Business, 19.03.2020 00:06 mohayon2020

Your neighborhood self-service laundry is for sale and you consider investing in this business. For the business alone and no other assets (such as building and land), the purchase price is $240,000. The net cash flows for the project are $30,000 per year for the next 5 years. You plan to borrow the money for this investment at 5%.

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The complete present value calcuation is below.The net present value of this project is: $77,930.58 (assuming a value for the sale of the business equal to the purchase price).

Explanation:

For this problem, the first and basic question is:

Prepare a net present value calculation for this project. What is the net present value of this project?Solution

The net present value is equal to: the present value of the future cash flows less present value of the investements.

1. Present value of the future cash flows:

The discount factor is equal to 1 / [1 + (1 + r)ⁿ]

Where:

r = 5% = 0.05n = the number of year

Year Cash flow Discount factor Present value

1 $30,000 1/(1 + 0.05) $30,000/1.05 = $28,571.43

2 $30,000 1/(1 + 0.05)² $30,000/(1.05)² = $27,210.88

3 $30,000 1/(1 + 0.05)³ $30,000/(1.05)³ = $25,915.13

4 $30,000 1/(1 + 0.05)⁴ $30,000/(1.05)⁴ = $24,681.07

5 $30,000 1/(1 + 0.05)⁵ $30,000/(1.05)⁵ = $23,505.78

5 $240,000* 1/(1 + 0.05)⁵ $240,000/(1.05)⁵ = $188,046.28

*For the year 5 you must also consider the value of the business, which is unknow. You should have some information about it. Although unrealistic, at this stage we can just assume a value: let's say it is the same purchase price: $240,000. That is what the last line shows:

The discount the value of the value of the business is:

$240,000 / (1.05)⁵ = $188,046.28

The total present value of the future cash flows is the sum of the present values of all the cash flows:

$28,571.43 + $27,210.88 + $25,915.13 + $24,681.07 + $23,505.78 + $188,046.28 = $317,930.58

2. Calculate the net present value:

Net present value =

= Total present value of future cash flows - investment

Net present value = $317,930.58 - $240,000 = $77,930.58

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Answer from: Quest

$527.7.if the following was the question $527.7 is the answer.students who are trying to raise funds have an agreement with a local pizza chain. the chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local community for a profit. it is expected that of the 500 families in the community, at most 70% will buy pizza. based on a survey of their personal preferences, the students believe that they should order no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. they also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. they make a profit of $1.45, $1.75, and $1.98, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. how many pizzas of each type should they buy?

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Your neighborhood self-service laundry is for sale and you consider investing in this business. For...