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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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Hoochie [10]
The beginning period retained earnings, net profit/net loss made during the accounting period, and cash and stock dividends paid during the accounting period. (i may be wrong because there was no picture but i this is right)
5 0
2 years ago
A manufacturing plant is trying to determine standard production per day for an incentive program. Suppose that the incentive pr
raketka [301]

Answer:

He would receive $15 under incentive plan.

Explanation:

The given values are:

Average observed time

= 280 seconds per unit

Performance rating

= 105%

i.e.,

= 1.05

Allowance factor

= 13%

i.e.,

= 0.13

So,

⇒  Standard \ time = \frac{(Average \ observed \ time\times Performance \ rating)}{1-Allowance \ factor}

On putting the estimated values, we get

                             =\frac{(280\times 1.05)}{(1-0.13)}

                             =\frac{294}{0.87}

                             = 337.93 \ seconds

The available time will be:

= (8 \ hours\times 60 \ min/hr\times 60 \ sec/min)

= 28800  \ seconds

Now,

The Standard production per day will be:

= \frac{Available \ time}{Standard \ time}

= \frac{28800}{337.93}

= 85.22 \ units

Since he generates 100 units, he consumes about 15(00-85,22) units per day well above normal production.  

So that he's going to get:

= 15\times 1

= 15 ($)

8 0
2 years ago
The Maryville Construction Company occupies 105,800 square feet for construction of mobile homes. There are two manufacturing de
madam [21]

Answer:

$404,800

Explanation:

Calculation to determine How much rent is allocable to the assembly department using the direct method of allocation

Using this formula

Rent =Area used by Assembly department / Total Area used by Manufacturing Departments x Total Rent paid

Let plug in the formula

Rent =36,850/ (36,850+30,150) x $736,000

Rent=36,850/67,000*$738,000

Rent=0.55*$736,000

Rent= $404,800

Therefore How much rent is allocable to the assembly department using the direct method of allocation is $404,800

4 0
2 years ago
Biarritz Corp. is growing quickly. Dividends are expected to grow at a rate of 25 percent for the next three years, with the gro
mel-nik [20]

Answer:

The current share price is $82.85

Explanation:

D1 = (2.85*1.25)

    = 3.56

D2 = (3.56*1.25)

     = 4.45

D3 = (4.45*1.25)

     = 5.566

Value after year 3 = (D3*Growth rate)/(Required rate - Growth rate)

                              = (5.566*1.045)/(0.105 - 0.045)

                               = $96.95  

current price = Future dividend and value*Present value of discounting factor  

= 3.56/1.105 + 4.45/1.105^2 +5.566/1.105^3 + $96.95/1.105^3

= $82.85

Therefore, The current share price is $82.85

3 0
2 years ago
Sweet Treats common stock is currently priced at $17.15 a share. The company just paid $1.22 per share as its annual dividend. T
nalin [4]

Answer:

9.68 percent

Explanation:

Calculation to determine the firm's cost of equity

Using this formula

Cost of equity=[(Annual dividend×Increase in dividends×/Current price of common stock]+Dividends

Let plug in the formula

Cost of equity=[($1.22 × 1.024)/$17.15] + 0.024

Cost of equity=($1.24928/$17.15)+0.024

Cost of equity=0.0728+0.024

Cost of equity=0.0968*100

Cost of equity=9.68 percent

Therefore the firm's cost of equity is 9.68 percent

8 0
2 years ago
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