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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.

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Little LampLighter Inc has a book value of $10 million in debt; its bonds are trading at $900 and there are 11,000 outstanding.
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Based on the amount of debt and equity that Little LampLighter has, the weighted average rate of return would be 12.3%.

<h3>What is the weighted average rate of return?</h3>

First find the total value of debt and equity:
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The weighted average return is:

= (10 / 35 x 8%) + (25 / 35 x 14%)

= 2.286% + 10%

= 12.3%

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2 years ago
The financial statements of Trenton Office Supply include the following​ items: 2019 2018 Cash $ 46 comma 500 $ 43 comma 000 Sho
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1.21

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The following two graphs show the markets for smartphones in Sweden and Norway. Use the graphs to answer the questions that foll
zalisa [80]

Answer:

Assume there are no transportation costs. With trade, the price of $22.5 brings about balance in exports and imports. At this price, 600 smartphones are traded. With trade, Sweden produces 900 smartphones and consumes 300 smartphones, and Norway produces 300 smartphones and consumes 900 smartphones.

Now suppose the per-unit transportation cost from Sweden to Norway is $5. With trade, the transportation cost changes the price of smartphones in Sweden to $25 and in Norway to $25. Sweden will produce 800 smartphones and consume 400 smartphones, thus exporting 400 smartphones. Norway will produce 400 smartphones and consume 800 smartphones, thus importing 400 smartphones.

Explanation:

With no transportation costs, Sweden shall export smartphones and Norway shall import smartphones because the market price is lower in Sweden than in Norway.

The demand and supply functions for smartphones in Sweden, derived from the given values, are:

Q_{D} = 1200 - 40P\\

Q_{S} = 40P

The export supply (ES) equation is:

ES = Q_{S} - Q_{D}

ES = 40P - (1200 - 40P)

ES = 80P - 1200

The demand and supply functions for smartphones in Norway, derived from the given values, are:

Q_{D} = 1800 - 40P

Q_{S} = 40P - 600

The import demand (ID) equation is:

ID = Q_{D} - Q_{S}

ID = 1800 - 40P - (40P - 600)

ID = 2400 - 80P

The equilibrium price and quantity traded is determined where ES = ID.

80P - 1200 = 2400 - 80P

This simplifies to P = 22.5

Q = 2400 - 80(22.5) = 600

Next, a transaction cost of $5 per unit is imposed from Sweden to Norway. This changes the ES function as follows.

New ES = 80(P - 5) - 1200

New ES = 80P - 1600

The new equilibrium is where New ES = MD.

80P - 1600 = 2400 - 80P

This simplifies to P = 25

Q = 80(25) - 1600 = 400

7 0
3 years ago
Sheffield Corporation exchanged 2750 shares of Pharoah Company common stock, which Sheffield was holding as an investment, for e
AveGali [126]

Answer: Please refer to Explanation

Explanation:

When recording Equipment here the value of the shares at current value should be used and not the cost of the equipment.

DR Equipment $162,250

CR Investment in Pharaoh Company $137,500

CR Gain on Exchange $24,750

(To record Exchange of shares for Equipment)

Workings.

Investment in Pharaoh Company.

= 2,750 shares * $50(purchase price)

= $137,500

Gain on Exchange

= 2,750 shares * (Market Price - Purchase Price)

= 2,750 shares * ( 59 - 50)

= $24,750

Equipment.

= Investment in Pharoah Company + Gain on Exchange

= 137,500 + 24,750

= $162,250

6 0
2 years ago
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