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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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A corporation issued 5,000 shares of $20 par value common stock for $120,000 cash. A corporation issued 2,500 shares of no-par c
lapo4ka [179]

Answer:

Journal Entries Transaction

1.

Dr. Cash                                                                    $120,000

Cr. Common stock                                                   $100,000

Cr. Paid-in capital excess of par, Common stock  $20,000

2.

Dr. Company expenses                                                        $22,000

Cr. Common stock, $1 stated value                                     $2,500

Cr. Paid-in-capital excess of stated value common stock $19,500

3.

Dr. Company expenses                 $22,000

Cr. Common stock, no-par value  $22,000

4.

Dr. Cash                                                                   $53,250

Cr. Preferred stock, $25 par value                         $31,250

Cr. Paid-in capital excess of par preferred stock  $22,000

Explanation:

1. The Excess of common stock and cash received will be recorded in the Paid in capital in excess of par value, common Stock account.

Common Stock, $20 Par Value = 5,000 shares × $20 per share = $100,000

Paid in capital in excess of par value, common Stock = $120,000 – $100,000 = $20,000

2.The Excess of common stock and cash received will be recorded in the Paid in capital in excess of stated value, common Stock account.

Common stock = $1 x 2,500 = $2,500

Paid-in capital in excess of stated value, common stock = $22,000 - $2,500 = $19,500

4. The Excess of common stock and cash received will be recorded in the Paid in capital in excess of par value, common Stock account.

Preferred Stock, $25 Par Value = 1,250 shares × $25 per share = $31,250

Paid in capital in excess of par value, preferred Stock = $53,250 – $31,250 = $22,000

6 0
3 years ago
A company’s total monthly sales (in millions of dollars) t months from now are given by:
Elina [12.6K]

Answer:

a) \frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

b) S(4) = 0.5*(4^2) +3(4) -5=15 million

c) For this case we have the total sales $ 15 millions after t =4 months

d) S'(4) = 4+3 = 7 million

e) This value represent the increase in the amount of sales in millions after t=4 months

Explanation:

For this case we have the following function for the sales

S(t) = 0.5 t^2 +3t -5

Part a          

For this case we want to find the derivate of S respect to t and we got:

\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3

Part b

For this case we want to find the value of S when t = 4 so if we replace we got:

S(4) = 0.5*(4^2) +3(4) -5=15 million

Part c

For this case we have the total sales $ 15 millions after t =4 months

Part d

For this case we just need to replace t=4 in the derivate and we got:

S'(4) = 4+3 = 7 million

Part e

This value represent the increase in the amount of sales in millions after t=4 months

3 0
3 years ago
What's price in economics
irinina [24]

Answer:

the amount of money that has to be paid to acquire a given product.

<em>I hope this helps! ^^</em>

7 0
1 year ago
Read 2 more answers
UESTION 7 You hold a portfolio consisting of a $5,000 investment in each of 20 different stocks. The portfolio beta is equal to
PSYCHO15rus [73]

Answer:

New Beta = 1,17

Explanation:

Portfolio   #   Beta   NEW Beta  

$ 5.000          1  1,00   2,00  

$ 5.000         2  1,12   1,12  

$ 5.000         3  1,12   1,12  

$ 5.000         4  1,12   1,12  

$ 5.000         5  1,12   1,12  

$ 5.000         6  1,12   1,12  

$ 5.000         7  1,12   1,12  

$ 5.000         8  1,12   1,12  

$ 5.000         9  1,12   1,12  

$ 5.000        10  1,12   1,12  

$ 5.000        11  1,12   1,12  

$ 5.000        12  1,12   1,12  

$ 5.000        13  1,12   1,12  

$ 5.000        14  1,12   1,12  

$ 5.000        15  1,12   1,12  

$ 5.000        16  1,12   1,12  

$ 5.000        17  1,12   1,12  

$ 5.000        18  1,12   1,12  

$ 5.000        19  1,12   1,12  

$ 5.000        20  1,24   1,24  

$ 100.000           1,12   1,17  

5 0
3 years ago
What can be defined as an information technology environment?
alisha [4.7K]
C. The tools and processes that surround us to gather and interpret data can be defined as an information technology environment. 
Our environment is what surrounds us - so if the environment is technological, then different types of technologies and tools are what fall under that category.
6 0
3 years ago
Read 2 more answers
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