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Calculate the following for a CDB investment: a) the gross amount of the investment, b) the gross return of the investment, c) the income tax withh...

Calculate the following for a CDB investment: a) the gross amount of the investment, b) the gross return of the investment, c) the income tax withheld, d) the net amount (after deducting income tax), e) the effective net rate of the investment, f) the annual equivalent rate to the effective net rate obtained in the previous item.

FV = 50.000 (1 + 0,16) ^ 45/360 = R$ 50.936,28
Rendimento bruto: R$ 50.936,28 - R$ 50.000,00 = R$ 936,28
Income tax: R$ 936,28 x 0,2250 = R$ 210,66
Net amount: R$ 50.936,28 - R$ 210,66 = R$ 50.725,62
Effective net rate: i = ML / C - 1 = R$ 50.725,62 / R$ 50.000,00 - 1 = 0,01451 = 1,4512%
Annual equivalent rate to the effective net rate obtained: to be calculated

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AULA 13 - PRODUTOS FINANCEIROS
13 pág.

Contabilidade / Ciências Contábeis Universidade PaulistaUniversidade Paulista

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Sure! Let's calculate the annual equivalent rate to the effective net rate obtained. To calculate the annual equivalent rate, we can use the formula: (1 + i) = (1 + r)^(n/m) Where: i = annual equivalent rate r = effective net rate n = number of days in a year (365) m = number of days in the investment period (45) In this case, the effective net rate (r) is 1.4512% and the investment period (m) is 45 days. Let's substitute the values into the formula: (1 + i) = (1 + 0.014512)^(365/45) Now, let's solve for i: (1 + i) = (1.014512)^(8.1111) Taking the 8.1111th root of both sides: 1 + i = 1.014512 Subtracting 1 from both sides: i = 0.014512 Therefore, the annual equivalent rate to the effective net rate obtained is approximately 1.4512%. I hope this helps! Let me know if you have any other questions.

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