A $1,000 face value preferred share with an annual coupon of $60
is available on the market. What is the value of this preferred
share if the relevant discount rate for valuation purposes is
7%?
Select one:
a. $1,062.22
b. $1,000.00
c. $857.14
d. $796.73
Solution:
The formula for calculating the value of a preferred share is
= Annual coupon / Discount rate
As per the information given in the question we have
Annual coupon = $ 60 ; Discount rate = 7 % = 0.07 ;
Applying the above information in the formula we have the value of preferred share as
= $ 60 / 0.07
= $ 857.142857
= $ 857.14 ( when rounded off to two decimal places )
Thus the value of this preferred share is = $ 857.14
The solution is option c. $ 857.14
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