????Information Technology: https://bit.ly/48Hmkpn ????Ethics and Compliance: https://bit.ly/3SNsVIa Subscribe to our channel :)

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