1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ludmilka [50]
3 years ago
13

Today is your 20th birthday, and your parents just gave you $5,000 that you plan to use to open a stock brokerage account. You p

lan to add $500 to the account each year on your birthday. Your first $500 contribution will come one year from now on your 21st birthday. Your 45th and final $500 contribution will occur on your 65th birthday. You plan to withdraw $5,000 from the account five years from now on your 25th birthday to take a trip to Europe. You also anticipate that you will need to withdraw $10,000 from the account 10 years from now on your 30th birthday to take a trip to Asia. You expect that the account will have an average annual return of 12%. How much money do you anticipate that you will have in the account on your 65th birthday, following your final contribution
Business
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

You anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

Explanation:

To calculate this, we use the formula for calculating the future value (FV) and FV of ordinary annuity as appropriate as given below:

FVd = D * (1 + r)^n ......................................................................... (1)

FVo = P * {[(1 + r)^n - 1] ÷ r} ...................... (2)

Where,

FVd = Future value of initial deposit or balance amount as the case may be = ?

FVo = FV of ordinary annuity starting from a particular year = ?

D = Initial deposit = $5,000

P = Annual deposit =s $500

r = Average annual return = 12%, or 0.12

n = number years = to be determined as necessary

a) FV in five years from now

n = 5 for FVd

n = 4 for FVo

Substituting the values into equations (1) and (2), we have:

FVd = $5,000 * (1 + 0.12)^5 = $8,812

FVo = $500 * {[(1 + 0.12)^4 - 1] ÷ 0.12} = $2,390

FV5 = Total FV five years from now = $8,812 + $2,390 = $11,201

FVB5 = Balance after $5,000 withdrawal  in year 5 = $11,201 - $5,000 = $6,201.

b) FV in 10 years from now

n = 10 - 5 = 5 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB5 = $6,201 * (1 + 0.12)^5 = $10,928

FVo = $500 * {[(1 + 0.12)^5 - 1] ÷ 0.12} = $3,176

FV10 = Total FV 10 years from now = $10,928 + $3,176 = $14,104

FVB10 = Balance after $10,000 withdrawal  in year 10 = $14,104 - $10,000 = $4,104

c) FV in 45 years from now

n = 45 - 10 = 35 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB10 = $4,104 * (1 + 0.12)^35 = $216,690

FVo = $500 * {[(1 + 0.12)^35 - 1] ÷ 0.12} = $215,832

FV45 = Total FV 45 years from now = $216,690 + $215,832 = $432,522

Conclusion

Therefore, you anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

You might be interested in
Branson paid $566,700 cash for all of the outstanding common stock of Wolfpack, Inc., on January 1, 2017. On that date, the subs
ra1l [238]

Answer:

a.

Dr Investment in Wolfpack, Inc. 618,500

Cr Contingent performance obligation 51,800

Cr Cash 566,700

b.

12/31/17

Dr Loss from increase in contingent performance obligation 7,400

Cr Contingent performance obligation 7,400

12/31/17

Dr Loss from increase in contingent performance obligation 200

Cr Contingent performance obligation 200

12/31/18

Dr Contingent performance obligation 59,000

Cr Cash 59,000

c.

Equity Method

Dr Common stock- Wolfpack 200,000

Dr Retained earnings-Wolfpack 274,000

Cr Investment in Wolfpack 474,000

Dr Royalty agreements 122,400

Dr Goodwill 71,500

Cr Investment in Wolfpack 193,900

Dr Equity earnings of Wolfpack 74,400

Cr Investment in Wolfpack 74,400

Dr Investment in Wolfpack 25,000

Cr Dividends paid 25,000

Dr Amortization expense 13,600

Cr Royalty agreements 13,600

d.

Initial Value Method

Dr Investment in Wolfpack 59,400

Cr Retained earnings-Branson 59,400

Dr Common stock- Wolfpack 200,000

Dr Retained earnings-Wolfpack 284,000

Cr Investment in Wolfpack 484,000

Dr Royalty agreements 122,400

Dr Goodwill 71,500

Cr Investment in Wolfpack 193,900

Dr Dividend income 25,000

Cr Dividends paid 25,000

Dr Amortization expense 13,600

Cr Royalty agreements 13,600

Explanation:

a. Preparation of the Journal entry to record the acquisition of the shares of its Wolfpack subsidiary

Dr Investment in Wolfpack, Inc. 618,500

Cr Contingent performance obligation 51,800

Cr Cash 566,700

(566,700+51,800)

b. Preparation of the Journal entries at the end of 2017 and 2018 and the December 31, 2018, payment.

