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matrenka [14]
3 years ago
12

Many academic institutions offer a sabbatical policy. Every seventh year a professor is given a year free of teaching and other

administrative responsibilities at full pay. For a professor earning $ 50 comma 000 per year who works for a total of 42​ years, what is the present value of the amount she will earn while on sabbatical if the interest rate is 4 % ​(EAR)? Note: Assume that the sabbatical annual salary is paid in one lump sum every 7 years.
Business
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

$ 127,773.36

Explanation:

The professor will be in sabbatical  in years 7,  14, 21, 28, 35 and 42

In each of these years, he receives full pay amounting to=50,000

The PV of the sabbatical full pay

= \frac{50,000}{1.04^7} + \frac{50,000}{1.04^14} + \frac{50,000}{1.04^21} + \frac{50,000}{1.04^28} + \frac{50,000}{1.04^35} +\frac{50,000}{1.04^42} = 84,101.22

=50,000/(1+4%)^7+ 50,000/(1+4%)^14+ 50,000/(1+4%)^21+ 50,000/(1+4%)^28+50,000

/(1+4%)^35+ 50,000/(1+4%)^42

==50,000/(1+4%)^7+ 50,000/(1+4%)^14+ 50,000/(1+4%)^21+ 50,000/(1+4%)^28+50,000

/(1+4%)^35+ 50,000/(1+4%)^42

= \frac{50,000}{1.316} + \frac{50,000}{1.732} + \frac{50,000}{2.279}  +\frac{50,000}{2.999} +\frac{50,000}{3.946} + \frac{50,000}{5.193}

=37,993.92 + 28,868.36 + 21,939.45 + 16,672.22 + 12,671.06 + 9,628.35

=  $ 127,773.36

Thus, at an interest rate of 4%, the present value of all the sabbatical earnings amount to $ 127,773.36

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A stock has had the following year-end prices and dividends:Year Price Dividend1 $ 64.73 â 2 71.60 $ .68 3 77.40 .73 4 63.67 .79
balandron [24]

Answer:

Arithmetic average return = 7.23%

Geometric average return=6.44%

Explanation:

Calculation for the Arithmetic average return

First step is to calculate the return for each year

Using this formula

Return=(Current year price amount-Previous price amount + Current year dividend)/ Previous year price amount ×100

Let plug in the formula

Year 1 Return= ($71.60-$64.73 + $.68) / $64.73

Year 1 Return=$7.55/$64.73

Year 1 Return= 11.66%

Year 2 Return= ($77.40-$71.60 + $.73) / $71.60

Year 2 Return=$6.53=$71.60

Year 2 Return = 9.12%

Year 3 Return= ($63.67-$77.40 +$ .79) / $77.40 Year 3 Return=$-12.94/$77.40

Year 3 Return=-16.72%

Year 4 Return= ($73.91-$63.67 +$ .88) / $63.67

Year 4 Return=$11.12/$63.67

Year 4 Return = 17.47%

Year 5 Return= ($83.75-$73.91 + $.95) / $73.91 Year 5 Return=$10.79/$73.91

Year 5 Return= 14.60%

The second step is to calculate the arithmetic average return

Using the formula

Arithmetic average return = (Addition of the each year return percentage /Numbers of years)

Let plug in the formula

Arithmetic average return (.1166 + .0912-.1672 + .1747 + .1460) / 5

Arithmetic average return =0.3613/5

Arithmetic average return = .0723 ×100

Arithmetic average return = 7.23%

Calculation for the geometric average return

Using this formula

Geometric average return=(1+Each year return percentage)^1/Numbers of years-1)

Let plug in the formula

Geometric average return== [(1 + .1166)×(1 + .0912)×(1-.1672)×(1 + .1747)×(1 + .1460)]^1/5-1

Geometric average return=[(1.1166)×(1.0912)(0.8328)×(1.1747)×(1.146)]^1/5-1

Geometric average return=(1.366011)^1/5-1

Geometric average return=1.0644

Geometric average return=1.0644-1

Geometric average return=0.0644

Geometric average return=0.0644 ×100

Geometric average return=6.44%

Therefore the Arithmetic average return is 7.23% while Geometric average return is 6.44%.

3 0
3 years ago
The following transactions occurred during March 2021 for the Wainwright Corporation. The company owns and operates a wholesale
Vilka [71]

The Journal Entries to record the transactions for Wainwright Corporation in the month of March 2021 are as follows:

Journal Entries:

a. Debit Cash $600,000

Credit Common Stock $600,000

To record issuance of 60,000 shares of non-par common stock for cash.

b. Debit Equipment $100,000

Credit Cash $25,000

Credit Notes Payable $75,000

To record the purchase of equipment.

c. Debit Inventory $182,000

Credit Accounts Payable $182,000

To record the purchase of inventory on account.

d. Debit Accounts Receivable $270,000

Credit Sales Revenue $270,000

To record the credit sales for the month.

d. Debit Cost of Goods Sold $162,000

Credit Inventory $162,000

To record the cost of goods sold.

e. Debit Rent Expense $8,000

Credit Cash $8,000

To record the payment of rent on the warehouse building.

f. Debit Prepaid Insurance $8,050

Credit Cash $8,050

To record the prepayment of insurance for one year, from April 1, 2021.

g. Debit Accounts Payable $162,000

Credit Cash $162,000

To record payment on account.

h. Debit Cash $121,500

Credit Accounts Receivable $121,500

To record receipt of cash on account.

i. Debit Depreciation Expense $2,500

Credit Accumulated Depreciation $2,500

To record depreciation expense for the month.

Data Analysis:

a. Cash $600,000 Common Stock $600,000

b. Equipment $100,000 Cash $25,000 Notes Payable $75,000

c. Inventory $182,000 Accounts Payable $182,000

d. Accounts Receivable $270,000 Sales Revenue $270,000

d. Cost of Goods Sold $162,000 Inventory $162,000

e. Rent Expense $8,000 Cash $8,000

f. Prepaid Insurance $8,050 Cash $8,050

g. Accounts Payable $162,000 Cash $162,000

h. Cash $121,500 Accounts Receivable $121,500

i. Depreciation Expense $2,500 Accumulated Depreciation $2,500

Read more about recording journal entries at brainly.com/question/17201601

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Which chart is best used to show the results of a class survey with 4 field trip options?
Nimfa-mama [501]
C. Bar chart , It’s a better visual to see the different votes the classmates chose for their 4 field trip options.
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3 years ago
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Pureform, Inc., manufactures a product that passes through two departments. Data for a recent month for the first department fol
Helga [31]

The equivalent units for the month for the first department for material is 48,000 and for labor and overhead 46000.

What is the weighted average ?

  • One of three methods for valuing the stock in your company's inventory is the weighted average cost method, which establishes the average cost of all the products in your inventory based on their individual costs and the quantity of each item that is kept on hand.
  • The weighted average is used by businesses to calculate the amount that goes into inventory and the cost of products sold (COGS).
  • Due to the variety of inventory stock kinds or the same stock items being purchased at various times, a firm may pay varying costs when purchasing pieces of inventory.

Total units transferred = 42000

and, units of ending WIP = 6000(material),  4000(Labor),  4000(overhead)

So,

Equivalent units of production = 48000(material), 46000(Labor),  46000(overhead)

The equivalent units for the month for the first department for material is 48,000 and for labor and overhead 46000.

Learn more about weighted average here:

brainly.com/question/16557719

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Olegator [25]

Answer:

Trend Analysis

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