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olasank [31]
3 years ago
9

You want to buy an annuity that will pay you $1000 per year for 20 years. You find an account that will pay 4% per year, compoun

ded annually. How much must you deposit today in order to fund this annuity?
Business
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

The amount to be deposited today = $13,590.33

Explanation:

<em>The amount to be paid for the annuity would the sum equal to the present value of the cash flow from the annuity.</em> The present value of an ordinary annuity is determined using the relationship below:

PV of annuity = A× ( (1-(1+r)^(-n) )/r

A- Annual cash flow

r- interest rate per annul

n- Number of years

PV- Present Value of annuity'

DATA

A-1000

r- 4%

n- 20

PV = 1,000 ×( (1 - 1.04^(-20))/0.04 =$13,590.33

The amount to be deposited today = $13,590.33

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Game theory is:A. a strategy that requires cooperation when multiple parties are involved.B. a methodology to accomplish winning
Makovka662 [10]

Answer:

C. the study of strategy and strategic behavior.

Explanation:

Game theory is the study of strategy and strategic behavior. It is assumed that the parties involved are rational. The payoff of a player of a game is determined by the actions of others in the game.

A popular example of game theory is the prisoners dilemma.

A game theory can involve more than two players.

An example of prisoners dilemma:

There are two prisoners - if both confess to a crime, they both get 5 years in prison. If both prisoners don't confess they are set free. If one confess and the other doesn't, the prisoner that confesses 2 years in prison while the other prisoner that didn't confess gets 10 years in prison.

The dominant strategy which is the best option for the prisoner regardless of what the other prisoner does is to confess.

The Nash equilibrium is for both prisoners to defect.

I hope my answer helps you

6 0
3 years ago
Marketing Docs prepares marketing plans for growing businesses. For 2017, budgeted revenues are $1,500,000 based on 500 marketin
pishuonlain [190]

Answer:

Option (a) is correct.

Explanation:

Contribution margin per marketing plan = Sales - Variable cost

                                                                   =  $3,000 - $2,000

                                                                   = $1,000

A.

(1) Break-even\ in\ rooms=\frac{Fixed\ cost}{contribution\ margin\ per\ marketing\ plan}

Break-even\ in\ rooms=\frac{400,000}{1,000}

Break even in marketing plan = 400

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 400 × 3,000

= 1,200,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                                = 1,500,000 - 1,200,000

                                = 300,000

Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{300,000}{1,500,000}

                                             = 20%

B.

(1) Contribution margin per marketing plan = Sales - Variable cost

                                                                   =  $4,000 - $2,000

                                                                   = $2,000

Break-even\ in\ rooms=\frac{Fixed\ cost}{contribution\ margin\ per\ marketing\ plan}

Break-even\ in\ rooms=\frac{400,000}{2,000}

Break even in marketing plan = 200

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 200 × 4,000

= 800,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                                = 1,500,000 - 800,000

                                = 700,000

Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{700,000}{1,500,000}

                                             = 47%

Therefore, option (a) would achieve the margin of safety ratio more than 45%.

7 0
3 years ago
Determine the market potential for a product that has 20 million prospective buyers who purchase an average of 2 per year and pr
Gnoma [55]

4,000,000 units should be sold a company

<u>Explanation:</u>

<u>Calculating the sales in units:</u>

It has been given that the toal market demand is $20 million, average quantity purchased by buyer per year is 2 units, price average is $50, and the desired share of the market is 10%.

Q=n * q * p

Where:

Q = Total market demand,

N = number of buyers in the market, q = average quantity purchased by the buyer per year,

P = price of average unit

$\mathrm{Q}=20,000,000$ buyers $* 2$ per unit per buyer $* \$ 50$ per unit

= $2,000,000,000

Market share = $(20,000,000 \text { buyers } * 2 \text { units per buyer }) * 0.1$

= 4,000,000 units

Hence, the company should sell 4 million units to achieve 10 percent market share.

6 0
3 years ago
The purpose of an executive summary is to A. combine information from various sources in novel and insightful ways that do not r
Savatey [412]
<h2>The purpose of an executive summary is to represent briefly the most important elements of your report including the key findings and conclusions.</h2>

Explanation:

Executive summary:

  • To highlight the main feature thus catching the attention of readers to learn more on it.
  • It should state the purpose of the report which is mandatory
  • It should also contain the results and recommendation too
  • It is just a overview of the important findings
  • The report should be presented in such a manner that the reader does not get bored
  • This can also be called as synopsis
3 0
3 years ago
A cash budget, by quarters, is given below for a retail company (000 omitted). The company requires a minimum cash balance of at
dem82 [27]
Boring 7 then - 9 from the Austin
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