A project has an upfront cost (1-0) of $10,000, and it produces annual FCF of $3,000/year from 1-1 through t-7 (seven years). As you can calculate, the net present value of this project, as a stand alone project, without considering inflation, and using a discount rate of 10.0 percent, is $4.605.26. The firm intends to replicate this project out to infinity every seven years, and expects annual inflation to be 4.0 percent for the cash outflows, and 3.0 percent for the cash inflows. That is, the expected cost in Year 7 of replicating this project will be ($10,000) (1.04) = $13.159.32, and the expected cash inflow in Year 1 will be ($3.000) (1.03)¹ = $3.090, in Year 2 will be ($3,000) (1.03)2 = $3,182.70, etc. Given this information, and assuming the discount rate remains the same, determin the net present value of this project if it is infinitely replicated and inflation is taken into

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
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A project has an upfront cost (1-0) of $10,000, and it produces annual FCF of $3,000/year from 1-1
through t-7 (seven years). As you can calculate, the net present value of this project, as a stand
alone project, without considering inflation, and using a discount rate of 10.0 percent, is $4.605.26.
The firm intends to replicate this project out to infinity every seven years, and expects annual
inflation to be 4.0 percent for the cash outflows, and 3.0 percent for the cash inflows. That is, the
expected cost in Year 7 of replicating this project will be ($10,000) (104) = $13.159.32, and the
expected cash inflow in Year 1 will be ($3.000) (1.03)¹ = $3.090. in Year 2 will be ($3.000) (1.03)²
$3,182.70, etc. Given this information, and assuming the discount rate remains the same, determine
the net present value of this project if it is infinitely replicated and inflation is taken into
consideration.
$11.315
O $15.804
$9,626
O $8.206
=
Transcribed Image Text:A project has an upfront cost (1-0) of $10,000, and it produces annual FCF of $3,000/year from 1-1 through t-7 (seven years). As you can calculate, the net present value of this project, as a stand alone project, without considering inflation, and using a discount rate of 10.0 percent, is $4.605.26. The firm intends to replicate this project out to infinity every seven years, and expects annual inflation to be 4.0 percent for the cash outflows, and 3.0 percent for the cash inflows. That is, the expected cost in Year 7 of replicating this project will be ($10,000) (104) = $13.159.32, and the expected cash inflow in Year 1 will be ($3.000) (1.03)¹ = $3.090. in Year 2 will be ($3.000) (1.03)² $3,182.70, etc. Given this information, and assuming the discount rate remains the same, determine the net present value of this project if it is infinitely replicated and inflation is taken into consideration. $11.315 O $15.804 $9,626 O $8.206 =
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