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The stocks price S is $100. After three months, it either goes up and gets multiplied by the factor U = 1.13847256, or it goes

The stocks price S is $100. After three months, it either goes up and gets multiplied by the factor U = 1.13847256, or it goes down and gets multiplied by the factor

D = 0.88664332.

Options mature after T = 0.5 year and have a strike price of K = $105.

The continuously compounded risk-free interest rate r is 5 percent per year.

If the stock pays a $1 dividend just before the end of the first three months, then todays price of a European call is:

a.

$4.86

b.

$5.73

c.

$6.00

d.

$11.59

e.

None of these answers are correct.

ANS: B how?

If the stock pays a $1 dividend just before the end of the first three months, then todays price of a European put is:

a.

$2.44

b.

$5.73

c.

$9.12

d.

$16.03

e.

None of these answers are correct.

ANS: C how?

If the stock pays a 1 percent dividend just before the end of the first three months, then todays price of a European call is:

a.

$5.69

b.

$5.73

c.

$6.00

d.

$7.96

e.

None of these answers are correct.

ANS: A how?

If the stock pays a 1 percent dividend just before the end of the first three months, then todays price of a European put is:

a.

$8.41

b.

$9.09

c.

$9.12

d.

$10.03

e.

None of these answers are correct.

ANS: B how?

Todays price of an American call option is:

a.

$4.86

b.

$5.73

c.

$6.00

d.

$11.59

e.

None of these answers are correct.

ANS: C how?

Todays price of an American put option is:

a.

$8.41

b.

$9.05

c.

$9.12

d.

$10.03

e.

None of these answers are correct.

ANS: B how??

thanks!

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