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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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On June 1, 2016, Enne Brahtz Corporation received $3,600 as advance payment for 12 months' advertising. The receipt was recorded
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Answer:

Unearned Fees ($3,600 × 6 months ÷ 12 months) $1,800

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The adjusting entry is shown below;

Unearned Fees ($3,600 × 6 months ÷ 12 months) $1,800

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Here we debited the unearned fees as it decreased the liability and credited the advertising revenue as it increased the revenue account

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On January 1, 2021, the general ledger of ACME Fireworks includes the following account balances:
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The Adjusted Trial Balance of ACME Fireworks on January 31, 2021 is as follows and totals $517,300 on both sides.

Adjusted Trial Balance

January 31, 2021

Accounts                                     Debit       Credit

Cash                                       $27,000

Accounts Receivable             188,400

Allowance for Uncollectible Accounts        $ 600

Inventory                                  15,000

Land                                        59,000

Equipment                               21,500

Redeemable Gift Cards                               8,200

Accumulated Depreciation                         2,800

Accounts Payable                                     86,800

Notes Payable (6%, due April 1, 2019)     63,000

Common Stock                                         48,000

Retained Earnings                                    27,900

Sales Revenue                                      280,000

Cost of Goods Sold            154,300

Salaries Expenses                52,100

Totals                              $ 517,300  $ 517,300

<u>Data and Calculations:</u>

ACME Fireworks General Ledger Account Balances

January 1, 2021

Accounts                                     Debit       Credit

Cash                                      $ 26,400

Accounts Receivable              48,800

Allowance for Uncollectible Accounts  $ 5,500

Inventory                                  21,300

Land                                        59,000

Equipment                               21,500

Accumulated Depreciation                       2,800

Accounts Payable                                   29,800

Notes Payable (6%, due April 1, 2019)   63,000

Common Stock                                       48,000

Retained Earnings                                  27,900

Totals                               $ 177,000 $ 177,000

<u>Analysis of Transactions:</u>

Jan. 2 Cash $8,200 Redeemable Gift Cards $8,200

Jan. 6 Inventory $148,000 Accounts Payable $148,000

Jan. 15 Accounts Receivable $136,000 Sales Revenue $136,000

Cost of Goods Sold $74,300 Inventory $74,300

Jan. 23 Cash $125,500 Accounts Receivable $125,500

Jan. 25 Accounts Payable $91,000 Cash $91,000

Jan. 28 Allowance for Uncollectible Accounts $4,900 Accounts Receivable $4,900

Jan. 30 Cash $10,000 Accounts Receivable $134,000 Sales Revenue $144,000

Cost of Goods Sold $80,000 Inventory $80,000

Jan. 31 Salaries Expense $52,100 Cash $52,100

<u>Adjustments of the Trial Balance with Transactions:</u>

Accounts                                     Debit       Credit

Cash                                    $ 26,400 + 8,200 + 125,500 - 91,000 + 10,000 - 52,100

Accounts Receivable            48,800 + 136,000 - 125,500 - 4,900 + 134,000

Allowance for Uncollectible Accounts  $ 5,500 - 4,900

Inventory                                  21,300 + 148,000 - 74,300 - 80,000

Land                                        59,000

Equipment                               21,500

Redeemable Gift Cards                                        8,200

Accumulated Depreciation                       2,800

Accounts Payable                                   29,800 + 148,000 - 91,000

Notes Payable (6%, due April 1, 2019)   63,000

Common Stock                                       48,000

Retained Earnings                                  27,900

Sales Revenue                                                136,000 + 144,000

Cost of Goods Sold              74,300 + 80,000

Salaries Expenses                52,100

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