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The XYZ is a startup company and is currently looking for storage spaces. The ma

ID: 2797289 • Letter: T

Question

The XYZ is a startup company and is currently looking for storage spaces. The market cost of renting and maintaining a storage room is $7500 per year. Another option is to build their own permanent storages The estimated cost of constructing one permanent storage is $218,000 and the annual cost of maintaining it is $12,000. 2. a. If the useful life of a permanent storage is assumed to be 20 years, how many storage spaces could be rented each year to break even with the cost of one permanent storage? Let i = 10% per year. Company XYZ decided t Maintenance cos income. Determin construction cost, with o build a storage and rent it out with these two rental plans detailed below ts of the storage will be paid by the renter and have been factored into the net e which rental plan has a shorter payback period to recover the $218,000 b. 10% per year. cost be recovered in 10 years? If not, what can the company do? truction is 10% per year, which rental plan is more beneficial when n-30? d, with Plan A Plan B Net income per year 30,000 $20,000 (first 10 years) $40,000 (11th year onwards)

Explanation / Answer

The cost of constructing oe permanent storage is 218000 and thus if the company wants to build the storage the cash outlay will be 218000
and thus initial outaly = -218000 (at time zero)

Also if the company gives on rent or itself rents the storage the cost if 75000 of which 12000 is maintainance. Thus if the company gives permanent storage on rent their cash inflow would be 75000-12000 = 63000 per year (at time 1 to n)


Answer a.
Thus discounting the cash inflow by a year = 63000 / 1.1 = 57272.72
the number of storage can be rented to break even = 218000/57272.72 = 3.806


Answer b.
If the maintainance cost would be paid by renter the cash inflow would be entire of 75000
And thus discounting cashflow at 10% the break even point for projects are as below:

Years

Cashflow (factored in net income)

Discounted cashflow = Cashflow / 1.1^n

Cumulative Cashflow = Discounted cumulative cashflow in previous year + discounted cashflow in current year

0

-218000

-218000

-218000

1

63000

57273

-160727

2

63000

52066

-108661

3

63000

47333

-61328

4

63000

43030

-18298

5

63000

39118

20820

Payback period = 4 + (39118-20820) / 39118

4.468

Years

Cashflow (paid by renter)

Discounted cashflow = Cashflow / 1.1^n

Cumulative Cashflow = Discounted cumulative cashflow in previous year + discounted cashflow in current year

0

-218000

-218000

-218000

1

75000

68182

-149818

2

75000

61983

-87835

3

75000

56349

-31486

4

75000

51226

19740

5

75000

46569

66309

Payback period = 3 + (51226-19740) / 51226

3.615

Thus plan with maintenance storage cost paid by renter has a shorter payback period.



Answer c.
Yes the construction cost can be recovered in 10 years under both the plans ie if renter pays maintenance cost or it is factored in net income.


Answer d.
To see which plan is more beneficial we need to calculate NPV which is as below:

Years

Plan A

Plan B

0

-218000

-218000

1

30000

20000

2

30000

20000

3

30000

20000

4

30000

20000

5

30000

20000

6

30000

20000

7

30000

20000

8

30000

20000

9

30000

20000

10

30000

20000

11

30000

40000

12

30000

40000

13

30000

40000

14

30000

40000

15

30000

40000

16

30000

40000

17

30000

40000

18

30000

40000

19

30000

40000

20

30000

40000

21

30000

40000

22

30000

40000

23

30000

40000

24

30000

40000

25

30000

40000

26

30000

40000

27

30000

40000

28

30000

40000

29

30000

40000

30

30000

40000

NPV at 10%

$58,915.85

$32,895.67

As the NPV of Plan A is higher it is more beneficial.

Years

Cashflow (factored in net income)

Discounted cashflow = Cashflow / 1.1^n

Cumulative Cashflow = Discounted cumulative cashflow in previous year + discounted cashflow in current year

0

-218000

-218000

-218000

1

63000

57273

-160727

2

63000

52066

-108661

3

63000

47333

-61328

4

63000

43030

-18298

5

63000

39118

20820

Payback period = 4 + (39118-20820) / 39118

4.468

Years

Cashflow (paid by renter)

Discounted cashflow = Cashflow / 1.1^n

Cumulative Cashflow = Discounted cumulative cashflow in previous year + discounted cashflow in current year

0

-218000

-218000

-218000

1

75000

68182

-149818

2

75000

61983

-87835

3

75000

56349

-31486

4

75000

51226

19740

5

75000

46569

66309

Payback period = 3 + (51226-19740) / 51226

3.615

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