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Problem 6-10 Your answer is partially correct. Try again. Skysong Inc. owns and

ID: 2621284 • Letter: P

Question

Problem 6-10 Your answer is partially correct. Try again. Skysong Inc. owns and operates a number of hardware stores in the New England region. Recently, the company has decided to locate another store in a rapidly growing area of Maryland. The company is trying to decide whether to purchase or lease the building and related facilities. Purchase: The company can purchase the site, construct the building, and purchase all store fixtures. The cost would be $1,854,800. An immediate down payment of $417,900 is required, and the remaining $1,436,900 would be paid off over 5 years at $353,000 per year (including interest payments made at end of year). The property is expected to have a useful life of 11 years, and then it will be sold for $510,500. As the owner of the property, the company will have the following out-of-pocket expenses each period Property taxes (to be paid at the end of each year) Insurance (to be paid at the beginning of each year) Other (primarily maintenance which occurs at the end of each year) $41,000 26,900 16,530 $84,430 Lease: First National Bank has agreed to purchase the site, construct the building, and install the appropriate fixtures for Skysong Inc. if Skysong will lease the completed facility for 11 years. The annual costs for the lease would be $277,440. Skysong would have no responsibility related to the facility over the 11 years. The terms of the lease are that Skysong would be required to make 11 annual payments (the first payment to be made at the time the store opens and then each following year). In addition, a deposit of $92,200 is required when the store is opened. This deposit will be returned at the end of the 11th year, assuming no unusual damage to the building structure or fixtures fa table Compute the present value of lease vs purchase. (Currently, the cost of funds for Skysong Inc. is 10%.) (Round factor values to 5 decimal places, e.g. 1.25124 and final anwer to 0 decimal places, e.g. 458,581.)

Explanation / Answer

Present Value of purchase:

Year

Cash Flow

Net Cash Flow

Present Value Factor @10%

Present Value

0

417,900+26900

444,800

1

444,800

1

353,000+41,000+26,900+16530

437,430

0.90909

397,663

2

353,000+41,000+26,900+16530

437,430

0.82645

361,514

3

353,000+41,000+26,900+16530

437,430

0.75131

328,646

4

353,000+41,000+26,900+16530

437,430

0.68301

298,769

5

353,000+41,000+26,900+16530

437,430

0.62092

271,609

6

41,000+26,900+16530

84,430

0.56447

47,658

7

41,000+26,900+16530

84,430

0.51316

43,326

8

41,000+26,900+16530

84,430

0.46550

39,302

9

41,000+26,900+16530

84,430

0.42409

35,806

10

41,000+26,900+16530

84,430

0.38554

32,551

11

41,000+16530-510,500

(452,970)

0.35049

(158,761)

NPV

2142,883

Hence, Lease is better.

Year

Cash Flow

Net Cash Flow

Present Value Factor @10%

Present Value

0

417,900+26900

444,800

1

444,800

1

353,000+41,000+26,900+16530

437,430

0.90909

397,663

2

353,000+41,000+26,900+16530

437,430

0.82645

361,514

3

353,000+41,000+26,900+16530

437,430

0.75131

328,646

4

353,000+41,000+26,900+16530

437,430

0.68301

298,769

5

353,000+41,000+26,900+16530

437,430

0.62092

271,609

6

41,000+26,900+16530

84,430

0.56447

47,658

7

41,000+26,900+16530

84,430

0.51316

43,326

8

41,000+26,900+16530

84,430

0.46550

39,302

9

41,000+26,900+16530

84,430

0.42409

35,806

10

41,000+26,900+16530

84,430

0.38554

32,551

11

41,000+16530-510,500

(452,970)

0.35049

(158,761)

NPV

2142,883