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vazorg [7]
4 years ago
10

A stock price is currently $40. Over each of the next two three-month periods it is expected to go up by 10% or down by 10% (mea

ning, precisely, if the stock price at the start of a period is $40, it will go to $40*1.1=$44 or to $40*0.9=$36 at the end of the period and if the stock price at the start of a period is $44, it will go to $44*1.1=$48.44 or to $44*0.9=$39.6 at the end of the period). The risk-free interest rate is 12% per annum with continuous compounding. a. What is the value of a six-month European put option with a strike price of $42? b. What is the value of a six-month American put option with a strike price of $42? c. What is the value of a six-month American put option with a strike price of $45? What do you conclude about whether or not it is optimal to exercise this American option immediately (Hint: What would be the value of this American option if it were to be exercised immediately)
Business
1 answer:
ad-work [718]4 years ago
4 0

Answer:

Explanation:

The Risk neutral probability is given by

e rt − D / U-D

U=1.1

D=0.9

R=0.12

T=3/12

π u = e∧ 0.12 ∗ 3 / 12 − 0.9 /1.1 − 0.9

 =0.652

π d = 1− 0.652 = 0.348

The values of american and european options at each node is given in the following table.

                                    0.652  

                                                                                                    0  

                                                                0.81   48.4  

                                                                0.652    

                                                                0.81    

American option value     2.54         44    

probability                    0.652/0.3478'  

Option value                     2.12        2.4  

Futures price                        40           6      39.6  

                                                               0.3478    

                                                               4.76    

                                                                  36    

                                                                                           0.3478  

                                                                                           9.6  

                                                                                          32.4  

Time period                         0      3           6

the value at up node at 3 months is given by = ( 0.652∗ 0 ) + ( 0.3478 ∗ 2.4 )/e ∧0.12 ∗ 3 / 12 = 0.81

Hence, value of european put option =$2.12

Value of American put option = 2.54

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Kruka [31]

Answer:

The correct answer is letter "D": gender.

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6 0
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Mademuasel [1]

When the price of foreign inputs falls, the U.S. SRAS curve option (b)i.e, shifts rightward; which tends to reduce the U.S. price level.

<h3>What is the SRAS curve?</h3>

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7 0
2 years ago
Nick lives in San Diego and loves to eat desserts. He spends his entire weekly allowance on jello and pie. A bowl of jello is pr
OlgaM077 [116]

Answer:

Yes.

Explanation:

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At his current consumption point, Nick's marginal rate of substitution (MRS) of jello for pie = 3

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Vesna [10]

Answer:

Avoid losing future refunds.

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Trava [24]

Answer:

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Luis does not want to do his shopping at big box stores but prefers to shop locally. So when he reads about one of the big box stores (which is not his preference) is doing a big sale next week, he does not remember it because it is not consistent with what he wants. This is an example of selective retention.

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