Question
Pina Inc. owns and operates a number of hardware stores in the New England region. Recently, the company has decided to locate another store in
Pina 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 $1,857,100. An immediate down payment of $404,100 is required, and the remaining $1,453,000 would be paid off over 5 years at $356,900 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 $505,800. 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) | $40,990 | |
Insurance (to be paid at the beginning of each year) | 27,040 | |
Other (primarily maintenance which occurs at the end of each year) | 17,590 | |
$85,620 |
Lease: First National Bank has agreed to purchase the site, construct the building, and install the appropriate fixtures for Pina Inc. if Pina will lease the completed facility for 11 years. The annual costs for the lease would be $292,510. Pina would have no responsibility related to the facility over the 11 years. The terms of the lease are that Pina 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 $91,100 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. Click here to view factor tables Compute the present value of lease vs purchase. (Currently, the cost of funds for Pina Inc. is 10%.) (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)
Lease Purchase Present value Which of the two approaches should Pina Inc. follow? Pina Inc. should the facilities 8% 9% 10% 11% 12% 15% (n) Periods 1.08000 1.09000 1.10000 1.11000 1,12000 1.15000 1 1.18810 1.25440 1.16640 1.21000 1.23210 1,32250 2 1.29503 1.25971 1.33100 1.36763 1.40493 1.52088 3 1.46410 4 1.36049 1.41158 1.51807 1.57352 1.74901 1.46933 1,53862 1.61051 1.68506 1.76234 2,01136 5 2.31306 1.58687 1.67710 1.77156 1.87041 1.97382 1.71382 1.82804 1.94872 2.07616 2.21068 2.66002 1.85093 1.99256 2.14359 2.30454 2,47596 3.05902 8 1.99900 2.17189 2.35795 2,55803 2.77308 3.51788 9 2.15892 2.36736 2.59374 2.83942 3.10585 4.04556 10 2.33164 2.58043 2,85312 3.15176 3.47855 4.65239 11 3.49845 3.89598 2.51817 2,81267 3.13843 5.35025 12 2.71962 3.06581 3.45227 3.88328 4.36349 6.15279 13 2.93719 3.34173 3.79750 4.31044 4.88711 7.07571 14 3.17217 3.64248 4.17725 4.78459 5.47357 8.13706 15 3.42594 3.97031 4.59497 5.31089 6.13039 9.35762 16 4.32763 10.76126 3.70002 5.05447 5.89509 6.86604 17 st 8% 9% 10% 11% 12% 15% (n) Periods 92593 .91743 .90909 .90090 .89286 86957 1 85734 84168 .82645 .81162 .79719 75614 79383 .77218 .75132 73119 .71178 .65752 3 4 73503 .70843 .68301 .65873 .63552 57175 68058 .64993 .62092 .59345 56743 .49718 5 6 63017 .59627 .56447 .53464 .50663 .43233 58349 .54703 513164816645235 37594 7 .54027 .50187 .4665143393 40388 32690 50025 .46043 .42410 .39092 .36061 .28426 4631942241 38554 .35218 .32197 .24719 10 42888 38753 .35049 .31728 .28748 .21494 11 39711 35554 .31863 .28584 .25668 18691 12 36770 .32618 28966 .25751 22917 16253 13 34046 .29925 .26333 .23199 .20462 14133 14 31524 27454 .23939 .20900 .18270 12289 15 29189 .25187 .21763 18829 16312 10687 16 27027 .23107 .19785 16963 .14564 .09293 17 (n) Periods 8% 9% 10% 11% 12% 15% 92593 91743 90909 90090 89286 86957 1.62571 1.78326 1.75911 1.73554 1.71252 1.69005 2 2.57710 2.53130 2.48685 2,44371 2.40183 2.28323 3.03735 4 3.31213 3.23972 3.16986 3.10245 2,85498 3.79079 3.35216 5 3.99271 3.88965 3.69590 3.60478 4,62288 4.48592 4.35526 4.23054 4.11141 3.78448 6 4.16042 5.20637 5.03295 4,86842 4.71220 4.56376 7 5.74664 5.53482 5.33493 5.14612 4,96764 4.48732 6.24689 5.32825 5.99525 5.75902 5.53705 4,77158 5.01877 6.71008 6.41766 6.14457 5.88923 5.65022 10 6.80519 7.13896 6.49506 6.20652 5.93770 5.23371 11 6.81369 5.42062 7.53608 7.16073 6.49236 6.19437 12 7.90378 7.48690 7.10336 6.74987 6.42355 5.58315 13 7.36669 5.72448 8.24424 7.78615 6.98187 6.62817 14 8.55948 8.06069 7.60608 7.19087 6.81086 5.84737 15 7.82371 8.85137 8.31256 7.37916 6.97399 5.95424 16 7.11963 9.12164 8.54363 8.02155 7.54879 6.04716 17 st
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