Solving for Unknowns

Follow the format shown in Exhibit 12B-1 and Exhibit 12B-2 as you complete the requirements below.

Each of the following scenarios are independent. Assume that all cash flows are after-tax cash flows.

a. Thomas Company is investing $120,000 in a project that will yield a uniform series of cash inflows over the next 4 years.

b. Video Repair has decided to invest in some new electronic equipment. The equipment will have a 3-year life and will produce a uniform series of cash savings. The NPV of the equipment is $1,750, using a discount rate of 8%. The IRR is 12%.

c. A new lathe costing $60,096 will produce savings of $12,000 per year.

d. The NPV of a project is $3,927. The project has a life of 4 years and produces the following cash flows:

Year 1	$10,000
Year 2	$12,000
Year 3	$15,000
Year 4	?

The cost of the project is two times the cash flow produced in Year 4. The discount rate is 10%.

Required:

Round your answers to the nearest dollar.

1. If the internal rate of return is 14% for Thomas Company, how much cash inflow per year can be expected? $__________ per year

2. Determine the investment and the amount of cash savings realized each year for Video Repair.

Savings each year $_________
Original investment $_________

3. For Scenario c, how many years must the lathe last if an IRR of 18% is realized? _________years

4. For Scenario d, find the cost of the project and the cash flow for Year 4.

Cost of the project $_________
Cash flow for year 4 $_________

Exhibit 12B.2 Present Value of an Annuity* 6 9% 10% 12% 14% 16% 18% 20% 25% 30% 2 1.97040 1.94156 1.91347 1.88609 1.85941 1.83339 1.80802 1.78326 1.759111.73554 1.69005 1.64666 1.60523 1.56564 1.52778 1.44000 1.36095 94099 2.88388 2.82861 2.77509 2.72325 2.67301 2.62432 2.57710 2.53129 2.48685 2.40183 2.32163 2.2458 5 4.85343 4.71346 4.57971 4.45182 4.32948 4.21236 4.10020 3.99271 3.88965 3.79079 3.60478 3.43308 3.27429 3.12717 2.99061 2.68928 2.43557 6 5.79548 5.60143 5.41719 5.24214 5.07569 4.91732 4.76654 4.62288 4.48592 4.35526 4.11141 3.88867 3.68474 3.49760 3.32551 2.95142 2.64275 76.72819 6.47199 6.23028 6.00205 5.78637 5.58238 5.38929 5.20637 5.03295 4.86842 4.56376 4.28830 4.03857 3.81153 3.60459 3.16114 2.80211 8 7.65168 7.32548 7.01969 6.73274 6.46321 6.20979 5.97130 5.74664 5.53482 5.33493 4.96764 4.63886 4.34359 4.077573.83716 3.32891 2.92470 56602 8.16224 7.78611 7.43533 7.10782 6.80169 6.51523 6.24689 32825 4.94637 4.60654 4.30302 4.03097 3.4631 3.01 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 5.93770 5.45273 5.02864 4.65601 4.32706 3.65640 3.14734 79322 4.43922 3.72512 3.19026 98565 9.39357 8.85268 8.35765 7.90378 7.48690 7.10336 6.42355 5.84236 5.34233 4.90951 4.53268 3.78010 3.22328 19711 12 11.25508 10.57534 9.95400 9.38507 8.86325 8.38384 7.9426 13 12.13374 11.34837 10.6349 15 13.86505 12.84926 11.93794 11.11839 10.37 16 14.71787 13.57771 12.56110 11.65230 10.83777 10.10590 9.44665 8.85137 8.31256 7.82371 6.97399 6.26506 5.66850 5.16235 4.72956 3.88741 3.28324 17 15.56225 14.29187 13.16612 12.16567 11.27407 10.47726 9.76322 9.12164 8.54363 8.02155 7.11963 6.37286 5.74870 5.22233 4.77463 3.90993 3.2948 141 19 17.22601 15.67846 14.32380 13.13394 12.08532 11.15812 10.33560 9.60360 8.95011 8.36492 7.36578 6.55037 20 18.04555 16.35143 14.87747 13.59033 12.46221 11.46992 10.59401 21 18.85698 17.01121 15.41502 14.02916 12.82115 11.76408 10.83553 10.01680 9.29224 8.64869 7.56200 6.68696 5.97314 5.38368 4.89132 3.96311 3.31984 4 5.93692 14.45112 13.16300 12.04158 11.06124 10.20074 944243 8.77154 7.6446 23 20.45582 18.29220 16.44361 14.85684 13.48857 12.30338 11.27219 10.37106 9.58021 8.88322 7.718 92453 3.97639 3.32535 514 62208 14.09394 12.78336 11.65358 10.67478 9.82258 9.07704 26 22.79520 20.12104 17.87684 15.98277 14.37519 13.00317 11.82578 10.80 27 23.55961 20.70690 18.32703 16.32959 14.64303 13.21053 11.98671 10.93516 10.02658 9.23722 7.94255 28 24.31644 21.28127 18.76411 16.66306 14.89813 13.40616 12.13711 11.05108 10.11 29 25.06579 21.84438 19.18845 16.98371 15.14107 13.59072 12.27767 11.15841 10.19828 9.36961 8.0218 30 25.80771 22.39646 19.60044 17.29203 15.37245 13.76483 12.40904 11.25778 10.27365 9.42691 8.05518 7.00266 6.17720 5.51681 4.97894 3.99505 3.33206 8304 6.16555 5.50983 4.97472 3.99381