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belka [17]
3 years ago
14

You are scheduled to receive annual payments of $60,000 for each of the next 20 years. The annual rate of return is 8 percent. W

hat is the difference in the future value in year 20 if you receive these payments at the beginning of each year rather than at the end of each year
Business
1 answer:
babymother [125]3 years ago
3 0

Answer:

= $ 219,657.43

Explanation:

FV of annuity = P x [(1+r) n -1/r]

P = Periodic payment = $ 20,000

r = Periodic interest rate = 0.08

n = Number of periods = 20

FV = $ 60,000 x [(1+ 0.08)20 -1/0.08]

  = $ 60,000 x [(1.08)20 -1/0.08]

  = $ 60,000 x [(4.66095714384931 -1)/0.08]

  = $ 60,000 x (3.66095714384931/0.08)

= $ 60,000 x 45.7619642981163

= $ 2,745,717.85788698 or $ 2,745,717.86

FV of annuity due =(1+r) x P x [(1+r) n -1/r]

                              = (1+0.08) x $ 2,745,717.85788698

                              = 1.08 x $ 2,745,717.85788698

                             = $ 2,965,375.28651794 or $ 2,965,375.29

Difference in FV of ordinary annuity and annuity due

                             = $ 2,965,375.29 - $ 2,745,717.86

                             = $ 219,657.43

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There were a total of 90 people in the households, 10 of the people were children under 16, 10 of the people were retired but st
Vlad1618 [11]

Answer:

The unemployment rate is 42.85.

Explanation:

The formula to calculate the unemployment rate is:

Unemployment Rate = (Unemployed People / Total Labor) x 100 -- (1)

where total labor is the sum of the unemployed people and employed people.

Unemployed People = 10 Retired persons + 5 stay-at home parents + 10 persons with no job + 5 persons who wanted job

Unemployed People = 30

Labor Force = Employed people + Unemployed people

Labor Force = 40 + 30

Labor Force = 70

Putting the values in equation 1,

Unemployment Rate = ( 30/ 70) x 100

Unemployment Rate = 42.85

7 0
4 years ago
Diane's Designs has two classes of stock authorized: 8%, $10 par value preferred and $1 par value common. As of January 1, 2021,
devlian [24]

Answer:

Common stock = $210,000

Preferred stock = $15,000

Additional paid in capital = $2,801,000

Treasury stock  =    $120,000

Retained earnings = $31,600

Explanation:

Diane's Designs has two classes of stock authorized: 8%, $10 par value preferred and $1 par value common.

As of January 1, 2021, the following accounts had the following balances: Common Stock $10,000, preferred stock $5,000, retained earnings was $9,600.

The following transactions affect stockholders' equity during 2021, its first year of operations: January 1-Dec. 31 Net Income $25,000

January 1 Issue 200,000 shares of common stock for $15 per share.

JOURNAL ENTRIES

Dr. Bank.......................3,000,000

Cr. Common stock.......................200,000

Cr. Additional Paid-in capital..2,800,000

February 6 Issue 1,000 shares of preferred stock for $11 per share.

JOURNAL ENTRIES

Dr. Bank.......................11,000

Cr. Preferred stock.......................10,000

Cr. Additional Paid-in capital.......1,000

October 10 Purchase 10,000 shares of its own common stock for $18 per share.

JOURNAL ENTRIES

Dr. Treasury Stock.......................180,000

Cr. Bank........................................................180,000

November 12 Resell 5,000 shares of treasury stock at $20 per share.

JOURNAL ENTRIES

Dr. Bank..............60,000

Cr. Treasury Stock.......................60,000

December 31 Paid dividends of $3,000

The closing balances can be computed as beginning balances + changes in the year = closing balances:

Common stock = 10,000 + 200,000 = $210,000

Preferred stock =  5,000 + 10,000 =    $15,000

Additional paid in capital = 2,800,000 + 1,000 = $2,801,000

Treasury stock  = 180,000 - 60,000 = $120,000

Retained earnings 9,600 + 25,000 - 3,000 = $31,600

8 0
3 years ago
When the government of any country restricts the sale of a particular commodity to certain groups — for example, restricting sal
Alla [95]

Answer:

qualified available

Explanation:

Qualified available Market refers to the situation when only customers with specific criteria are able to make a purchase. In most cases, those criteria revolved around age, gender, or group membership.

Alcochol is an example of qualified available market because it created a situation which only allow consumers older than 21 to make a purchase.

Other example would be Waxing salon.  Large portion of waxing salons only allow female customers to purchase their service (since the workers are also females and feel uncomfortable to give their service to male customers.)

8 0
3 years ago
Why is it important to understand economics
Nookie1986 [14]
Macroeconomics is important because it allows the public to understand the economy as a whole, fiscal policy and global economic policy.
5 0
3 years ago
Find the future value of $10,000 invested now after five years if the annual interest rate is 8 percent. What would be the futur
inysia [295]

Answer:

$4,000

Explanation:

P- percent

r-rate

t-time

P: 10000

R:8 but u have to move it two spots so it would be 0.08

T:5 years

10,000(0.08) (5) = 4,000

$4,000

That's how I do it. I hope it helps!

5 0
2 years ago
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