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ElenaW [278]
2 years ago
7

Ralph buys a perpetuity due paying 500 annually. He deposits the payments into a savings account earning interest at an effectiv

e annual rate of 10%. Ten years later, before receiving the eleventh payment, Ralph sells the perpetuity based on an effective annual interest rate of 10%. Using the proceeds from the sale plus the money in the savings account, Ralph purchases an annuity due paying X per year for 20 years at an effective annual rate of 10%. Calculate X.
Business
1 answer:
Leto [7]2 years ago
3 0

Answer:

X = 1523

Explanation

Perpetuity due = (C/r) + C. Where Annual payment C =500, Annual effective interest rate = 10%

Perpetuity due = (500/10%) + 500 = 5500

Value of perpetuity due will remain same after 10 years

Money in saving account can be calculated with FV of an Annuity due formula

FV = C*(1+r) *{(1+r) ^n−1} / r

Where n = 10 years

FV = 500*(1+10%) * {(1+10%)^10 - 1} / 10%

FV = 500*1.10 * [1.10^10 - 1 / 0.10}

FV = 550 * 1.5937424601/0.10

FV = 550 * 15.937424601

FV = 8765.58353055

FV = 8766

Total proceeds = 5500 + 8766 = 14266

Now this proceed is the present value for annual payment of X calculation  . Formula of the present value (PV) of annuity due: PV = X * [1- (1+r) ^-n / r] * (1+r) : Where  PV = 14266, Annuity payment X = ?, Interest rate r = 10%, Period of annuity = 20 years.

1.10^-20

PV = X * [1- (1+r)^-n / r] * (1+r)

14266 = X * (1 - (1+10%)^-20 / 10%) * (1+10%)

14266 = X * [1 - 0.14864362802/0.10]*1.10

14266 = X * [8.5135637198*1.10]

14266 = X * 9.3649

X = 14266 / 9.3649

X = 1523.347820051469

X = 1523

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In July, one of the processing departments at Okamura Corporation had beginning work in process inventory of $26,000 and ending
notsponge [240]

Answer:

Total cost accounted will be $192000

So option (C) will be correct answer

Explanation:

We have given beginning work in process inventory = $26000

Ending work in process inventory = $31000

And cost of units transferred from the department is $161000

We have to find the total cost accounted

Total cost account will be equal to sum of ending process inventory and cost of units transferred out from the department

So total cost accounted = $31000 + $161000 = $192000

So option (C) will be correct answer  

7 0
3 years ago
Kearney Inc. has a factory with the following characteristics: direct labor of $82056, direct materials of $52432 fixed overhead
frutty [35]

Answer:

The amount of cost from Pool A that is allocated to LQ6 is $7,802.

Explanation:

Since Pool A includes all variable overhead and uses direct labor as the allocation base, we can obtain the following from the question:

Direct labor = $82,056

Variable overhead = $146,362

Number of labor hours used by LQ6 = 162

Factory's labor costs per hour = $27

Therefore, we have:

Factory's labor cost of LQ6 = Number of labor hours used by LQ6 * Factory's labor costs per hour = 162 * $27 = $4,374

Variable over allocated to LQ6 from Pool A = (Factory's labor cost of LQ6 / Direct labor) * Variable overhead = ($4,374 / $82,056) * $146,362 = $7,801.83518572682

Rounding to whole number of $ as required, we have:

Variable over allocated to LQ6 from Pool A = $7,802

Therefore, the amount of cost from Pool A that is allocated to LQ6 is $7,802.

4 0
2 years ago
Could the product flow operate independently from other channel flows?
11111nata11111 [884]
It could, as long as it fulfills these two conditions
- The products could generate enough profit without the boost that givenn by other channel flows.
- The independent operation would not cause a decrease in profit for other channels flow because eventually, business owners only want to do the combination that bring the most profit.
4 0
3 years ago
For most people, the purchase of a Ford automobile would employ which type of consumer decision making?
Nostrana [21]

Answer:

Extended decision making

Explanation:

Extended decision making is the decision making which involve the very high level of the purchase, an internal as well as extensive information search which is followed by the complex computation of the alternatives available and thorough evaluation is taken place when the purchase will take place.

So, for most of the people, when the decision of purchase is to be made like for the Ford automobile, the people will choose the extended decision making as it is expensive, infrequently purchased products.

5 0
2 years ago
A monopolist faces a demand curve given by: P = 105 – 3Q, where P is the price of the good and Q is the quantity demanded. The m
geniusboy [140]

Answer: 15

Explanation:

For profit to be maximized by a monopolist, the marginal revenue and marginal cost must be gotten.

P= 105-3Q

MC= 15

Since total revenue is price × quantity, TR= P×Q = (105-3Q)Q

= 105Q-3Q^2

MR= 105-6Q

Since we've gotten marginal revenue and marginal cost, we equate both together.

MR=MC

105-6Q = 15

6Q = 105-15

6Q=90

Divide both side by 6

6Q/6 = 90/6

Q= 15

The quantity that will maximise profit is 15

6 0
3 years ago
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