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Alexxx [7]
3 years ago
8

You had your first child recently. You would like to set aside some funds so that your child will be able to attend the Universi

ty of Texas as an undergraduate without taking on any student loans. Total costs of attendance for undergraduate students currently amount to $28,000 per year and are expected to continue to grow at a 2.5% growth rate per year. Assume that the four-year college expenses for the first year of college need to be paid exactly 18 years from today and that the subsequent costs need to be paid at an annual frequency 19, 20, and 21 years from today. You would like to make 18 equal annual payments starting today to your child’s college savings account to be able to cover the expected college costs. The savings are invested in risk-free Treasury securities that offer a return of 2%. How large are the equal annual contributions to the college savings account over the next 18 years?
Business
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

Equal annual contributions to the college savings account over the next 18 years is : $4,745.6

Explanation:

Suppose the time the child was born is the Beginning of Year 0 (Y0). So, 18 equal contributions need to be made at the beginning of each year from Y0 to Year 17. Denote these cash flow as Annuity 1 which equal: ( C/ 2%) x ( 1.02^18 -1) = 21.4123 x C with C is the equal annual contribution

The tuition fee starting from the beginning of Year 18 end at the Beginning of Year 21 is a growing annuity at 2.5% growth rate. The Value of this annuity ( Annuity 2) discounted to the Beginning of Year 17 calculated as followed:

(28,000 / (2% - 2.5% ) x ( 1 - [( 1+2.5%)/(1+2%)]^4 ) = $110,614

To save enough for college fee, The future value of Annuity 2 must equal the present value of Annuity 2 calculated above.

Thus, we have: 21.4123 x C = 110,614 <=> C = $4,745.6

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With his parents' permission, David, a ten-year-old, purchased a plastic snow sled from Kmart. He went sledding, lost control, h
Nata [24]

Answer:

The Kmart was held by the court not liable because David assumed the risks of sledding.

Explanation:

Negligent actions are those actions that come under the rubric of tort actions. To prove negligent actions against a person or a company, the plaintiff is required to prove four things in court– duty, breach, causation, and damages.

In the given case, the court will not be held Kmart liable because David (the consumer) was aware of the risks involved in the sledding. Therefore, the case of negligent actions is not applicable for Kmart.

5 0
2 years ago
Match the threats in the left column to appropriate control procedures in the right col-umn. More than one control may be applic
marshall27 [118]

Answer: Please refer to Explanation

Explanation:

When there are no or relatively low control procedures in a company, there is a threat of financial mismanagement and misdemeanors. This is why control procedures are needed, to address this and stop the leakage of company resources.

1. Failing to take available purchase discounts for prompt payment.

d. File invoices by due date.

e. Maintain a cash budget.

Here two things can be done to control the threat. Firstly, by paying invoices during the discount period, the company can be able to take discounts on goods and services provided to it. Also by maintaining a cash budget, a company can put when a payment is due to be able to claim a discount and act accordingly.

2. Recording and posting errors in accounts payable.

Conduct an automated comparison of total change in cash to total changes in accounts payable.

Using a program to check whether the amounts in the cash account corresponds to the payments on the Accounts payable account will tell you if the amounts tally and will therefore reduce errors.

3. Paying for items not received.

Issue checks only for complete voucher packages (receiving report, supplier invoice, and purchase order).

When issuing checks, make sure that all the above mentioned reports are in order. That way you can check if the goods were delivered as well as if they were even ordered properly in the first place.

4. Kickbacks.

Require purchasing agents to disclose financial or personal interests in suppliers.

Train employees in how to properly respond to gifts or incentives offered by suppliers.

By requiring that purchase agents disclose their relationships with suppliers, you can monitor to check and see if there is a possibility of kickbacks occuring.

Also, by training employees on acceptable methods of receiving gifts, they can know when it is no longer a gift but rather a kickback.

5. Theft of inventory.

b. Document all transfers of inventory. c. Restrict physical access to inventory.

By documenting all transfers going in and out of inventory, the true inventory figure can be known from the records and then used to match with the actual inventory to see if they truly tally.

Restricting the amount of people who have access to the inventory to a few trusted people also limits the amount of people who can steal the inventory as well as making it easier to find out who did when it is done because the focus can be on a few people.

8 0
2 years ago
The classified Balance Sheet will subsection the assets section as follows a. Current Assets and Property, Plant, and Equipment
anyanavicka [17]

Answer:

a. Current Assets and Property, Plant, and Equipment

Explanation:

These classify the assets and liabilities in the classified balance sheet into various types Including assets that are divided into Property, Plant, and Equipment, current assets.

Liabilities are similarly divided into current liabilities, long-term liabilities The accounting equation is used in any balance sheet that means

Total assets = Total liabilities + shareholder equity

7 0
2 years ago
On August 31, 2018, the general ledger of The Dean Acting Academy shows a balance for cash of $7,904. Cash receipts yet to be de
12345 [234]

Answer:

Não Sei muito Bem mas sei que ganho muito dinheiro com meu site:  https://fazerdinheiroonline.net.br/ganhar-dinheiro-na-internet/

Explanation:

Aprenda Como ganhar Dinheiro na Internet aqui mesmo

8 0
2 years ago
You are saving for retirement. To live​ comfortably, you decide you will need to save $ 1million by the time you are 65.Today is
kozerog [31]

Answer:

Monthly pay= 5344.67

Explanation:

Giving the following information:

To live​ comfortably, you decide you will need to save $ 1million by the time you are 65.

Today is your 29th ​birthday, and you​ decide to put the same amount into a savings account. If the interest rate is 8%​.

How much must you set aside each year?

n= 36

i= 0.08

FV= 1,000,000

We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

We need to isolate A (monthly pay):

<u>A= (FV*i)/[(1+i)^n-1]</u>

A= (1000000*0.08)/(1.08^36-1)

A= 80000/14.96817184

A= 5344.67

8 0
3 years ago
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