An investment has an expected return of 11 percent per year with a standard deviation of 26 percent. Assuming that the returns on this investment are at least roughly normally distributed, how often do you expect to earn less than -15 percent?

Answers

Answer 1
Answer:

Answer:

P(X<-15)=P((X-\mu)/(\sigma)<(-15-\mu)/(\sigma))=P(Z<(-15-11)/(26))=P(Z<-1)

And we can find this probability using the normal standard distribution table or excel and we got:

P(Z<-1)=0.159

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the expected return, and for this case we know the distribution for X is given by:

X \sim N(11,26)  

Where \mu=11 and \sigma=26

We are interested on this probability

P(X<-15)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=(x-\mu)/(\sigma)

If we apply this formula to our probability we got this:

P(X<-15)=P((X-\mu)/(\sigma)<(-15-\mu)/(\sigma))=P(Z<(-15-11)/(26))=P(Z<-1)

And we can find this probability using the normal standard distribution table or excel and we got:

P(Z<-1)=0.159


Related Questions

An important function of the U.S. Federal Reserve is to a. set the debt ceiling. b. control the supply of money. c. mint coins. d. fund Congressional spending.
Identical products, as well as a large number of buyers and sellers, are characteristics of a market. In such markets, sellers of goods influence the prevailing market price, giving them the role of price in the market. True or False: The market for digital cable does not exhibit the two primary characteristics that define perfectly competitive markets.
The leader of two postpartum women's support groups is interested in the depression levels of the women in her groups. She administers the Center for Epidemiologic Studies Depression Scale (CES-D) screening test to the members of her groups. The CES-D is a 20-question self-test that measures depressive feelings and behaviors durin the previous week. The mean depression level from the screening test for the 6 women in the first group is mu_1 = 16; the mean depression level for the 10 women in the second group is mu_2 = 12. Without calculating the weighted mean for the combined group, you know that the weighted mean is: Midway between 16 and 12 Closer to 16 than to 12 Closer to 12 than to 16 Compute the weighted mean. Enter your answer rounded to one decimal place. mu = The support group leader realizes that she should also screen for alcohol abuse, so she gives the women in her two groups the Michigan Alcohol Screening Test (MAST). The MAST is a 22-question self-test focusing on the use and abuse of alcohol. The first group has a mean score of mu_1 = 18. The second group has a mean score of mu_2 = 14. Compute the weighted mean. Enter your answer rounded to one decimal place. mu =
Kirk wants to get an FHA loan. Which of the following is Kirk himself not likely to do during the application process?
You are asked to lend money for a major commercial real estate development in a foreign country. There is some talk about a further devaluation of the foreign country's currency. What information do you need to assess the creditworthiness of this project? In your evaluation of the project, be sure to take into account translation exposure and economic exposure (operating and transaction), as well as exchange risk.

The Acmeville Metropolitan Bus Service currently charges $0.88 for an all-day ticket, and is used by an average of 433 riders a day. The bus company is not earning a profit, but according to their contract with the city, they cannot cut the number of buses on the road. They must therefore find a way to increase revenues. The bus company is considering increasing the ticket price to $0.99. The marketing department\'s studies indicate this price increase would reduce usage to 169 riders per day. Calculate the price elasticity of demand for bus tickets to determine if the bus company should increase price or decrease price to increase revenues.Price elasticity of demand is? 7.45 I get but on the online hw, it says its wrong? I tried 7.5 too? I used the midpoint formula (q2-q1)/((q2+q1)/2) / (p2-p1)/((p2+p1)/2)

Answers

Answer:

Midpoint formula = - 7.43

Other formula = - 4.88

Elastic PED - Decrease price to increase total revenue

Explanation:

Price elasticity of demand is the responsiveness of quantity demanded to a change in price. The midpoint formula calculation is as follows:

(Q2 - Q1) / [(Q2 + Q1/2]

(P2 - P1) / [(P2 + P1/2]

In this scenario:

Q1 = 433 (old quantity)

Q2 = 169 (new quantity)

P1 = 0.88 (old price)

P2 = 0.99 (new price)

When this is substituted into the formula, it is as follows (I shall do it one step at a time to make it easier):

(169 - 433) / [(169 + 433/2]

(0.99 - 0.88) / [(0.99 + 0.88/2]

(169 - 433) / 301

(0.99 - 0.88) / 0.935

- 264 / 301

0.11 / 0.935

- 0.877

0.118

PED =- 7.43(PED is always a negative figure because price and quantity demanded have an inverse relationship. i.e. when one falls, the other rises)

PED is elastic if it is more than 1 and elastic if it is less than 1.

