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vazorg [7]
2 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]2 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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The economy of Elmendyn contains 900 $1 bills. If people hold all money as currency, the quantity of money is $ . If people hold
Anettt [7]

Answer:

a)    900 dollar as all is M0

b)    900 as the deposit have no multiplier effect

c)    900 as there is no multiplier effect

d) 7,200 taking into consideration the multipler effect from the bank deposit.

e) 4,050 considering the deposit multiplier effect

Explanation:

a; b ; c ) as there is no multiplier effect the quantity of money matches the nominal currency.

d)

M0 (currency and coins) 0

M1 900 / 0.125 =  7,200

e)

currency : 900 / 2 = 450 M0

deposit :

450 / 0.125 = 3,600 M1

Total 4,050

7 0
2 years ago
Taunton's is an all-equity firm that has 152,500 shares of stock outstanding. The CFO is considering borrowing $251,000 at 7 per
Ann [662]

Solution:

Price per share  

= Total Borrowing /No of shares repurchase

= 251,000 /21,500 = $ 11.67

Total Equity   = (Shares outstanding-Shares repurchased) * Price per share          

                     = (152,500 -21,500 )*11.67

                     = $1,274,095

Debt = $ 251,000

Value of the firm = Equity+Debt

                           =  1,274,095 + 251,000

                          = 1,525,095

Value of the firm = $1,525,095

6 0
1 year ago
An owner had a profit margin of 50,000 last year.
babunello [35]
1,200,000 is the answer i think, depends 2 what it rounds 2 
3 0
1 year ago
Read 2 more answers
For product W, a firm has an annual holding cost percentage of 20%, an ordering cost of $110 per order, and annual demand of 15,
Rudiy27

Answer:

812.40 units

Explanation:

Given that,

Annual holding cost percentage = 20%

Ordering cost = $110 per order

Annual demand = 15,000 units

Units Ordered - Price Per Unit

1-250 - $30.00

251-500 - $28.00

501-750 - $26.00

751 and up - $25.00

Optimal order quantity:

= \sqrt{\frac{2\times Annual\ demand\times Cost\ per\ order}{Holding\ cost} }

= \sqrt{\frac{2\times 15,000\times 110}{25\times0.2} }

= \sqrt{\frac{3,300,000}{5} }

= 812.40

Therefore, the optimal order quantity is 812.40 units.

3 0
1 year ago
An arm loan has a 4.00% start rate, and it is time for the first adjustment to be made. it has a periodic cap of 1% and a lifeti
Lena [83]

The rate after its first adjustment is 5%. The ARM adjustment would be controlled by the periodic cap, because the "true rate" or "fully-indexed rate" is 6.00% (1%+5%). Because the periodic cap prevents the start rate from moving any more than 2% at any given adjustment, the first move can only go as high as 5.00%.

5 0
2 years ago
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