If you sell only one or just a few items your business is

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

On January 1, 2018, Burleson Corporation’s projected benefit obligation was $48 million. During 2018 pension benefits paid by th

aleksklad [387]

Answer:

$59.8 million.

Explanation:

At the beginning of the year, the Projected Benefit Obligation (PBO) was $48 million, however, during the year this amount was affected by several factors that are explained in the problem statement: the service cost ($13 million), the interest costs (defined by a discount rate of 10%) and the pension benefits paid by the company ($6 million).

To understand how it was modified exactly, first, we will do a theoretical analysis and then present it more <em>graphically</em> as a financial statement.

1. Theoretical analysis

Firstly, a Projected Benefit Obligation (PBO) is a measure that reflects how much a company needs at the present time (December 31, 2018) to cover future pension liabilities. We know that the year began with a PBO of $48 million. However, this amount must be added to the service costs ($13 million), which is the increase in the present value of the liabilities, because the employees have completed another year in the company and that implies an increase in their pension credit.

Therefore, so far, the PBO at December 31, 2018 is $61 million. To this amount must be added the interest cost which is the annual interest amount on the unpaid balance of the PBO. In this case, an interest rate of 10% is handled. Therefore the amount of interest is equal to $48 million (original PBO) * 10% = 4.8 million.

So far, the PBO at December 31, 2018 is $61 + $4.8 = $65.8 million

Finally, the pension benefits paid by the trustee during 2018 should be subtracted, since they are a partial payment of the PBO.

Therefore, we have: $65.8 - $6 = $59.8

2. As a financial statement.

Pension obligations

Year Ended At December 31, 2018

Change in benefit obligations

Beginning PBO $48

Service cost $13

Interest cost $4.8

Benefits paid ($6.0)

Ending PBO $59.8

6 0

3 years ago

A. How much would you pay for a Treasury bill that matures in 182 days and pays $10,000 if you require a 1.8% discount rate?

Sonja [21]

Answer: $9909

Explanation:

Let the amount that will be paid be represented by y. The question can now be solved as:

(10000 - y)/10000 × 360/182 = 0.018

(10000-y)/10000 = 0.018 × 182/360

(10000 - y)/10000 = 0.0091

10000-y = 0.0091 × 10000

10000 - y = 91

y = 10000 - 91

y = $9909

4 0

3 years ago

An analysis of stockholders' equity of Hahn Corporation as of January 1, 2010, is as follows:

charle [14.2K]

Answer:

Additional paid-in capital is $904,200

Explanation:

Number of shares, issued and outstanding = 93,000 shares

Acquired 2,460 shares of its stock for $75,000.

Sold 2,000 treasury shares at $35 per share.

Sold the remaining 460 treasury shares at $20 per share.

i) Acquired 2,460 shares of its stock for $75,000.

= Treasury Stock Dr $75,000

ii) Sold 2,000 treasury shares at $35 per share.

Treasury Stock (2,000 × $35) = Dr $70,000

iii) Sold the remaining treasury shares at $20 per share.

Treasury Stock (460 × $20) = Dr $9,200

Total Treasury Stock = $75,000 - $70,000 - $9,200

= ($4,200)

Paid in Cap-tresury stock= 10,000-5000=5000

Additional Paid in capital = Paid in Capital - treasury stock

= 900,000 + 4,200 = $904,200

6 0

3 years ago

Consider the elements of cost in Geordie Ltd, namely, the cost of a product, the cost of direct labour and the cost of non-labou

tangare [24]

Answer:

$73.58

Explanation:

Total cost of product = $120

Total cost of product = Cost of material + Direct labor + Overhead

Cost of material = (3 * direct labor) - $6

Overhead = ¾ of Direct labor

Total cost of product = 3DL - $6 + DL + ¾ of DL

$120 = 3DL - $6 + DL + 0.75 DL

$126 = 4.75 DL

Direct Labor = 126/4.75

Direct Labor = $26.53

Material cost = 3 * $26.53 - $6

Material cost = $73.58

3 0

3 years ago