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IAI Actuarial Core Principles · Business Finance · Key principles of finance

Tara Industries expects to receive Rs 1,10,000 exactly one year from today. The appropriate annual discount rate is 10%. What is the present value of this receipt?

The present value is Rs 1,00,000. A single receipt one year away is discounted by dividing by (1 + rate), so 1,10,000 divided by 1.10 gives 1,00,000. Subtracting 10% of the cash flow would be wrong because the rate applies to the present value.

  1. ARs 99,000
  2. BRs 1,00,000Correct
  3. CRs 1,21,000
  4. DRs 1,10,000
  5. Rs 90,909

Explanation

PV = 1,10,000 / 1.10 = Rs 1,00,000. Rs 1,21,000 wrongly compounds the amount forward instead of discounting. Rs 99,000 subtracts 10% of the amount rather than dividing by 1.10.

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