A local bank advertises the following deal: "Pay us $100 at the end of each year for 12 years and then we will pay you (or your beneficiaries) $100 at the end of each year forever." a. Calculate the present value of your payments to the bank if the interest rate is 4.00%.

Answers

Answer 1
Answer:

Answer:

Present value of payments to the bank=938.51

Explanation:

The present value of the payment to the bank are an ordinary annuity i.e equal payments made at the end of each year for 16 years.

The Present value of an ordinary annuity  is calculated as follows:

Present value =PMT*([1-(1+i)^-^n])/(i)

where PMT is the annual payment made at the end of each year=$100;

i is the interest rate or discount rate = 4%,

n=the number of years the periodic payment of 100 is to be made=12

Present value of payments to the bank = 100*([1-(1+0.04)^-^1^2])/(0.04)  = 938.51


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The S&P 500 index delivered a return of 10%, 15%, 15%, and -30% over four successive years. What is the arithmetic average annual return for four years?
A) 3.00%
B) 3.50%
C) 2.25%
D) 2.50%

Answers

Answer:

D) 2.50%

Explanation:

The arithmetic average return is simply the mean of all given return rates. There are four return rates and their values are, 10%, 15%, 15%, and -30%

AAR = (10+15 +15-10)/(4)\nAAR= 2.5\%

S&P 500 index delivered an arithmetic average annual return of 2.5% for four years

What was the stated purpose of the Food Administration during the Great War? A. It was to set up food banks for Americans B. It was to reduce civilian food consumption C. It provided food to the unemployed D. It collected food donations to be sent to soldiers in Europe

Answers

Answer: The stated purpose of the food administration during the great war was to reduce food consumption by civilians (B)

Explanation:

The U. S. Food Administration was the department responsible for the administration of the United States army abroad and food reserves of its allies during the World War 1. An important role of the United States Food Administration was the regulation of the price of wheat in the market.

During the war, the United States was short of commodities because the commodities were sold to their allies hence, every citizen were asked to donate horses, weapons and ammunition they had to help supply the army. It was done so that food for soldiers wouldn't be an issue.

Answer: D

It collected food donations to be sent to soldiers in Europe

Explanation:

On August, 1917 almost immediately after US joined the World War I, the US food administration was set up to manage wartime supply of food. A voluntary program was set up where Americans were encouraged to donate foods to US troops and its allies by modifying their eating habits and also reducing their consumption levels.

EB17. LO 7.5The production cost for UV protective sunglasses is $5.50 per unit and fixed costs are $19,400 per month. How much is the favorable or unfavorable variance if 14,000 units were produced for a total of $97,000?

Answers

Answer:

$600 unfavorable

Explanation:

The budgeted cost of producing 14,000 units at $5.50 per unit and with fixed costs of $19,400 is:

B = 14,000*5.50 + 19,400\nB= \$96,400

The variance is given by subtracting the budgeted cost by the actual cost ($97,000):

V= \$96,400 - \$97,000\nV= -\$600

Since the variance is negative, the variance is unfavorable

Vaughn Manufacturing has two divisions; Sporting Goods and Sports Gear. The sales mix is 75% for Sporting Goods and 25% for Sports Gear. Vaughn incurs $6890000 in fixed costs. The contribution margin ratio for Sporting Goods is 30%, while for Sports Gear it is 50%. The weighted-average contribution margin ratio is 70%. 35%. 40%. 45%.

Answers

Answer:

The correct answer is 35%.

Explanation:

According to the scenario, the computation of the given data are as follows:

We can calculate the Weighted average contribution margin ratio by using following formula:

weighted-average contribution margin ratio =  (Contribution margin ratio × Sales of sporting goods) + (Contribution margin ratio × Sales of sporting gears)

= ( 30 × 75% ) + ( 50 × 25%)

= 22.5% + 12.5%

= 35%

If the reserve requirement is 5 percent, a bank desires to hold no excess reserves, and it receives a new deposit of $10, then this bank a. must increase its required reserves by $10. b. will initially see its total reserves increase by $10.50. c. will be able to make new loans up to a maximum of $9.50. d. All of the above are correct.

Answers

Answer:

c. will be able to make new loans up to a maximum of $9.50

Explanation:

If the reserve requirement is 5% it means that the bank is required to reserve(not loan out) 5% of it's reserves so in this case the bank is required to 5% of 10 (0.05*10) $0.50 as reserves and can loan out $9.50 (10-0.50). As the bank has no desire to hold on to excess reserves we can be sure that it will only hold 0.50 as reserve as it is required and loan out $9.50. So statement c is correct.

Statement A is incorrect because the bank does not need to increase required reserve by $10 but by just $0.50.

Statement B is incorrect a deposit of $10 cannot increase the total reserve by $10.50 as it is impossible mathematically.

Statement d is incorrect because 2 of the 3 statements are incorrect therefore all of the above statements cant be correct.

Arthur is a 30 percent partner in the CAR Partnership. At the beginning of the tax year, Arthur's basis in the partnership interest was $60,000, including his share of partnership liabilities. During the current year, CAR reported net ordinary income of $40,000. In addition, CAR distributed $5,000 to each of the partners ($15,000 total). At the end of the year, Arthur's share of partnership liabilities increased by $20,000. Arthur's basis in the partnership interest at the end of the year is:a. $60,000.b. $120,000.c. $87,000.d. $75,000.e. None of these choices are correct.

Answers

Answer:

c. $87,000

Explanation:

The computation of the Arthur's basis in the partnership interest at the end of the year is shown below:

= His share of partnership liabilities + net operating income share + increased share in liabilities - distributed amount

= $60,000 + $12,000 + $20,000 - $5,000

= $87,000

Net operating income share is

= $40,000 × 30%

= $12,000

We simply applied the above formula

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