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Anna11 [10]
3 years ago
13

You purchased 1000 shares of stock in Cumberland Software for $3 per share on January 1, 2006. Over the next four years, you rec

eived 7 cents per share annually in dividends. On December 31, 2009, you sell all your shares of Cumberland Software for $16.50 per share. Brokerage commissions are 4% of the total transaction value when buying and selling.
a. What has been your total gross return (in percent) over the four years?
b. What has been your average annual return over the four years?
Business
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

a) Total gross return = 459.3%

b) Average annual return = $4,195

Explanation:

Let's begin by listing out the information given us:

Number of shares = 1000, purchase price = $3 per share,

dividend = 7 cents = $0.07 per share per year,

time = 4 years, sale price = $16.50 per share,

brokerage commission = 4%

Cost of shares purchased = number of shares * purchase price

Cost = 1000 * 3 = 3,000

Cost = $3,000

I purchased shares worth $3,000 on January 1, 2006

Total dividend received = dividend * number of shares * time

Total dividend = 0.07 * 1000 * 4 = $280

Over the course of 4 years, I received $280 in dividend

Price of share sale = number of shares * sale price

Price of share sale = 1000 * 16.50 = $16,500

brokerage commission = 4% of Price of share sale

brokerage commission = 0.04 * 16500 = $660

a) Total gross return = (dividend + price of share sale - cost of shares purchased) ÷ cost of shares purchased

Total gross return = (280 + 16500 - 3000) ÷ 3000

Total gross return = 13780 ÷ 3000 = 4.593

Total gross return = 4.593 * 100%

Total gross return = 459.3%

This means the investment made a profit of over 400% (four times the amount spent in purchasing the shares)

N.B: Total gross return does not include fees and expenses such as brokerage costs

b) Average annual return = Returns during the specified period ÷ time

Returns during the specified period = dividend + price of share sale = 280 + 16500 = $16,780

Average annual return = 16780 ÷ 4 = 4195

Average annual return = $4,195

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Answer:

$1,666,666.67

Explanation:

This is a time value of money(TVM) question specifically, a perpetuity.

Use the formula for present value of perpetuity to solve it. It is as follows;

PV or perpetuity = Recurring cashflow / interest rate

PV = CF / r

Recurring annual cashflow ; CF = 100,000

rate; r = 6% or 0.06 as a decimal

PV = 100,000 / 0.06

PV = 1,666,666.667

Therefore, your parents will deposit $1,666,666.67 today

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Answer:

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To make a profit the company will need sales for at least that amount:

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8 0
4 years ago
Determine the future amount if $240,000 is to be received 5 years from today, at 10 percent annual interest.
Novosadov [1.4K]
The future value of a given amount of money at a simple interest rate r% after t years is given by the formula: FV = PV(1 + rt), where PV is the present value of the money, r is the rate and t is the time.
FV = PV(1 + rt)
FV = 240000(1 + 0.1 x 5)
FV = 240000(1 + 0.5)
FV = 240000(1.5)
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Therefore, the future amount of $240,000 received 5 years from today at 10 percent annual interest is $360,000
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The central bank of the country Oakville is hosting its annual economic policy symposium with monetary policy as the theme. Seve
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Hope this helps!

3 0
3 years ago
Read 2 more answers
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