he state of Glottamora has $300 million remaining in its budget for the current year. One alternative is to give Glottamorans a one-time tax rebate. Alternatively, two proposals have been made for state expenditures of these funds. The first proposed project is to invest in a new power plant, costing $300 million and having an expected useful life of 20 years. Projected benefits of the new power plant are as follows: Years Benefits per Year ($ Millions) 1 - 5 0 6 - 20 60 The second alternative is to undertake a job retraining program, also costing $100 million and generating the following benefits: Years Benefits per Year ($ Millions) 1 - 5 60 6 - 10 42 11 - 20 12 The state Power Department argues that a 5 percent discount factor should be used in evaluating the projects because that is the government’s borrowing rate. The Human Resources Department suggests using a 12 percent rate because that more nearly equals society’s true opportunity rate. The present value interest factor at the end of years from 0 - 20 for the two discount rates are given in the following table. Discount Rates 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5% 1.000 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 12% 1.000 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 Evaluate the projects using both the 5 percent and the 12 percent rates. Project Net Benefits at Discount Rate = 5% Net Benefits at Discount Rate = 12% ($ Millions) ($ Millions) Power Plant Job Retraining Program If you agree with the Power Department that the government’s borrowing rate is the appropriate discount rate, which project will you choose?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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The state of Glottamora has $300 million remaining in its budget for the current year. One alternative is to give Glottamorans a one-time tax rebate. Alternatively, two proposals have been made for state expenditures of these funds. The first proposed project is to invest in a new power plant, costing $300 million and having an expected useful life of 20 years. Projected benefits of the new power plant are as follows:

Years	Benefits per Year
($ Millions)
1 - 5	0
6 - 20	60

The second alternative is to undertake a job retraining program, also costing $100 million and generating the following benefits:

Years	Benefits per Year
($ Millions)
1 - 5	60
6 - 10	42
11 - 20	12

The state Power Department argues that a 5 percent discount factor should be used in evaluating the projects because that is the government’s borrowing rate. The Human Resources Department suggests using a 12 percent rate because that more nearly equals society’s true opportunity rate. The present value interest factor at the end of years from 0 - 20 for the two discount rates are given in the following table.

Discount Rates	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
5%	1.000	0.952	0.907	0.864	0.823	0.784	0.746	0.711	0.677	0.645	0.614	0.585	0.557	0.530	0.505	0.481	0.458	0.436	0.416	0.396	0.377
12%	1.000	0.893	0.797	0.712	0.636	0.567	0.507	0.452	0.404	0.361	0.322	0.287	0.257	0.229	0.205	0.183	0.163	0.146	0.130	0.116	0.104

Evaluate the projects using both the 5 percent and the 12 percent rates.

Project	Net Benefits at Discount Rate = 5%	Net Benefits at Discount Rate = 12%
($ Millions)	($ Millions)
Power Plant
Job Retraining Program

If you agree with the Power Department that the government’s borrowing rate is the appropriate discount rate, which project will you choose?

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