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adoni [48]
2 years ago
10

An investment pays you $30,000 at the end of this year, and $15,000 at the end of each of the four following years. What is the

present value (PV) of this investment, given that the interest rate is 5% per year
Business
1 answer:
Stella [2.4K]2 years ago
8 0

Answer:

Present value of the cashflow discounted at 5% per year 76,815.65

Explanation:

First, we calculate the present value of the 4 years 15,000 dollar annuity:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 15,000.00

time 4

rate 0.05

15000 \times \frac{1-(1+0.05)^{-4} }{0.05} = PV\\

PV $53,189.2576

Now, we discount two more year as lump sum as this is two year after the invesmtent:

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity  53,189.26

time  2.00

rate  0.05000

\frac{53189.2575624354}{(1 + 0.05)^{2} } = PV  

PV   48,244.2245

Finally we also discount the 30,000 by one year

30,000 / 1.05 = 28571.43

<em><u>We add up both to get the present value:</u></em>

48,244.22 + 28,571.43 =  76,815.65  

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       i. Limited cash on hand to make changes

              It is apparent from the case that the company is experiencing a drop in the sales from the past 5 years and thus, the financial reserves will be a constraint in the accomplishment of the idea.

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Being a newbie to the company, it is a wise option to follow the instructions of the reporting authority to establish rapport with the owner of the organization.

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Answer:

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b. $900, 000

c. $140, 000

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Ralph Mini-Mart Store in Alpine:

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(b) Transfers- In: this is the inventory that was purchased during the financial year. This value will include the cost of the inventory and any other costs that were incurred to bring the inventory to the store house of Ralph’s Mini – Mart. In this instance, the additional cost is the transportation cost of $30, 000 that was incurred to transport the inventory from the supplier to the warehouse.  

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(c) Ending balance: the ending balance is the value of inventory at the end of the financial year. This is the value of inventory that Ralph’s remains with after purchasing inventory from suppliers and selling inventory to customers. This value will take into account any inventory write- downs and obsolescence. In this instance, there has been no inventory write- downs and no inventory obsolescence or thefts.  

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