In this case, 5.8 is more than 1, hence PED is elastic.

In such a case, a change in price will always lead to a higher change in quantity demanded. Therefore, it is important to decrease the price to increase total revenue.

However, a different answer can be obtained using a different PED calculation

% change in quantity demanded

% change in price

(Q2 - Q1) / Q1

(P2 - P1) / P1

(433 - 169) / 433

(0.99 - 0.88) / 0.88

0.61

0.125

PED = - 4.88

Use the following information to prepare a multistep income statement and a classified balance sheet for Eller Equipment Co. for Year 1. Salaries expense $122,000 Beginning retained earnings $61,100
Common stock 110,000 Warranties payable (short term) 6,500
Notes receivable (short term) 32,500 Gain on sale of equipment 19,000
Allowance for doubtful accounts 19,000 Operating expenses 65,000
Accumulated depreciation 66,000 Cash flow from investing activities 116,000
Notes payable (long term) 160,000 Prepaid rent 38,000
Salvage value of building 21,000 Land 95,000
Interest payable (short term) 6,000 Cash 41,000
Uncollectible accounts expense 45,000 Inventory 101,000
Supplies 6,500 Accounts payable 55,000 Equipment 243,000
Interest expense 36,000 Interest revenue 6,200
Salaries payable 68,000 Sales revenue 940,000
Unearned revenue 47,000 Dividends 20,000
Cost of goods sold 595,000 Warranty expense 9,200
Accounts receivable 108,000 Interest receivable (short term) 3,600
Depreciation expense 3,000

Answers

Answer:

                                 Eller Equipment Co.

                                  Income statement

Particular                                  Amount($)  Amount ($)

Sales revenue                                                940,000

Less: Cost of good sold                                 (595,000)

Gross margin                                                   345,000

Operating expenses

Salaries expenses                         122,000  

Operating expenses                     65,000  

Warranty expenses                        9,200

Un-collectible account expenses  45,000  

Depreciation expenses                 3,000

Total operating expenses                                (244,200)

Operating income                                              100,800

Non-operating expenses

Interest revenue                            6,200  

Interest expenses                        (36,000)

Gain on sale of equipment            19,000  

Total non-operating items                                   (10,800)

Net Income                                                          $90,000

                                   Balance Sheet

Assets                                          Amount$

Current Assets                                    

Cash                                                            41,000  

Accounts receivable                  108,000

Less: Allowance for doubtful    (19,000)  89,000

accounts

Merchandise inventory                             101,000  

Interest receivable                                     3600

Prepaid rent                                                38,000  

Supplies                                                      6,500  

Notes receivable                                        32,500

Total current assets                                                           311,600

Property Plant and Equipment    

Equipment                                    243,000  

Less: Accumulated depreciation (66,000)   177,000  

Land                                                                 95,000

Total property plant and equipment                                 272,000

Total Assets                                                                        583,600

Liabilities and Stockholder Equity

Current liabilities

Account payable                     55,000  

Unearned revenue                  47,000  

Warranties payable                  6,500  

Interest payable                        6,000  

Salaries payable                       68,000

Total current liabilities                                                  182,500

Long-term liabilities  

Notes payable                     160,000

Total long-term liabilities                                               160,000

Stockholders equity

Common stock                            110,000  

Retained earning                         131,100

Total stockholders equity                                              241,100

Total liabilities and stockholders equity                    $583,600

Workings

Retained earning = Beginning retained earning + Net income - Dividend  

= 61,100 + 90,000 - 20,000

= 131,100

Final answer:

The multistep income statement and the classified balance sheet was prepared for the Eller Equipment Co. using the provided year 1 figures. The net income was found to be $98,200 and total assets for the company were calculated to be $541,000. These statements are essential tools for financial decision making in business.

