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On the first day of 2017, B shares were trading at 50 USD per share. The...

On the first day of 2017, B shares were trading at 50 USD per share. The shares pay a quarterly dividend of 0.60c per share if the shareholder has held the share for at least 10 days before the dividend payment. Calculate the fair strike of the one year forward on B given that the USD interest rate is 1%.

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Answer #1

Fo = So less present value of dividend

Fo = Future price

So = spot price

Fo = 50 -[0.6e^-1%*3/12 + 0.6e^-1%*6/12 + 0.6e^-1%*9/12 + 0.6e^-1%*12/12]

=50 - [0.6e^-0.25% +0.6e^-0.5% + 0.6e^-0.75% +0.6e^-1%]

=50- [(0.6/1.0025) + (0.6/1.005) + (0.6/1.0075) + (0.6/1.01)]

=50-[0.5985 +0.5970 + 0.5955 + 0.5941]

=50-2.3851

=47.615$

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