From the cash-flow diagram (details summarized here), identify the correct interpretation: equal deposits of ₹3,000 per year begin immediately (annuity due), the interest rate is 10% per year, and the amount accumulated after the seventh deposit is required.

Difficulty: Easy

Correct Answer: All of these

Explanation:


Introduction / Context:
Cash-flow diagrams encode timing, amount, and interest assumptions. When deposits start “now,” the series is an annuity due, not an ordinary annuity. Recognizing this timing change is critical because it shifts the compounding window by one period and therefore increases the future value compared with end-of-period deposits.


Given Data / Assumptions:

  • Annual deposit A = ₹3,000.
  • Deposits start at t = 0 (annuity due), with 7 total deposits.
  • Interest rate i = 10% per year.
  • We need the amount just after the 7th deposit.


Concept / Approach:
For an annuity due, future worth after n deposits equals A * (F/A, i, n) * (1 + i). The extra factor (1 + i) accounts for the first deposit earning one additional period of interest versus an ordinary annuity. Interpreting the diagram correctly (start now, 7 deposits, 10% interest) ensures using the right factor and timing.


Step-by-Step Solution:

Identify timing: deposit at t = 0 means annuity due.Use formula: F_due = A * (F/A, 10%, 7) * (1 + 0.10).Plug A = 3000 to compute numerically if needed; the prompt only asks to confirm the interpretation.


Verification / Alternative check:

Construct a timeline and compound each ₹3,000 to time just after deposit 7; the sum matches the annuity-due factor result.


Why Other Options Are Wrong:

Each of a–c is a correct part of the diagram’s meaning; only “All of these” captures the entire interpretation.“None of these” ignores the clearly stated conditions.


Common Pitfalls:

Treating the deposits as ordinary annuity (end-of-period), which underestimates the future value.Forgetting that the “after 7th deposit” moment includes the just-made deposit.


Final Answer:

All of these

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