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defon
3 years ago
10

You have $ 10 comma 000 to invest. You decide to invest $ 20 comma 000 in Google and short sell $ 10 comma 000 worth of​ Yahoo!

Google's expected return is 15 % with a volatility of 30 % and​ Yahoo!'s expected return is 12 % with a volatility of 25 %. The stocks have a correlation of 0.90. What is the expected return and volatility of the​ portfolio? The expected return is
Business
1 answer:
Naddik [55]3 years ago
5 0

Answer:

expected return is 18%

volatility of the​ portfolio 13.23 %

Explanation:

Your Investment: $ 10,000

Invest $ 20,000 in Google, Google's expected return is 15 %

Sell $ 10,000 worth of​ Yahoo! Yahoo! Yahoo!'s expected return is 12 %

=> The weight of your portfolio is 2 for the Google stock, and -1 for the Yahoo stock.  The negative sign for the Yahoo stock indicates a short position in the stock. The expected return is the weighted average of the returns on the two stocks:

  • 2 * 15% + (-1) * 12% = 18%

The volatility of the portfolio is:

\sqrt{2^{2}*0.15^{2} + -1^{2}*0.25^{2} +2*2*(-1)*0.9*0.15*0.25 } = 13.23 %

You might be interested in
Leach Inc. experienced the following events for the first two years of its operations:
11111nata11111 [884]

Answer:

a.1) <u>year 1</u>

Issued $10,000 of common stock for cash.

Dr cash 10,000

    Cr common stock 10,000

Provided $78,000 of services on account.

Dr accounts receivable 78,000

    Cr service revenue 78,000

Provided $36,000 of services and received cash.

Dr cash 36,000

    Cr service revenue 36,000

Collected $69,000 cash from accounts receivable.

Dr cash 69,000

    Cr accounts receivable 69,000

Paid $38,000 of salaries expense for the year.

Dr wages expense 38,000

    Cr cash 38,000

Adjusted the accounting records to reflect uncollectible accounts expense for the year.  Leach estimates that 5 percent of the ending accounts receivable balance will be uncollectible.

Dr bad debt expense 450

    Cr accounts receivable 450

Closed the revenue account. Closed the expense account.

Dr service revenue 114,000

    Cr income summary 114,000

Dr income summary 38,450

    Cr wages expense 38,000

    Cr bad debt expense 450

Dr income summary 75,550

    Cr retained earnings 75,550

<h2>b.1) income statement year 1</h2>

Service revenue           $114,000

Expenses:

  • Wages $38,000
  • Bad debt $450    <u>($38,450)</u>

Net income                   $75,550

<h2>balance sheet year 1</h2>

Assets:

Cash $77,000

Accounts receivable $8,550

total assets                                           $85,550

Equity:

Common stock $10,000

Retained earnings $75,550

total equity                                            $85,550

<h2>statement of cash flows year 1</h2>

Cash flows form operating activities:

Net income                                      $75,550

adjustments:

Increase in accounts receivable     <u>($8,550)</u>

net cash from operating activities  $67,000

Cash flow from financing activities:

Common stocks issued                   <u>$10,000</u>

Net cash increase                           $77,000

beginning cash balance                <u>          $0</u>

Ending cash balance                      $87,000

a.2) <u>Year 2:</u>

Wrote off an uncollectible account for $650.

Dr bad debt expense 650

    Cr accounts receivable 650

Provided $88,000 of services on account.

Dr accounts receivable 88,000

    Cr service revenue 88,000

Provided $32,000 of services and collected cash.

Dr cash 32,000

    Cr service revenue 32,000

Collected $81,000 cash from accounts receivable.

Dr cash 81,000

    Cr accounts receivable 81,000

Paid $65,000 of salaries expense for the year.

Dr wages expense 65,000

    Cr cash 65,000

Adjusted the accounts to reflect uncollectible accounts expense for the year.  Leach estimates that 5 percent of the ending accounts receivable balance will be uncollectible.

