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Pill 042 / 180 · Quantitative Methods Free sample

Time Value of Money: Present Value of a Perpetuity

A perpetuity pays a fixed amount forever. Because payments never end, you can't sum them one by one — but the geometric series collapses to a single division:

PV = PMT / r

Two things the exam loves to test: the formula gives the value one period before the first payment, and preferred stock with a fixed dividend is the classic real-world perpetuity.

A preferred stock pays a fixed $4.50 annual dividend. If the required return is 6%, its value is closest to:

✓ Correct — PV = 4.50 / 0.06 = $75.00. Answer A multiplies instead of dividing; answer C slips a decimal.

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Pill 118 / 180 · Fixed Income Subscribers
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