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Preferred Share Valuation
Price of a preferred share is based on dividend and required rate of return. Treat preferred shares as ordinary perpetuities.
Preferred Share Pricing
- If dividend rate > required rate of return: Preferred shares are priced at a premium (Price > Book Value)
- If dividend rate < required rate of return: Preferred shares are priced at a discount (Price < Book Value)
- If dividend rate = required rate of return: Preferred shares are priced at par (Price = Book Value)
Computing the Dividend Payment
Based on the book value of the preferred shares and the dividend rate.

Computing the Price of a Preferred Share
- The present value of future dividends
- The required rate of return is used as the discount rate

Where:
P = Price of the preferred share
D = Dividend
r = Required rate of return

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Example: Preferred Shares
Wize Corporation has preferred shares outstanding with a book value of $80. The company pays a 5% dividend on these shares each year and investors require a return of 10%. What it the price of these shares?
Practice: Preferred Shares
ABC Inc. wishes to issue new preferred shares at par. It currently has existing preferred shares outstanding that are trading at $157.60 and pay an 8% annual dividend. If both the old and new preferred shares have a book value of $100, what should the dividend rate be on the new shares?
%
Round your final answer to 2 decimal places.