Dr bad debt expense 745

    Cr accounts receivable 745

<h2>b.2) income statement year 2</h2>

Service revenue             $120,000

Expenses:

  • Wages $65,000
  • Bad debt $1,395    <u>($38,450)</u>

Net income                      $53,605

<h2>balance sheet year 2</h2>

Assets:

Cash $125,000

Accounts receivable $14,155

total assets                                           $139,155

Equity:

Common stock $10,000

Retained earnings $129,155

total equity                                            $139,155

<h2>statement of cash flows year 2</h2>

Cash flows form operating activities:

Net income                                      $53,605

adjustments:

Increase in accounts receivable     <u>($5,605)</u>

net cash from operating activities  $48,000

Net cash increase                           $48,000

beginning cash balance                <u> $77,000</u>

Ending cash balance                    $125,000

c) net realizable value of accounts receivable at year 1 = $8,550

net realizable value of accounts receivable at year 2 = $14,155

7 0
3 years ago
The unadjusted trial balance of PS Music as of July 31, 2016, along with the adjustment data for the two months ended July 31, 2
Masja [62]

Answer:

PS Music

1. End of Period Spreadsheet

13 Income Summary (Temporary accounts)

14 Fees Earned                      21,200.00

15 Wages Expense                 2,940.00

16 Office Rent Expense         2,550.00

17 Equipment Rent  Expense  1,375.00

18 Utilities Expense                 1,215.00

19 Music Expense                  3,610.00

20 Advertising Expense       1,500.00

21 Supplies Expense               925.00

22 Insurance Expense           225.00

23 Depreciation Expense        50.00

24 Miscellaneous Expense 1,855.00

Statement of Retained Earnings (Temporary accounts)

11 Retained Earnings

12 Dividends                       1,750.00

Balance Sheet (Permanent accounts)

1 Cash                                       9,945.00

2 Accounts Receivable            4,150.00

3 Supplies                                   275.00

4 Prepaid Insurance                2,475.00

5 Office Equipment                 7,500.00

6 Accumulated Depreciation

-Office Equipment                                          50.00

7 Accounts Payable                                  8,350.00

8 Wages Payable                                          140.00

9 Unearned Revenue                              3,600.00

10 Common Stock                                   9,000.00

11 Retained Earnings

2. PS Music

Income Statement for the year ended July 31, 2016

14 Fees Earned                                        $21,200.00

15 Wages Expense               $2,940.00

16 Office Rent Expense         2,550.00

17 Equipment Rent  Expense  1,375.00

18 Utilities Expense                 1,215.00

19 Music Expense                  3,610.00

20 Advertising Expense       1,500.00

21 Supplies Expense               925.00

22 Insurance Expense           225.00

23 Depreciation Expense        50.00

24 Miscellaneous Expense 1,855.00   $16,245.00

Net income                                             $4,955.00

Statement of Retained Earnings for the year ended July 31, 2016

11 Retained Earnings

Net income                      $4,955.00

12 Dividends                       1,750.00

Retained Earnings          $3,205.00

Balance Sheet as of July 31, 2016

1 Cash                                       9,945.00

2 Accounts Receivable            4,150.00

3 Supplies                                   275.00

4 Prepaid Insurance                2,475.00

Current assets                                            $16,845.00

5 Office Equipment                 7,500.00

6 Accumulated Depreciation       (50.00)    $7,450.00

Total assets                                               $24,295.00

Liabilities

7 Accounts Payable                8,350.00

8 Wages Payable                        140.00

9 Unearned Revenue            3,600.00   $12,090.00

10 Common Stock                 9,000.00

11 Retained Earnings             3,205.00    $12,275.00

Total liabilities and equity                       $24,295.00

3. A. Closing Journal Entries:

14 Debit Fees Earned $21,200.00

13 Credit Income Summary $21,200.00

To close the Fees Earned to Income Summary.

13 Debit Income Summary $16,245.00

Credit:

15 Wages Expense                 2,940.00

16 Office Rent Expense         2,550.00

17 Equipment Rent  Expense  1,375.00

18 Utilities Expense                 1,215.00

19 Music Expense                  3,610.00

20 Advertising Expense       1,500.00

21 Supplies Expense               925.00

22 Insurance Expense           225.00

23 Depreciation Expense        50.00

24 Miscellaneous Expense 1,855.00

To close the expenses to the Income Summary.