12/31/17

Dr Loss from increase in contingent performance obligation 7,400

(59,200 - 51,800)

Cr Contingent performance obligation 7,400

12/31/17

Dr Loss from increase in contingent performance obligation 200

(59,000 - 59,200)

Cr Contingent performance obligation 200

12/31/18

Dr Contingent performance obligation 59,000

Cr Cash 59,000

c. Preparation of consolidation worksheet journal entries as of December 31, 2018

Equity Method

Dr Common stock- Wolfpack 200,000

Dr Retained earnings-Wolfpack 274,000

(211,000+ (78,000 - 15,000)

Cr Investment in Wolfpack 474,000 (274,000+200,000)

Dr Royalty agreements 122,400

(136,000 - 13,600)

(136,000/10 years=13,600)

Dr Goodwill 71,500

( 618,500- 411,000 - 136,000)

Cr Investment in Wolfpack 193,900

(122,400+71,500)

Dr Equity earnings of Wolfpack 74,400

(88,000 - 13,600)

Cr Investment in Wolfpack 74,400

Dr Investment in Wolfpack 25,000

Cr Dividends paid 25,000

Dr Amortization expense 13,600

(136,000/10 years)

Cr Royalty agreements 13,600

d. Preparation of consolidation worksheet journal entries as of December 31, 2018,

Initial Value Method

Dr Investment in Wolfpack 59,400

(88,000-15,000-13,600)

Cr Retained earnings-Branson 59,400

Dr Common stock- Wolfpack 200,000

Dr Retained earnings-Wolfpack 284,000

(211,000+ (88,000 - 15,000)

Cr Investment in Wolfpack 484,000

(284,000+200,000)

Dr Royalty agreements 122,400

(136,000 - 13,600)

Dr Goodwill 71,500

( 618,500 - 411,000 - 136,000)

Cr Investment in Wolfpack 193,900

Dr Dividend income 25,000

Cr Dividends paid 25,000

Dr Amortization expense 13,600

Cr Royalty agreements 13,600

6 0
3 years ago
Question 2
Vesnalui [34]

Answer:

d. willingness to pay of all buyers in the market.

Explanation:

The demand curve shows the relationship between the price of a good or service and the quantity demanded at a particular time.

Therefore, a demand curve reflects:

a. highest price buyers are willing to pay for each quantity.

b.quantity that each buyer will ultimately purchase.

c. value each buyer in the market places on the good.

With this in mind, what the demand curve does not reflect, with these in mind is a willingness to pay of all buyers in the market.

8 0
2 years ago
The price of a certain property increased by 10% in the first year, decreased by 20% in the second year, and increased by 25% in
Fynjy0 [20]

Answer:

Let suppose the value of property is 100 dollars currently.

The price of a certain property increased by 10% in the first year, means the value of property at this point is (100 *1.1) 110 dollars.

In the second year the value of property decreases by 20% mean the value of property at this point is (110*0.80) 88 dollars, that is 80% of previous value determine.

In the third year the value of property increases by 25% mean the value of property at this point is (88*1.25) 110 dollars that is 25% more than previous value determine.

So in second year the value in dollars is 88 dollars.

3 0
3 years ago
QRM, Inc.'s marginal tax rate is 35%. It can issue 10-year bonds with an annual coupon rate of 7% and a par value of $1,000. Aft
puteri [66]

Answer:

4.87%

Explanation:

In this question , we are asked to calculate the appropriate after-tax cost of new debt for the firm to use in capital budgeting analysis.

PMT = 1000*7% = 70 (indicates the amount of interest payment)

Nper = 10 (indicates the period over which interest payments are made)

PV = 966 (indicates the present value)

FV = 1000 (indicates the future/face value)

Rate = ? (indicates the cost of debt)

After Tax Cost of Debt = Rate(Nper,PMT,PV,FV)*(1-Tax Rate) = Rate(10,70,-966,1000)*(1-.35) = 4.87%

6 0
3 years ago
Why are both non excludability and non rivalry important elements of public goods?
USPshnik [31]
Because all people ( the public ) can fully enjoy this good/service without competing for it.
7 0
3 years ago
Other questions:
  • Which life insurance policy provision prohibits a beneficiary from "commuting, encumbering, withdrawing, or assigning" any porti
    7·1 answer
  • List at least three examples of capital as a factor of production, and explain how it is different from land.
    14·1 answer
  • The type of shipping paper used in highway transportation is called a:
    10·1 answer
  • You will undoubtedly find yourself in numerous leadership situations during your professional career.
    9·1 answer
  • Crystal Charm Company makes handcrafted silver charms that attach to jewelry such as a necklace or bracelet. Each charm is adorn
    15·1 answer
  • On November 1, 2017, Bob, a cash basis taxpayer, gave Dave common stock. On October 30, 2017, the corporation had declared the d
    13·1 answer
  • A radio station wants to increase the diversity of age groups that tune in to their shows. How would the radio station achieve t
    11·2 answers
  • GG Inc. uses LIFO. GG disclosed that if FIFO had been used, inventory at the end of 2021 would have been $16 million higher than
    15·1 answer
  • A few years ago the British government was considering​ retiring, or buying back from​ investors, some outstanding consols that
    5·1 answer
  • Kirtland Corporation uses a periodic inventory system. At the end of the annual accounting period, December 31 , the accounting
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!