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# Critical Thinking Assignment

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Emily Smith just received a promotion at work that increased her annual salary to \$42,000. She is eligible to participate in her employerâ€™s 401(k) retirement plan to which the employer matches, dollar for dollar, workersâ€™ contributions up to 5% of salary. However, Emily wants to buy a new \$25,000 car in 3 years, and she wants to have enough money to make a \$10,000 down payment on the car and finance the balance. Fortunately, she expects a sizable bonus this year that she hopes will cover that down payment in 3 years. A wedding is also in her plans. Emily and her boyfriend, Paul, have set a wedding date two years in the future, after he finishes medical school. In addition, Emily and Paul want to buy a home of their own in 5 years.

This might be possible because two years later, Emily will be eligible to access a trust fund left to her as an inheritance by her late grandfather. Her trust fund has\$80,000 invested at an interest rate of 5%. 1. Justify Emilyâ€™s participation in her employerâ€™s 401(k) plan using the time value of money concepts by calculating the actualannual return on her own contributions. She will contribute \$1,000 per year to her 401(k) for 25 years and the employer will match dollar for dollar. Assume that her 401(k) earns 6% per year for 25 years and all contributions are made at the end of each year. The formula that we applied here is FVAN = PMT * [(1+I)N -1]/I In this case,

PMT = 1,000 (Emilyâ€™s contribution) + 1,000 (matching from employer) = 2,000 USD I = 0.06Â N = 25
The result is FVA25 = 109,729 USD
2. Calculate the amount of money that Emily needs to set aside from her bonus this year to cover the down payment on a new car, assuming she can earn 4% on her savings. What if she could earn 10% on her savings? The formula we applied here is PMT = FVAN * I /[(1+I)N -1]

In the first case,
FVA3 = 10,000 USD
I = 0.04
N = 3
The result is PMT = 3,141 USD. However, since this payment includes the employerâ€™s matching which is equal to Emilyâ€™s contribution, Emily needs to set aside 3,141/2 = 1570.5 USD.

In the second case,
FVA3 = 10,000 USD
I = 0.1
N = 3
The result is PMT = 3,021 USD. However, since this payment includes the employerâ€™s matching which is equal to Emilyâ€™s contribution, Emily needs to set aside 3,021/2 = 1510.5 USD.

3. What will be the value of Emilyâ€™s trust fund in 36 years, assuming she takes possession of \$20,000 in 2 years for her wedding, and leaves the remaining amount of money untouched where it is currently invested? After 2 years, the balance of the trust fund is 80,000*(1+0.05)2 â€“ 20,000 = 68,200 USD. After Emilyâ€™s wedding, the trust fund in the next 34 years is 68,200*1.0534= 358,278 USD. 4. Suggest at least two conditions that Emily and Paul could take to accumulate more for their retirement. Firstly, Emily and Paul should invest her salary more in 401(k) plan. Currently, Emily only invests 1,000 USD per year, which is 2.38% of her yearly salary.

However, employer can matches workerâ€™s contribution dollar for dollar up to 5% of annual salary and Emily needs to take full advantage of this. Secondly, Emily should withdraws money from her trust fund to invest in her 401(k) plan since the trust fund has only 5% return while the 401(k) plan has 6% return per year. 5. Suppose that Emily and Paul purchase a \$200,000 home in 5 years and make \$40,000 down payment immediately. Find the monthly mortgage payment assuming that the remaining balance is financed at a 3% fixed rate for 15 years. What if its mortgage term is 30 years? The balance Emily needs to cover in the next 15 years is 200,000-40,000=160,000 USD. The monthly charge on the balance is 3/12=0.25% = 0.0025

The number of periods is 15*12=180 months
The monthly payment is PMT = 160,000 / = 1,104.93 USD
If the term is 30 years, the number of periods is 30*12=360 months The monthly payment is PMT = 160,000 / = 674.57 USD
6. What can you conclude about the relationship between the mortgage term and the amount of the monthly payment? From Question 5, is the monthly payment with the 30-year term half as large as the monthly payment with the 15-year term? Explain.