13 Debit Income Summary $4,955.00

11 Credit Retained Earnings $4,955.00

To close the net income to retained earnings.

11 Debit Retained Earnings $1,750.00

12 Credit Dividends $1,750.00

To close the dividends to retained earnings.

B. Posting the closing entries:

14 Fees Earned

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                                    21,200.00

Income Summary                 21,200.00

15 Wages Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   2,940.00

Income Summary                                       2,940.00

16 Office Rent Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   2,550.00

Income Summary                                       2,550.00

17 Equipment Rent  Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   1,375.00

Income Summary                                       1,375.00

18 Utilities Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   1,215.00

Income Summary                                       1,215.00

19 Music Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   3,610.00

Income Summary                                       3,610.00

20 Advertising Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   1,500.00

Income Summary                                       1,500.00

21 Supplies Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                       925.00

Income Summary                                        925.00

22 Insurance Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                      225.00

Income Summary                                       225.00

23 Depreciation Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                         50.00

Income Summary                                       50.00

24 Miscellaneous Expense

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                     1,855.00

Income Summary                                      1,855.00

11 Retained Earnings

ACCOUNT TITLE                         DEBIT    CREDIT

Income Summary                                    4,955.00

Dividends                                 1,750.00

Balance                                   3,205.00

12 Dividends

ACCOUNT TITLE                         DEBIT    CREDIT

Balance                                   1,750.00

11 Retained Earnings                               1,750.00

4. Post-Closing Trial Balance

August 1, 2016

ACCOUNT TITLE                         DEBIT    CREDIT

1 Cash                                       9,945.00

2 Accounts Receivable            4,150.00

3 Supplies                                   275.00

4 Prepaid Insurance                2,475.00

5 Office Equipment                 7,500.00

6 Accumulated Depreciation

-Office Equipment                                          50.00

7 Accounts Payable                                  8,350.00

8 Wages Payable                                          140.00

9 Unearned Revenue                              3,600.00

10 Common Stock                                   9,000.00

11 Retained Earnings                               3,205.00

Total                                    24,345.00 24,345.00

Explanation:

a) Data and Calculations:

PS Music

ADJUSTED TRIAL BALANCE

July 31, 2016

ACCOUNT TITLE                         DEBIT    CREDIT

1 Cash                                       9,945.00

2 Accounts Receivable            4,150.00

3 Supplies                                   275.00

4 Prepaid Insurance                2,475.00

5 Office Equipment                 7,500.00

6 Accumulated Depreciation

-Office Equipment                                          50.00

7 Accounts Payable                                  8,350.00

8 Wages Payable                                          140.00

9 Unearned Revenue                              3,600.00

10 Common Stock                                   9,000.00

11 Retained Earnings

12 Dividends                            1,750.00

13 Income Summary

14 Fees Earned                                     21,200.00

15 Wages Expense                 2,940.00

16 Office Rent Expense         2,550.00

17 Equipment Rent  Expense  1,375.00

18 Utilities Expense                 1,215.00

19 Music Expense                  3,610.00

20 Advertising Expense       1,500.00

21 Supplies Expense              925.00

22 Insurance Expense           225.00

23 Depreciation Expense        50.00

24 Miscellaneous Expense 1,855.00

25 Totals                           42,340.00 42,340.00

4 0
3 years ago
Suppose First Main Street Bank, Second Republic Bank, and Third Fidelity Bank all have zero excess reserves. The required reserv
lesantik [10]

Answer:

a) Assets: Reserves $200,000; Liabilities: Deposits $200,000

b) Amount Deposited: $2000,000; Change in Excess Reserves: $190,000; and Change in Required Reserves: $10,000

c) See the calculation below and the attached excel file for the table.

d) the $200,000 injection into the money supply results in an overall increase of <u>$4,000,000 </u>in demand deposits.

Explanation:

These can be answered as follows:

a) Complete the following table to reflect any changes in First Main Street Bank's T-account (before the bank makes any new loans).

Note: See the attached excel file for the table.

The $200,000 deposited by Lorenzo to First Main Street Bank led to the creation of both an asset and a liability for First Main Street Bank.

