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Pavel [41]
3 years ago
9

You have just received a windfall from an investment you made in a​ friend's business. He will be paying you at the end of this​

year, at the end of the following​ year, and at the end of the year after that​ (three years from​ today). The interest rate is per year. a. What is the present value of your​ windfall? b. What is the future value of your windfall in three years​ (on the date of the last​ payment)?
Business
1 answer:
ohaa [14]3 years ago
3 0

Answer:

a. $80,318.70

b. $97,568.57

Explanation:

Here is the full question :

You have just received a windfall from an investment you made in a​ friend's business. She will be paying you $ 15 comma 555 at the end of this​ year, $ 31 comma 110 at the end of next​ year, and $ 46 comma 665 at the end of the year after that​ (three years from​ today). The interest rate is 6.7 % per year. a. What is the present value of your​ windfall? b. What is the future value of your windfall in three years​ (on the date of the last​ payment)?

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $ 15,555

Cash flow in year 2 = $31,110

Cash flow in year 3 =  $ 46,665

I = 6.7%

Present value = $80,318.70

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

$80,318.70(1.067)^3 = $97,568.57

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Explanation:

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Inventory turnover is the average number of days it takes a Nikola Motors to sell its its stock and replenish it. This can be determined by either working it out in number of times the stock is sold and replenished or the length of days its takes to do same.

The formula for both are given below:

Inventory turnover( no of times) = Cost of goods sold / average inventory

                                                <em>    = x number of times</em>

Inventory days = (Average inventory/ Cost of goods sold) *365 days

                           <em> = number of days</em>

<em>Note: The inventory figure was not given in the question, but we can work it out;</em>

Current assets= cash + inventory + receivables

85,000 = 38,250 + 21,250 + y                           <em>Lets "y "demote inventory</em>

y = 85,000 - 38250 - 21, 250

y= 25,500

<em />

<em>Also we need to work out cost of sold;</em>

Cost of goods sold = 65% × 100,000

                                = 65,000

<em>Now we can work out the inventory turnover;</em>

Inventory turnover =  65,000/25,500

<em>                             </em>  =  2.55 times

Nikola Motors is seling and replacing its inventory 2.55 times

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