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5.9 Preferred Shares

Learning Outcomes

Calculate the fair market value and gain (or loss) when purchasing preferred shares.

When a company is looking to raise funds, they can issue preferred shares.  A preferred share has no maturity date (no expiration date or fixed term) but will stop regular payments if the company stops making a profit or goes out of business.  Because we usually have no way of knowing when a business will end or stop making profits, we will treat preferred shares like perpetuities and assume the profits (and therefore regular payments) will continue indefinitely (forever).

Let us first understand some of the terminology:

  • Dividend: The regular payment (PMT) paid by the issuer of the preferred share.  The value of this dividend remains fixed and does not change through the lifetime of the share.
  • Price: The selling price of the share (PV). This is the fair market value (ie: what you are willing to pay for the share).
  • Market Rate: The current interest rate (I/Y).

See the sections below for the key formulas, tips and examples related to calculating values for preferred shares.


  1. Again, this is because the payments continue on forever and 1000 years is the closest to forever that we can input in the BAII Plus
  2. It does not actually matter what sign we input for PMT because we will be calculating PV each time. If ever we were inputting both PV and PMT into the BAII Plus, we would need to make sure they are opposite in sign.
  3. It does not matter what sign we use for PMT (as we are computing the PV).
  4. If ever both were being entered into the BAII plus - we should enter PMT as positive and PV as negative or at least use opposite signs for PV and PMT.
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