If the PV of perpetual tax shields discounted at 5% equals 300, what is the approximate annual tax shield?

Study for the Finance and Investment Challenge Test. Approaches include flashcards and multiple-choice questions with hints and explanations. Ready yourself to ace the exam!

Multiple Choice

If the PV of perpetual tax shields discounted at 5% equals 300, what is the approximate annual tax shield?

Explanation:
The idea here is that a perpetual cash flow behaves like a perpetuity: its present value equals the annual cash flow divided by the discount rate. If the present value is 300 and the discount rate is 5% (0.05), the annual tax shield is 300 × 0.05 = 15. Check: a perpetuity paying 15 forever at 5% has value 15 / 0.05 = 300, which matches. So the approximate annual tax shield is 15.

The idea here is that a perpetual cash flow behaves like a perpetuity: its present value equals the annual cash flow divided by the discount rate. If the present value is 300 and the discount rate is 5% (0.05), the annual tax shield is 300 × 0.05 = 15. Check: a perpetuity paying 15 forever at 5% has value 15 / 0.05 = 300, which matches. So the approximate annual tax shield is 15.

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