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Nookie1986 [14]
3 years ago
10

Guerilla Radio Broadcasting has a project available with the following cash flows : Year Cash Flow 0 −$15,700 1 6,400 2 7,700 3

4,500 4 4,100 What is the payback period?
Business
1 answer:
drek231 [11]3 years ago
5 0

Answer: 2.36 years

Explanation:

Payback period is the amount of time it will take to pay off the initial investment/ outlay which in this case is $15,700.

= Year before investment is paid + (Amount remaining/ Cashflow in year of Payback)

Add up the cashflows to find the year before payback;

= 6,400 + 7,700

= $14,100

Year before payback = 2

Amount remaining;

= 15,700 - 14,100

= $1,600

Payback period = 2 + (1,600/ 4,500)

= 2.36 years

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Harlamova29_29 [7]

Answer:

1. Interest compounded annually = $18,049.74

2. Interest compounded quarterly = $18,493.77

3. Interest compounded Monthly = $18,598.16

4. Interest compounded continuously = $18,651.19

Explanation:

First let me state the formula for compound interest:

The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:

FV = PV (1+\frac{r}{n} )^{n*t}

where:

FV = Future value

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r = interest rate in decimal = 0.07

n = number of compounding periods per year

t = compounding period in years = 14

For interests compounded continuously, the Future value is given as:

FV = PV × e^{r*t}

where

e is a mathematical constant which is = 2.7183

Now to calculate each on the compounding periods one after the other:

1. Interest compounded annually:

here n (number of compounding periods annually) = 1

Therefore,

FV = 7,000 × (1+\frac{0.07}{1})^{14}

FV = 7,000 × 1.07^{14} = $18,049.74

2. Interest compounded quarterly:

here, n = 3 ( there are 4 quarters in a year)

FV = 7,000 × (1+\frac{0.07}{4} )^{4*14}

FV = 7,000 × 1.0175^{56} = $18,493.77

3. Interest compounded Monthly:

here n = 12 ( 12 months in a year)

FV = 7,000 × (1+\frac{0.07}{12} )^{12*14}

FV = 7,000 × 1.005833^{168} = $18,598.16

4. Interests compounded continuously:

FV = PV × e^{0.07 * 14}

FV = 7,000 × 2.66446 = $18,651.19

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Answer:

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Explanation:

As 4,210 shares is retired and each shares carries a $5 Paid-in capital in excess of par ( Issued price - Par value = $8 - $3 = $5), the retirement of 4,210 shares will include the clear of 4,210 x 5 = $21,050 in Paid-in capital in excess of par.

The beginning balance of the Paid-in capital in excess of par account = (8 -3) x 100,000 = 300,000

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Answer:

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