Explanation:

Multistep Income Statement for Eller Equipment Co.

Start by listing the different income categories. The sales revenue is $940,000.

Deduct the cost of goods sold which is $595,000 to calculate the gross profit: $345,000.

Next, deduct the operating expenses that include salaries expense ($122,000), uncollectible accounts expense ($45,000), operating expenses ($65,000), depreciation expense ($3,000), and interest expense ($36,000) to arrive at an operating income: $73,000.

Lastly, consider the gain on sale of equipment ($19,000) and the interest revenue ($6,200) to find a net income of $98,200.

Classified Balance Sheet for Eller Equipment Co.

Start with assets that include cash ($41,000), accounts receivable ($108,000 - $19,000 = $89,000), inventory ($101,000), Prepaid Rent ($38,000), Land ($95,000), and Equipment ($243,000 - $66,000 = $177,000) to get a total asset of $541,000.

Next, consider liabilities which include accounts payable ($55,000), salaries payable ($68,000), interest payable ($6,000), unearned revenue ($47,000), warranties payable ($6,500), and notes payable ($160,000) to get a total liability of $342,500.

Finally, calculate the equity. The retained earnings are beginning retained earnings ($61,100) + net income ($98,200) - dividends ($20,000) = $139,300.

Adding the common stock ($110,000) will give a total equity of $249,300.

Check your work: Assets ($541,000) = Liabilities ($342,500) + Equity ($249,300)

Learn more about Financial Decision Making here:

brainly.com/question/32573447

#SPJ3

According to the law of supply, when prices increase, the quantity of suppliers create _____.

Answers

Answer:

increase

listening to the law when a supplier increases the price their supply increases the quality aswell!!

the answer would be increase for the blank spot

5. The Bureau of Economic Analysis reported that, in real terms, overall consumer spending increased by $345.8 billion in 2015. a. If the marginal propensity to consume is 0.50, by how much will real GDP change in response? Enter your answer in billions of dollars. Change in GDP: $ 172.9 billion b. If there are no changes in autonomous spending other than the increase in consumer spending described in part a, and unplanned inventory investment, I u n p l a n n e d , decreases by $100 billion, what is the change in real GDP? Enter your answer in billions of dollars. Change in GDP: $ billion c. GDP at the end of 2014 was $15,982.3 billion. If GDP were to increase by the amount calculated in part b, what would be the percentage increase in GDP? Round your answer to the nearest hundredth of a percent. Percentage change in GDP: %

Answers

Answer & Explanation:

a. MPC = 0.50; Change in consumption spending = $345.8 billion

According to multiplier formula,

Change in real GDP/ Change in consumption spending = 1/(1-MPC) = 1/(1-0.5) = 1/0.5 = 2

So, Change in GDP = Change in consumption spending*2 = (345.8)*2 = $691.6 billion

Change in GDP = $691.6 billion

b. Change in investment = -$100

According to multiplier formula,

Change in real GDP/ Change in investment = 1/(1-MPC) = 1/(1-0.5) = 1/0.5 = 2

So, Change in GDP = Change in investment*2 = (-100)*2 = -200

So, total change in GDP = 691.6 - 200 = $491.6 billion

Change in real GDP = $491.6 billion

c. Percentage change in real GDP = (Change in Real GDP/GDP at the end of 2014)*100 = (491.6/15,982.3)*100 = 3.08%

Financial institutions in the U.S. economySuppose Nick would like to invest $10,000 of his savings.
One way of investing is to purchase stock or bonds from a private company.
Suppose TouchTech, a hand-held computing firm, is selling stocks to raise money for a new lab—a practice known as---------(debt/equity)------ finance. Buying a share of TouchTech stock would give Nick-----(a claim to partial ownership in/an IOU, a promise to pay, from)------- the firm. In the event that TouchTech runs into financial difficulty, --------(nick and the other stockholders/ the bondholders)------will be paid first.
Suppose Nick decides to buy 100 shares of TouchTech stock.
Which of the following statements are correct? Check all that apply.