As a result, the reserve of the bank is increased by $200,000 on the asset side of the T-account. It is therefore now possible for the ban to grant loan to other customers from these additional reserves.

In addition, the demand deposit of the bank is increased by $200,000 on the liability side of the T-account. This is recorded as a demand deposit because it is possible for Lorenzo to come at any time to the band to withdraw his deposit either by using a debit card or by writing a check.

b) Complete the following table to show the effect of a new deposit on excess and required reserves when the required reserve ratio is 5%. Hint: If the change is negative, be sure to enter the value as negative number.

Note: See the attached excel file for the table. Just scroll the excel file down to part b.

The required reserve ratio of 5% indicates that First Main Street Bank has to hold 5% of the $200,000 the deposit or fresh fresh reserves, and this will result in having a 95% excess reserve which the bank can employ to grant loans.

From the amount deposited, the change in excess reserve and the change in the required reserve can be computed as follows:

Amount deposited = $200,000

Change in excess reserve = $200,000 * (1 - 5%) = $190,000

Change in required reserve = $200,000 * 5% = $10,000

c) Now, suppose First Main Street Bank loans out all of its new excess reserves to Juanita, who immediately uses the funds to write a check to Gilberto. Gilberto deposits the funds immediately into his checking account at Second Republic Bank. Then Second Republic Bank lends out all of its new excess reserves to Lorenzo, who writes a check to Neha, who deposits the money into her account at Third Fidelity Bank. Third Fidelity lends out all of its new excess reserves to Teresa as well.Fill in the following table to show the effect of this ongoing chain of events at each bank. Enter each answer to the nearest dollar.

Note: See the attached excel file for the table. Just scroll the excel file down to part c.

As already computed in part b above, we have the following to show the effect of this ongoing chain of events at each bank, we have:

<u>For First Main Street Bank:</u>

Increase deposit = Deposit from Lorenzo = $200,000

increase in required reserve = $200,000 * 5% = $10,000

Increase in loans = Loan to Juanita = $200,000 * (1 - 5%) = $190,000

<u>For Second Republic Bank:</u>

Increase deposit = Deposit from Gilberto = $190,000

Increase in required reserve = $190,000 * 5% = $9,500

Increase in Loans = Loans to Lorenzo = $190,000 * (1 - 5%) = $180,500

<u>For Third Fidelity Bank:</u>

Increase deposit = Deposit from Neha = $180,500

Increase in required reserve = $180,500 * 5% = $9,025

Increase in Loans = Loans to Teresa = $180,500 * (1 - 5%) = $171,475

d) Assume this process continues, with each successive loan deposited into a checking account and no banks keeping any excess reserves. Under these assumptions, the $200,000 injection into the money supply results in an overall increase of in demand deposits.

In order to calculate this, the formula for the money multiplier is used to multiply the initial deposit or injection of $200,000 by Lorenzo as follows:

Money multiplier = 1/r

Where r denotes required reserve ratio of 5%, or 0.05.

Therefore, we have:

Overall increase in demand deposits = Injection * (1 / r) = $200,000 * (1 / 0.05) = $200,000 * 20 = $4,000,000

Therefore, the $200,000 injection into the money supply results in an overall increase of <u>$4,000,000 </u>in demand deposits.

Download xlsx
8 0
3 years ago
Which of the following is a way for states or local governments to raise revenues immediately?
Simora [160]
A.
raise the sales tax a way for states or local governments to raise revenues immediately
8 0
3 years ago
Read 2 more answers
That a company chooses a new product to introduce into the market is a ▼ capital budgeting capital structure working capital man
SashulF [63]

Answer:

Capital budgeting

Capital Structure

Working Capital Management

Explanation:

When a company wants to introduce any new product in the market it will do the cost benefit analysis and will involve the capital budgeting decisions.

When any kind of bonds are sold, shares are issued, debentures are sold, then that is about creating source of capital that is about, capital structure decision.

When the decision is made relating to any current assets or current liabilities, it is refer to working capital decisions as the working capital includes decision of current assets and current liabilities.

3 0
3 years ago
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