Test: Module 01 — Introduction: Active vs. Passive Income¶

Instructions: Answer all questions. Write your answers directly below each question using the > Answer: format. Bonus questions are optional and can raise your score above 100%.

Total Points: 37 pts (Easy: 5 × 1pt + Medium: 5 × 2pts + Hard: 4 × 3pts + Expert: 2 × 5pts) Bonus Available: 5 pts

Section 1: Easy Questions (1 pt each)¶

Q1. What is the key difference between active income and passive income?

Q2. What does the acronym SELIC stand for, and what role does it play in Brazilian personal finance?

Q3. According to the investment pyramid described in this module, what should a person do BEFORE investing in ações (stocks)?

Q4. In Brazil, which of these renda fixa investments is EXEMPT from income tax for individual investors: CDB, Tesouro Selic, LCI, or Tesouro Prefixado?

Q5. What is the rule of thumb for how much should be in an emergency fund, expressed in months of expenses?

Section 2: Medium Questions (2 pts each)¶

Q6. Explain why keeping an emergency fund in poupança has a quantifiable financial cost in the current Brazilian rate environment (SELIC > 8.5%). Be specific about the rate comparison.

Q7. A CDB is advertised at 14% CDI for a 2-year term. An LCI is advertised at 11.5% CDI tax-free. An investor has a 2-year horizon. Which investment has a higher net yield? Show your calculation.

Q8. Brazil experienced hyperinflation in the 1980s and early 1990s. Explain how this historical context specifically shapes the behavior of Brazilian investors today — give two concrete behavioral effects.

Q9. Ana invests R$ 400/mês at 0.8%/mês for 30 years. Bruno invests R$ 800/mês at 0.8%/mês for 15 years. Without doing the full calculation (though you may), who do you expect to end up with more money, and why? What fundamental principle of compound interest drives your answer?

Q10. What is the tabela regressiva, and what is its practical implication for an investor who needs to redeem a CDB after only 6 months?

Section 3: Hard Questions (3 pts each)¶

Q11. Paula has the following financial situation: net salary R$ 4.800/mês, expenses R$ 4.000/mês, credit card debt R$ 8.000 at 15%/mês, no emergency fund, and R$ 2.000 in poupança.

Using the investment pyramid and the concepts from this module, write Paula a prioritized 3-step financial action plan. Justify each step with the underlying principle from this module.

Q12. The following statement is incorrect. Identify the error and provide the correct analysis:

"The 4% rule means I need to accumulate 4% of my annual expenses as an investment portfolio to retire. So if I spend R$ 60.000/year, I need R$ 2.400 invested."

Q13. An investor has R$ 100.000 to invest. They are considering three options: (A) keeping it all in a CDB liquidez diária at 100% CDI, (B) splitting 50% in Tesouro Selic and 50% in Tesouro IPCA+ 2029, or (C) putting it all into a single ação they believe will triple in value.

Using the investment pyramid and the module's frameworks, explain which option is appropriate for: (i) an emergency fund, (ii) a medium-term goal (buying a car in 3 years), and (iii) long-term wealth building with a 15-year horizon.

Q14. Examine this compound interest scenario and identify what is going wrong:

"Jorge invests R$ 1.000/mês for 20 years at 1%/mês. He calculates that he will have R$ 240.000 because 1.000 × 240 months = 240.000."

What is Jorge's actual final balance? What concept is he failing to apply? By how much is he underestimating his outcome?

Section 4: Expert Questions (5 pts each)¶

Q15. Brazil's real interest rates (SELIC minus IPCA) have historically been among the highest in the world. A financial advisor argues: "Because Brazilian renda fixa yields real returns of 5–6%, Brazilian investors don't need to take equity risk to build wealth — they can achieve financial independence purely through renda fixa instruments."

Evaluate this argument. Where is it correct? Where does it break down? Consider at minimum: inflation risk, sequence-of-returns risk, and the role of diversification across asset classes. Reference specific Brazilian instruments in your answer.

Q16. Design the optimal financial strategy for the following person, integrating all concepts from this module:

Profile: Fernanda, age 29, CLT worker, net income R$ 6.500/mês, monthly expenses R$ 4.800, no savings, no investments, no debt. Goal: financial independence by age 55 (26 years). She is willing to invest any surplus she has.

Your answer must include: (1) emergency fund plan with target and timeline, (2) investment pyramid allocation after emergency fund is complete, (3) a rough compound interest projection showing whether her goal is achievable at her current savings rate, and (4) any behavioral risks she should watch out for based on this module's content.

Bonus Question (5 pts)¶

Bonus 1. The "time value of money" is the principle that a real earned today is worth more than a real earned in the future. This module focuses on its positive application (compound growth). But the same principle has a dark side for consumers.

Explain how the time value of money works against someone who: (a) pays the minimum balance on a cartão de crédito charging 15%/mês, (b) takes out a consignado loan to buy a consumer product, and © delays building their emergency fund by 2 years while spending normally.

For (a), calculate how much R$ 5.000 of credit card debt grows to after 12 months at 15%/mês. (+5 pts)