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Suppose that the effective 1-year risk-free rate is 6% per annum. The value of the stock in 1 year is random and not known today.

Suppose that the effective 1-year risk-free rate is 6% per annum. The value of the stock in 1 year is random and not known today. The different possible values of the stock in 1 year are given in the table below. The corresponding risk-neutral probabilities are also shown in the table.

Value

$10

$12

$14

$15

$17

$22

$26

Risk Neutral Prob.

0.10

0.10

0.25

0.15

0.20

0.10

0.10

The annual cost-of-capital for the stock is 19.45%.

Find the fair value of the stock today.

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