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Pavlova-9 [17]
2 years ago
12

You are given an annuity-immediate paying 10 for 10 years, then decreasing by one per year for nine years and paying one per yea

r thereafter, forever. The annual effective rate of interest is 4%. Calculate the present value of this annuity.
Business
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

124.17

Explanation:

since the first payment is immediate, then this is an annuity due:

we must divide this annuity into 3 separate parts:

1) today plus 9 years = PV = 10 x 8.43533 (PV annuity due, 4%, 10 periods) = 84.3533

2) the second group of years where annuity decreases by $1

PV year 10 = 9/1.04¹⁰ = 6.08

PV year 11 = 8/1.04¹¹ = 5.20

PV year 12 = 7/1.04¹² = 4.37

PV year 13 = 6/1.04¹³ = 3.60

PV year 14 = 5/1.04¹⁴ = 2.89

PV year 15 = 4/1.04¹⁵ = 2.22

PV year 16 = 3/1.04¹⁶ = 1.60

PV year 17 = 2/1.04¹⁷ = 1.03

sum of PVs = 26.99

3) terminal value at year 17 = 1/0.04 = 25

PV of terminal value = 25/1.04¹⁷ = 12.83

now we add the three parts = 84.3533 + 26.99 + 12.83 = 124.17

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You are looking to buy a car and you have been offered a loan with an APR of 5.7 %​, compounded monthly. a. What is the true mon
lukranit [14]

Answer:

Monthly Interest rate = 0.475%

EAR = 5.85%

Explanation:

a.

APR = 5.7%

Monthly Interest rate = APR / n

Monthly Interest rate = 5.7% / 12

Monthly Interest rate = 0.475%

b.

APR = 5.7%

m = 12

EAR = [ ( 1 + (APR / m))^m] - 1

EAR = [( 1 + (0.057 / 12))^12] - 1

EAR = [( 1 + 0.00475 )^12] - 1

EAR = [( 1.00475 )^12] - 1

EAR = 1.0585 - 1

EAR = 0.0585

EAR = 5.85%

True monthly rate of​ interest is 0.475%

EAR is 5.85%

5 0
3 years ago
Becton Labs, Inc., produces various chemical compounds for industrial use. One compound, called Fludex, is prepared using an ela
brilliants [131]

Answer:

Becton Labs, Inc.

1. Direct materials:

a. Price variance

= $20,600 Favorable

Quantity variance

= $1,890 Unfavorable

b. The company can sign the contract provided it is made clear to the new supplier that price variations would not be welcome shortly after signing the contract, but will depend on the market realities.

2. Direct labor:

a. Direct labor rate and efficiency variances:

Direct labor rate variance

= $3,200 Favorable

Efficiency variance

= $8,160 Unfavorable

b. I would not recommend that the new labor mix be continued.  The old mix may be working better because the labor efficiency cost increased with the new mix labor mix.

3. The variable overhead rate and efficiency variances:

Variable overhead rate variance

= $5,200 Favorable

Variable overhead efficiency variance

= $2,380 Unfavorable

Explanation:

a) Data and Calculations:

Standard  Costs for 1 Unit of Fludex:

                                              Standard              Standard      Standard Cost

                                        Quantity or Hours   Price or Rate  

Direct materials                     2.40 ounces    $27.00 per ounce   $64.80

Direct labor                           0.60 hours        $12.00 per hour          7.20

Variable manufacturing

overhead                             0.60 hours          $3.50 per hour          2.10

Total standard cost per unit                                                           $74.10

Activities recorded during November:

a. Materials purchased = 13,000 ounces at $330,300

Each ounce = $25.41 (330,300/13,000)

b. Materials used for production = 10,150 ounces (13,000 - 2,850)

Standard materials = 4,200 * 2.40 = 10,080 ounces

c. Direct labor hours = 20 * 160 = 3,200 hours

Standard labor hours = 0.60 * 4,200 = 2,520

Average labor rate = $11.00 per hour

Direct labor costs = $35,200 ($11.00 * 3,200)

d. Standard variable overhead = $11,200 (3,200 *$3.50)

Actual overhead incurred = $6,000

Actual overhead rate = $1.43 ($6,000/4,200)

e. Units produced = 4,200

1. Direct materials:

a. Price variance = (Actual price - standard price)* Actual units

= ($25.41 - $27.00)13,000 = $20,600 F

Quantity variance = (Actual quantity - Standard quantity) Standard Cost

= (10,150 - 10,080) * $27.00

= $1,890 U

b. The company can sign the contract provided it is made clear to the new supplier that price variations would not be welcome shortly after signing the contract, but will depend on the market realities.

2. Direct labor:

a. Direct labor rate and efficiency variances:

Direct labor rate variance = (Actual rate - Standard rate) * Actual hours

= ($11 - $12) * 3,200 = $3,200 Favorable

Efficiency variance = (Actual hours - Standard hours) * Standard rate

= (3,200 - 2,520) * $12

= $8,160 Unfavorable

b. I would not recommend that the new labor mix be continued.  The old may be working better because the labor efficiency cost increased.

3. The variable overhead rate and efficiency variances:

Variable overhead rate variance = Actual costs − (AH × SR)

= $6,000 - (3,200 * $3.50)

= $6,000 - $11,200

= $5,200 Favorable

Variable overhead efficiency variance =  (AH − SH) × SR

= (3,200 - 2,520) * $3.50

= $2,380 Unfavorable

3 0
3 years ago
Which activity is a violation of intellectual property rights
Genrish500 [490]

Answer:

Violation of intellectual property rights is known as infringement. The most common infringements are appropriating someone else's property rights without authorization and using something else's property without paying for it.

For example a patent infringement happens when a company uses someone else's patent for producing their owns products or services, e.g. copy cell phone technologies.

Another common example is copyright infringement that happens when someone downloads a movie, song or software from the internet without paying a fee.

7 0
3 years ago
Baker Corp. is required by a debt agreement to maintain a current ratio of at least​ 2.5, and​ Baker's current ratio now is 3. B
Orlov [11]

Answer:

$1.67 Million

Explanation:

Current asset = 15 Million    

Current liabiltiy = 15 Million/3

                          = 5 Million    

Let the inventory X can be purchased with short term debt without violation

per current ratio requirement    

(15 + x)/5+x = 2.5    

       15 + x  = 12.5 + 2.5x    

            2.5 = 1.5x    

               x = $1.67 Million

Therefore, $1.67 Million inventory can Baker purchase without violating its debt agreement if their total current assets equal​ $15 million

7 0
3 years ago
Frictional unemployment is the result of Group of answer choices
Mrac [35]

Answer:

4. the normal process of jobs being created and destroyed.

Explanation:

Frictional unemployment is unemployment that is related to switching of jobs also called transitional unemployment. It occurs when workers leave jobs and get jobs as a result of normal labor tunover in a healthy economy.

In a growing economy frictional unemployment is the lowest type of employment bad there are abundant opportunities for workers.

Quitting a job is a voluntary type of frictional unemployment, while when an employee bis fired it is involuntary type of frictional unemployment.

8 0
3 years ago
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