Cash flow fundamentals — select the correct statements Which statements best describe cash flow concepts and the end-of-period convention used in time value analysis?
-
AReceipts and disbursements within a time interval are called cash flow.
-
BAssuming all cash flows occur at the end of each interest period is called the end-of-period convention.
-
CA cash flow diagram is a time-scale plot of cash flows.
-
DThe diagram states the problem and indicates what is given and what is to be found.
-
EAll of the above.
Answer
Correct Answer: All of the above.
Explanation
Introduction / Context:Time value of money relies on mapping cash flows to a timeline and discounting or compounding accordingly. Clear definitions and conventions simplify calculations, comparisons, and communication among engineers and financial analysts.
Given Data / Assumptions:
- Interest periods are uniform unless stated otherwise.
- Cash flow signs: positive for receipts, negative for disbursements.
- End-of-period convention is used unless a beginning-of-period (annuity due) is specified.
Concept / Approach:Defining cash flows precisely avoids double-counting and misplacement errors on the timeline. The end-of-period convention standardizes timing so present worth and future worth formulas are applied consistently. Diagrams help frame knowns, unknowns, and relationships before calculation.
Step-by-Step Solution:Identify the nature of cash flows: streams of receipts/disbursements over time.Apply the convention: place routine payments at the end of each period unless otherwise stated.Use a cash flow diagram to visualize amounts at specific times (0, 1, 2, …, n).State what is given (amounts, rate, periods) and what must be found (PW, FW, IRR, etc.).
Verification / Alternative check:Worked examples universally start with a cash flow diagram, then choose PW/FW/annual worth methods consistent with timing assumptions.
Why Other Options Are Wrong:Options a–d are all correct individually; therefore the correct comprehensive choice is “All of the above”.
Common Pitfalls:
- Mixing end-of-period and beginning-of-period assumptions mid-problem.
- Forgetting sign convention, which flips PW/NPV results.
Final Answer:All of the above.