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tankabanditka [31]
3 years ago
5

Suppose you win $1 million in a lottery and your winnings are scheduled to be paid as follows: $400000 at the end of one year, $

400000 at the end of two years, and $200000 at the end of three years. If the interest rate is 5 percent, what is the present discounted value of your winnings
Business
1 answer:
masha68 [24]3 years ago
6 0

Answer:

The present discounted value of the winnings is $916,531.69.

Explanation:

The present discounted values of each of the payment can be calculated using the present value formula as follows:

PV = FV / (1 + r)^n ...................... (1)

Where;

PV = Present discounted value of payment at the end of specified year(s)

FV = Future value or the scheduled amount

r = interest rate

n = year in which the payment is scheduled to be paid

Using equation (1), we have:

PV of payment at the end of one year = $400000 / (1 + 5%)^1 = $380,952.38

PV of payment at the end of two years = $400000 / (1 + 5%)^2 = $362,811.79

PV of payment at the end of three years = $200000 / (1 + 5%)^3 = $172,767.52

The present discounted value of the winnings can now be calculated as the additions of the 3 PVs above as follows:

PV of the winnings = PV of payment at the end of one year + PV of payment at the end of two years + PV of payment at the end of three years = $380,952.38 + $362,811.79 + $172,767.52 = $916,531.69

Therefore, the present discounted value of the winnings is $916,531.69.

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4 years ago
For journal entries 1 through 12, select the letter of the explanation that most closely describes it in the space beside each e
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Question Completion:

For each of the following entries, select the letter of the explanation that most closely describes it in the space beside each entry. (You can use letters more than once.)

A. To record receipt of unearned revenue

B. To record this period's earning of prior unearned revenue

C. To record payment of an accrued expense

D. To record receipt of an accrued revenue

E. To record an accrued expense

F. To record an accrued revenue

G. To record this period's use of a prepaid expense

H. To record payment of a prepaid expense

I To record this period's depreciation expense

Journal Entries

Insurance Expense 1,900

Prepaid Insurance 1,900

Salaries Payable 3,900

Cash 3,900

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Cash 3,200

Salaries Expense 4,900

Salaries Payable 4,900

Interest Receivable 1,900

Interest Revenue 1,900

Cash 3,900

Accounts Receivable (from consulting) 3,900

Cash 5,900

Unearned Professional Fees 5,900

Cash 4,300

Interest Receivable 4,300

Rent Expense 8,000

Prepaid Rent 8,000

Interest Expense 6,300

Interest Payable 6,300

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Answer:

Journal Entries with appropriate descriptions:

Insurance Expense 1,900

Prepaid Insurance 1,900

G. To record this period's use of a prepaid expense

Salaries Payable 3,900

Cash 3,900

C. To record payment of an accrued expense

Prepaid Rent 3,200

Cash 3,200

H. To record payment of a prepaid expense

Salaries Expense 4,900

Salaries Payable 4,900

E. To record an accrued expense

Interest Receivable 1,900

Interest Revenue 1,900

F. To record an accrued revenue

Cash 3,900

Accounts Receivable (from consulting) 3,900

D. To record receipt of an accrued revenue

Cash 5,900

Unearned Professional Fees 5,900

A. To record receipt of unearned revenue

Cash 4,300

Interest Receivable 4,300

D. To record receipt of an accrued revenue

Rent Expense 8,000

Prepaid Rent 8,000

G. To record this period's use of a prepaid expense

Interest Expense 6,300

Interest Payable 6,300

E. To record an accrued expense

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Accumulated Depreciation 1,300

I To record this period's depreciation expense

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Professional Fees Earned 1,900

B. To record this period's earning of prior unearned revenue

Explanation:

Journal entries are usually recorded to adjust revenue and expenses to the accrual basis of accounting and to match expenses to the period's revenue and vice versa.  Short narrations are provided after recording each transaction.  The purpose is to provide some descriptions of the transaction so that it can be understood by another person reviewing the records.

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Answer:

= $52.78 per share

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<em>Value of equity = Value of the entire firm - Value of debt </em>

We can work out the the value per share using the steps below:

<em>Step 1</em>

<em>Calculate the total value of the firm</em>

Value of firm =  27.50/(0.1-0.07)

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<em>Step 2</em>

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<em>Value of equity = Value of the entire firm - Value of debt</em>

= $916.66 million - $125.0 million

=791.666 million

<em>Step 3</em>

<em>Calculate the value per share</em>

Value per share = Value of equity/ units of common stock

=$791.666 million/15 million units

= $52.78 per share

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