Annuities & Perpetuities: Understanding cash flow streams

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A financial analyst is evaluating an investment that provides the following cash flows:

  1. A perpetuity that pays ₹10,000 annually, starting five years from today.
  2. An annuity due that pays ₹20,000 per year for 8 years, with payments starting immediately.
  3. A growing perpetuity that pays ₹5,000 in year 6, and grows at 3% per year indefinitely.

If the discount rate is 8% per annum, calculate the total present value of these cash flows today (Year 0).

Options:

A) ₹2,85,730
B) ₹3,12,450
C) ₹3,47,620

Anonymous Answered question March 11, 2025
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