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vazorg [7]
3 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]3 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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igor_vitrenko [27]

Answer:

Find attached

Explanation:

The present value of $97,000 per year after retirement for 35 years is computed thus:

=-pv(rate,nper,pmt,fv)

rate is the plan rate of return of 6.5%

nper is 35 years(years after retirement)

pmt is the amount required per year

fv is not applicable is taken as zero

=-pv(6.5%,35,97000,0)=$1,327,634.80  

The amount needed in the account at retirement is the future value of the plan.

Regular yearly payment into the plan is =pmt

=pmt(rate,nper,-pv,fv)

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8 0
3 years ago
Which one of the following descriptions best describes horizontal integration? 1) the economic development of the American West
blondinia [14]

Answer:

b

Explanation:

5 0
3 years ago
Mendrisio Company purchased a piece of machinery for $30,000 on January 1, 2019, and has been depreciating the machine using the
aleksley [76]

Answer:

a. There is no entry required to record the accounting change

b. The journal entry to record depreciation for 2021 would be as follows:

                                   

                                         Debit      Credit

Depreciation Expense $3,000

    Accumulated Depreciation $3,000

Explanation:

According to the given data we have the following:

Sum of year digits=5(5+1)/2

Sum of year digits=(5*6)/2

Sum of year digits=15

Depreciation for year 2019=$30,000*5/15

Depreciation for year 2019=$10,000

Depreciation for year 2020=$30,000*4/15

Depreciation for year 2020=$8,000

Therefore, book value as on january 1, 2021=$30,000-$10,000-$8,000

book value as on january 1, 2021=$12,000

Revised useful life=6 years-2 years=4 years

Therefore, Revised depreciation for 2021=$12,000/4

Revised depreciation for 2021=$3,000

a. There is no entry required to record the accounting change

b. The journal entry to record depreciation for 2021 would be as follows:

                                   

                                         Debit      Credit

Depreciation Expense $3,000

    Accumulated Depreciation $3,000

3 0
2 years ago
Find the future values of these ordinary annuities. Compounding occurs once a year. Round your answers to the nearest cent. $200
PIT_PIT [208]

Answer:

Normal:

$ 3,509.7470

$    563.7093

$ 2,000.00

Due:    

 $3,930.9167

 $   597.5319

 $ 2,000.00

Explanation:

We solve using the formula for common annuity and annuity-due on each case:

C \times \frac{(1+r)^{time} }{rate} = FV\\

C \times \frac{(1+r)^{time} }{rate}(1+rate) = FV\\ (annuity-due)

<u>First:</u>

C 200.00

time 10

rate 0.12

200 \times \frac{11+0.12)^{10} }{0.12} = FV\\

200 \times \frac{11+0.12)^{10} }{0.12}(1+0.12) = FV\\

Normal:  $3,509.7470

Due:       $3,930.9167

<u>Second:</u>

100 \times \frac{(1+0.06)^{5} }{0.06} = FV\\

100 \times \frac{(1+0.06)^{5} }{0.06} (1+0.06)= FV\\

$563.7093

$597.5319

<u>Third:</u>

No interest so no time value of money the future value is the same as the sum of the receipts regardless of time or being paid at the beginning or ending.

1,000  + 1,000 = 2,000

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Answer and Explanation:

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2. Investing activities : Since there is cash paid for buy the long term investment so the same is to be shown in the investing activities in a negative amount

3. Financing activities : Since the cash is received so the same is to be shown in the financing activities in a positive amount

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5. Financing activities  : Since the cash is paid so the same is to be shown in the financing activities in a negative amount

6. Operating activities : Since the cash is received so the same is to be shown in the operating activities in the direct method as a positive amount  

7. Operating activities  : Since the inventories are purchased so the same is to be shown in the operating activities in the direct method as a negative amount  

8. Operating activities : Since the cash is paid so the same is to be shown in the operating activities in the direct method as a negative amount  

9. Operating activities  : Since the cash is paid so the same is to be shown in the operating activities in the direct method as a negative amount  

10. Investing activities : Since the investment is sold  so the same is to be shown in the investing activities in a positive amount

4 0
3 years ago
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