Whose cash flow is best described by the timeline shown below?

Date
(years) 0 1 2 3 4
Cash Flows -$3,500 $1,000 $1,000 $1,000 $1,000

Question

Whose cash flow is best described by the timeline shown below?

Date
(years)	0	1	2	3	4
Cash Flows	-$3,500	$1,000	$1,000	$1,000	$1,000

BlackTom AI · Accepted Answer

A negative cash flow at time 0 followed by equal positive cash inflows in later periods indicates someone pays out money initially and then receives repayments later.

1. Relevant concepts
- Cash-flow sign convention: negative = cash outflow (you pay or lend), positive = cash inflow (you receive).
- Interpretation of a timeline: the pattern of signs identifies whether the person is lender/investor (initial outflow, later inflows) or borrower (initial inflow, later outflows).
- Total repayment and interest: sum of future receipts minus initial outflow equals net gain (interest earned).

2. Step-by-step reasoning
- At t = 0 the cash flow is −$3,500. That means the person gives $3,500 away at time 0.
- At t = 1, 2, 3, 4 the cash flows are +$1,000 each. That means the person receives $1,000 in each of the next four years.
- This pattern (pay now, receive later) matches the role of a lender or investor who provides funds up front and then is repaid in installments.

3. Calculations (intermediate steps)
- Total amount received over years 1–4 = $1,000 × 4 = $4,000.
- Net receipts over the life of the loan/investment = $4,000 − $3,500 = $500 (this is the total interest earned).
- If this were a borrower instead, the timeline would show +$3,500 at t = 0 (they receive funds) and −$1,000 at t = 1–4 (they pay installments), which is not the case here.

4. Why the correct answer is correct
- The timeline shows an initial outflow of $3,500 and subsequent inflows of $1,000 annually for four years. That describes someone who gives a loan of $3,500 and then receives four repayments of $1,000. The provided answer — Fred loans a friend $3,500, and the friend pays back in four annual installments of $1,000 — precisely matches the cash-flow signs and amounts.

5. Why other interpretations are incorrect
- Borrower interpretation is incorrect because a borrower would have +$3,500 at t = 0 (cash received) and negative cash flows later (payments), which reverses the signs.
- Buying an asset that pays income could fit mathematically (you pay then receive), but the specific pattern of equal repayments that sum to a slightly larger amount than the outlay is characteristic of a loan with interest; the provided answer directly describes that loan scenario.

6. Conclusion
The timeline corresponds to Fred lending $3,500 and being repaid $1,000 each year for four years; this confirms the provided answer: Fred, who loans a friend $3,500, which friend then pays back the loan in four annual installments of $1,000.

Whose cash flow is best described by the timeline shown below? Date (years) 0 1 2 3 4 Cash Flows -$3,500 $1,000 $1,000 $1,000 $1,000单项选择题

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