The longer the mortgage term, the smaller the amount of the monthly payment. Half of the monthly payment with the 15-year term is smaller than the monthly payment with 30-year term. Explanation:

If the term is 15 years, then PMT = then PMT = =
If the term is 30 years, then PMT = =
Since <
Then PMT30 years > PMT15 years

Use the following information to answer the following questions.
ABC, Inc. Income Statement (in thousands)
December 31, 2014
Sales \$200,000
Cost of goods sold140,000
Gross profit on sales 60,000
Operating expenses 56,000
Operating income (EBIT)4,000
Interest expense 1,000
Earnings before tax 3,000
Income tax 1,050
Net income available to common stockholders \$1,950
Number of shares outstanding 1, 500 Market price per share \$22
ABC, Inc. Balance Sheet (in thousands)
December 31, 2014
Assets
Cash \$2,000
Accounts receivable 17,800
Inventories 8,700
Total current assets 28,500
Gross fixed assets 70,000
Accumulated depreciation 26,500
Net fixed assets 43,500
Total assets \$72,000
Liabilities and Equity
Accounts payable \$18,000
Accruals 13,350
Total current liabilities 31,350
Long-term debt 8,250
Total liabilities 39,600
Common stock (par value and paid in capital) 2,000
Retained earnings 30,400
Total stockholders’ equity 32,400
Total liabilities and equity \$72,000
Industry Key Ratios
Industry Average Ratios
Current ratio 1.1
Quick ratio 0.60
Days Sales Outstanding (DSO) 25 days
Fixed assets turnover 5.8
Total asset turnover 2.95
Liabilities-to-assets ratio 65%
Times-interest-earned 3.2
Net profit margin 1.3%
Return on equity 7.32%
Price/earnings ratio 20.38
Market/book ratio 3.19
1. Calculate current ratio and acid test ratio for the firm. Current ratio = = 0.9
Acid test ratio = = 0.63
2. Calculate DSO, fixed assets turnover, and total asset turnover for the firm. DSO = = 32 days
Fixed assets turnover = = 4.6
Total asset turnover = 2.78
3. Calculate liabilities-to-assets ratio and times-interest-earned ratio for the firm. Liabilities-to-assets = * 100= 55%
Times-interest-earned = = 4
4. Calculate net profit margin and return on equity for the firm. Net profit margin = * 100 = 0.98%
Return on equity = = 6%
5. Evaluate the performance of the firm relative to the average performance of the industry in the following areas:

Liquidity management
Overall, both the current ratio and quick ration are pretty good, especially the latter. It indicates that the firm is capable of paying its debt pretty quick, although it needs to collect the account receivables soon. Asset management

The DSO which is 7 days larger than the industry ratio indicates the customers often pay lately. However, the credit term of the firm is needed to evaluate further to see whether the credit manager is doing good or not. The fixed asset turnover is lower than the industry ration. This indicates that the firm does not use its fixed asset as intensively as other companies in the industry. The total assets turnover is slightly lower than the industry ratio. This indicate that, given its total assets, the firm generates sales as larger as other companies, which is good. Debt management

The liabilities-to-assets ratio of the firm is pretty lower than the industry average. This is quite good since the firm is not much at risk like others. Times-interest-earned ratio of the firm is higher than the average. The firm is good in paying its annual interest to creditors and this is very safe. Profitability management

The net profit margin of the firm is lower than average. This indicates that the operating cost is pretty high and needed to be cut down in order to be profitable. The ROE of the firm is lower than the average. This indicatesÂ that the firm pays its stockholders not as good as other firms.

6. What is the firmâ€™s price/earnings ratio and market/book ratio? What do these ratios tell us about the firm? Book value per share = = 21.6 USD
Earnings per share = = 1.3 USD
Price/earnings = = 16.9
Market/book = = 1.01

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