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A perpetuity pays $60 per year and trades at a price of $800. What discount rate is the market implying?

Model answer

7.5%.

Invert the perpetuity formula: P = C / r → r = C / P = 60 / 800.

Mental path: 60/800 = 6/80 = 3/40 = 7.5/100 = 7.5%. Or: 10% of 800 is 80, so $60 is…

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