The Western Railway Company (WRC) has been offered a 100-year contract to haul a fixed amount of coal each year from Wyoming to Illinois. Under the terms of the agreement, WRC will receive $4,200,000 now in exchange for its hauling services valued at $360,000 at the end-of-year one (EOY 1), $375,000 at EOY 2 and continuing to grow by $15,000 per year through EOY 100. If the WRC's cost of capital is 12% per year, is this a profitable agreement for WRC? Present Value of a growing annuity - (1 − 1(1 + g)¯n\ PV = C

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 3P
icon
Related questions
Question
100%

is this right can u check.

 

show work in word

The Western Railway Company (WRC) has been offered a 100-year contract to haul a fixed amount of
coal each year from Wyoming to Illinois. Under the terms of the agreement, WRC will receive
$4,200,000 now in exchange for its hauling services valued at $360,000 at the end-of-year one (EOY 1),
$375,000 at EOY 2 and continuing to grow by $15,000 per year through EOY 100. If the WRC's cost of
capital is 12% per year, is this a profitable agreement for WRC?
Present Value of a growing annuity
PV = C
PV
= 360,000
-
− 1(1 + g)¯`
r-g
- (1+0.12)-
-100'
-
0.12 0.00015
= $19,942,704.00
PV is > than Initial Payment so the agreement is profitable.
Transcribed Image Text:The Western Railway Company (WRC) has been offered a 100-year contract to haul a fixed amount of coal each year from Wyoming to Illinois. Under the terms of the agreement, WRC will receive $4,200,000 now in exchange for its hauling services valued at $360,000 at the end-of-year one (EOY 1), $375,000 at EOY 2 and continuing to grow by $15,000 per year through EOY 100. If the WRC's cost of capital is 12% per year, is this a profitable agreement for WRC? Present Value of a growing annuity PV = C PV = 360,000 - − 1(1 + g)¯` r-g - (1+0.12)- -100' - 0.12 0.00015 = $19,942,704.00 PV is > than Initial Payment so the agreement is profitable.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
SWFT Comprehensive Volume 2019
SWFT Comprehensive Volume 2019
Accounting
ISBN:
9780357233306
Author:
Maloney
Publisher:
Cengage
SWFT Comprehensive Vol 2020
SWFT Comprehensive Vol 2020
Accounting
ISBN:
9780357391723
Author:
Maloney
Publisher:
Cengage
Principles of Accounting Volume 2
Principles of Accounting Volume 2
Accounting
ISBN:
9781947172609
Author:
OpenStax
Publisher:
OpenStax College
Intermediate Accounting: Reporting And Analysis
Intermediate Accounting: Reporting And Analysis
Accounting
ISBN:
9781337788281
Author:
James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:
Cengage Learning
Principles of Accounting Volume 1
Principles of Accounting Volume 1
Accounting
ISBN:
9781947172685
Author:
OpenStax
Publisher:
OpenStax College