----Expectations of a recession that will reduce economy-wide corporate profits will likely cause the value of Nick's shares to decline.
----The Dow Jones Industrial Average is an example of a stock exchange where he can purchase TouchTech stock.
----An increase in the perceived profitability of TouchTech will likely cause the value of Nick's shares to rise.

Alternatively, Nick could invest by purchasing bonds issued by the government of Japan.

Assuming that everything else is equal, a bond issued by a government that is engaged in a civil war most likely pays a ----(higher/lower)---- interest rate than a bond issued by the government of Japan.

Answers

Answer:

(1) A practice known as "equity" finance

(2) Busing a share of TouchTech stock would give Nick "a claim to partial ownership"

(3) "the bondholders" will be paid first"

(4) Of the three statements provided, statement # 1 and statement # 3 are correct

(5) A government that is engaged in civil war mist likely pays a "higher" interest rate

Explanation:

Lets look at the answer to each question individually below:

(1) Touch Tech is selling stocks to raise money. The process involves issuing common shares through investment banks in a primary market to raise capital. The firm is essentially selling pieces of itself to investors, or "shareholders" which is known as equity finance

(2) The firm sells a part of itself to the investors who buy stocks and shares in the company. This means that essentially the company is selling ownership up to a certain amount. This gives the shareholders rights to residual income of the company. So each shareholders is a part owner and their individual ownership depends on the percentage of shares that they hold relative to the total shares outstanding.

(3) Shareholders by definition have a claim on the residual income/cashflows of the company. This is income that has been derived after paying for operating activities, other expenses, interest payments, and tax payments. Bondholders are debt holders of a company and in terms of seniority of claim, the debt holders are paid off first. The shareholders come at the very bottom of the hierarchy in terms of getting paid compared to debt holders, the government, and preference shareholders.

(4) Expectation of a recession would mean a company finds it hard to achieve sales and therefore impacts the profitability. If the profitability is impacted negatively, shareholders would get a lower rate of return on their investment which would push down the demand for share, and this is why the price of the shares would likely decline. Similarly, if investors believe the Touch Tech will be able to earn good sales figures and good profitability, the rate of return on investment would be expected to be higher. Therefore, in this case, the increased demand for shared would drive up the price of the shares as well. Therefore both these statements are true,

On the other hand, the Dow Jones Industrial Average is NOT a stock exchange. An example of a stock exchange is the NYSE (New York Stock Exchange) where investors can buy and sale shares. This is the exchange where Nick can buy the shares. The DJIA is simply an index that indicates how the prices of a select number of stocks from across the board are moving. The level at which the DJIA is at gives investors and idea as to how the overall market is performing rather than looking at the share price and volume trades of each individual stock.

(5) A war torn government issuing bonds would be perceived by investors as having difficulties in pay back its debts. Tax collections and economic performance of the country would be deeply impacted by the civil war. This would make the risk of not getting paid back a lot higher for a bondholder than a government that is stable and plenty of cash reserves. To compensate for this added risk, the government of a war torn state would have to offer investors a higher rate of return in exchange for their investment.

The SP Corporation makes 38,000 motors to be used in the production of its sewing machines. The average cost per motor at this level of activity is: Direct materials $ 9.70 Direct labor $ 8.70 Variable manufacturing overhead $ 3.55 Fixed manufacturing overhead $ 4.50 An outside supplier recently began producing a comparable motor that could be used in the sewing machine. The price offered to SP Corporation for this motor is $24.55. If SP Corporation decides not to make the motors, there would be no other use for the production facilities and none of the fixed manufacturing overhead cost could be avoided. Direct labor is a variable cost in this company. The annual financial advantage (disadvantage) for the company as a result of making the motors rather than buying them from the outside supplier would be:

Answers

Answer:

Explanation:

The fixed cost is relevant in this situation as it can not be avoided and there would be no other use for the facility.

                                                         Unit cost

Direct materials                                   9.70

Variable manufacturing cost              3.55

Fixed  manufacturing overhead         4.50

Direct labor                                          8.70

Total                                                     26.45

Units produced cost of producing 38,000 = 38000* 26.45 = 1,005,100

Cost of buying 38,000 = 38,000 * 24.55 = 932,900

Cost saved = 1,005,100 - 932,900 =72,200

Other Questions