Compute the net present value of each proposal. You may need the following partial table of factors for present value of an annuity of $1. Enter amounts that represent cash outflows as negative numbers using a minus sign. Round the present value of annual net cash flows to the nearest dollar. Present Value of an Annuity of $1 at Compound Interest (Partial Table) Year 10% 20% 1 0.909 0.833 5 3.791 2.991 10 6.145 4.192     Alpha Beta Gamma Annual net cash flow       Present value factor       Present value of annual net cash flows       Amount to be invested       Net present value

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter7: Allocating Costs Of Support Departments And Joint Products
Section: Chapter Questions
Problem 17E
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HomeGrown Company is a chain of grocery stores that are similar to indoor farmer's markets, providing fresh, local produce, meats, and dairy products to consumers in urban areas. HomeGrown is considering opening several stores in a new city, and has proposals from three contractors (Alpha, Beta, and Gamma companies) who would like to provide buildings for the new stores.
The amount of expected revenue from the stores will depend on the design of the contractor. For example, if HomeGrown decides on a more open floor plan, with less shelf space for products, revenue would be lower overall. However, if HomeGrown decides on a very crowded floor plan, it may lose customers who appreciate a more open feel.
As the project manager for HomeGrown, you are responsible for deciding which if any of the proposals to accept. HomeGrown's minimum acceptable rate of return is 20%. You receive the following data from the three contractors:
Proposal
Type of Floor Plan
Initial Cost if Selected
Residual Value
Alpha Very open, like an indoor farmer’s market $1,472,000 $0.00
Beta Standard grocery shelving and layout, minimal aisle space 5,678,900 0.00
Gamma Mix of open areas and shelving areas 2,325,760 0.00
 
You have computed estimates of annual cash flows and average annual income from customers for each of the three contractors' plans. You believe that the annual cash flows will be equal for each of the 10 years for which you are preparing your capital investment analysis. Your conclusions are presented in the following table.
Proposal
Estimated Average
 
Annual Income
Estimated Average
(after depreciation)
Annual Cash Flow
Alpha $324,134 $351,145
Beta 286,217 461,411
Gamma 582,719 648,654

1.

Compute the net present value of each proposal. You may need the following partial table of factors for present value of an annuity of $1. Enter amounts that represent cash outflows as negative numbers using a minus sign. Round the present value of annual net cash flows to the nearest dollar.
Present Value of an Annuity of $1 at Compound Interest (Partial Table)
Year 10% 20%
1 0.909 0.833
5 3.791 2.991
10 6.145 4.192
 
  Alpha Beta Gamma
Annual net cash flow
 
 
 
Present value factor
 
 
 
Present value of annual net cash flows
 
 
 
Amount to be invested
 
 
 
Net present value
 
 
 
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