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ANSWER Chapter 12, Problem 3 and show work. Chapter 11 Problem 7 California Health Center, a for-profit hospital, is evaluating the purchase of new diagnostic

ANSWER Chapter 12, Problem 3 and show work.

Chapter 11 Problem 7

California Health Center, a for-profit hospital, is evaluating the purchase of new diagnostic equipment. The equipment, which costs $600,000, has an expected life of five years and an estimated pretax salvage value of $200,000 at that time. The equipment is expected to be used 15 times a day for 250 days a year for each year of the project's life. On average, each procedure is expected to generate $80 in collections, which is net of bad debt losses and contractual allowances, in its first year of use. Thus, net revenues for Year 1 are estimated at 15 X 250 X $80 = $300,000.

Labor and maintenance costs are expected to be $100,000 during the first year of operation, while utilities will cost another $10,000 and cash overhead will increase by $5,000 in Year 1. The cost for expendable supplies is expected to average $5 per procedure during the first year. All costs and revenues, except depreciation, are expected to increase at a 5 percent inflation rate after the first year.

The equipment falls into the MACRS five-year class for tax depreciation and hence is subject to the following depreciation allowances:

Year

Allowance

1

0.2

2

0.32

3

0.19

4

0.12

5

0.11

6

0.06

The hospital's tax rate is 40 percent, and its corporate cost of capital is 10 percent.

a. Estimate the project's net cash flows over its five-year estimated life.

b. What are the project's NPV and IRR? (Assume that the project has average risk.)

(Hint: Use the following format as a guide.)

Answer A:

Cost of Cap

10%

Year

0

1

2

3

4

5

MACRS

20%

32%

19.20%

11.52%

11.52%

Equip Cost

-600,000

Salvage

200,000

Net Rev.

300,000

315,000

330,750

347,288

364,652

Less Maint.

-100,000

-105,000

-110,250

-115,763

-121,551

Less Utilities

-10,000

-10,500

-11,025

-11,576

-12,155

Less Cash OH

-5,000

-5,250

-5,513

-5,788

-6,078

Less Supplies

-18,750

-19,688

-20,672

-21,705

-22,791

Dep MCARS

-80,000

-128,000

-76,800

-46,080

-46,080

Op Income

86,250

46,563

106,491

146,375

355,998

Less Tax

-34,000

-18,625

-42,596

-58,550

-142,399

Net Op Inc.

51,750

27,938

63,894

87,825

213,599

Add- Dep

80,000

128,000

76,800

46,080

46,080

Net Cash Flow

-600,000

131,750

155,938

140,694

133,905

259,679

NPV:

7,051.51

IRR

10.42

Answer B:

NPV: 7051.51

IRR: 10.42 %

Chapter 12 Problem 3

Consider the project contained in Problem 7 in Chapter 11 (California Health Center).

a. Perform a sensitivity analysis to see how NPV is affected by changes in the number of procedures per day, average collection amount, and salvage value. Remember supplies vary with number of procedures.

b. Conduct a scenario analysis. Suppose that the hospital's staff concluded that the three most uncertain variables were number of procedures per day, average collection amount, and the equipment's salvage value. Furthermore, the following data were developed:

Equipment

Number of

Average

Salvage

Scenario

Probability

Procedures

Collection

Value

Worst

0.25

10

$60

$100,000

Most likely

0.50

15

$80

$200,000

Best

0.25

20

$100

$300,000

c. Finally, assume that California Health Center's average project has a coefficient of variation of NPV in the range of 1.0 - 2.0. (Hint: Coefficient of variation is defined as the standard deviation of NPV divided by the expected NPV.) The hospital adjusts for risk by adding or subtracting 3 percentage points to its 10 percent corporate cost of capital. After adjusting for differential risk, is the project still profitable?

d. What type of risk was measured and accounted for in Parts b. and c.? Should this be of concern to the hospital's managers?

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