The contract of a new public-private partnership (PPF project has been signed to lease a building at P20,000 per year with an annual increase of P1,500 for 8 years. Payments are to be made at the end of each year, starting one year from now. The prevailing interest rate of money is 7%. What lump sum paid today would be equivalent to the 8-year lease

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
2. Please use the formula provided to answer the solution
Legend:
Cc - Capitalized Cost (Currency)
Fc - First Cost (Currency)
Mc - maintenance Cost (Currency)
Rc - Replacement Cost (Currency); if no Re: Re Fe
Sy- Salvage Value (Curency); if no Sy: Sy = 0
A - Periodic Amount (Currency)
F-Future Value (Currency)
G - Periodic Amount Increment Amount (Currency)
P - Present Value (Currency)
g - Periodic Amount Increment Rate (Persentage)
i-Nominal Interest Rate (Percent)
m - Number of Periods per Year (Number)
r - Effective Interest Rate (Percent)
t-Number of Years (Number)
Formulae:
Perpetuity (t=00):
Compounding Transformation (i, (m₂)→ 1₂ (m₂)): (1 + ) = (1 +)**
Arithmetic Gradient:
Ordinary Annuity (Payment at End of Period):
P=A1-(1+1)-²)
Geometric Gradient:
Capitalized Cost:
n = mt
r=-
F=A
Annuity Due (Payment at Beginning of Period):
m
F = P(1+r)"
P = F(1+r)-R
F=A
F=
= A ((1+r)^²-1)
P=A (1-(1+r)^)(1+r)
= A (¹ + r)² - 1) (1 + r)
T
FA[(1+r)-1]G[-nr + (1+r)" - 1]
T
r2
A[(1+r)"-(1+g)"]
T-9
Re-Sy
Cc=Fc++ (1+r)"-1
A = Cer
Transcribed Image Text:Legend: Cc - Capitalized Cost (Currency) Fc - First Cost (Currency) Mc - maintenance Cost (Currency) Rc - Replacement Cost (Currency); if no Re: Re Fe Sy- Salvage Value (Curency); if no Sy: Sy = 0 A - Periodic Amount (Currency) F-Future Value (Currency) G - Periodic Amount Increment Amount (Currency) P - Present Value (Currency) g - Periodic Amount Increment Rate (Persentage) i-Nominal Interest Rate (Percent) m - Number of Periods per Year (Number) r - Effective Interest Rate (Percent) t-Number of Years (Number) Formulae: Perpetuity (t=00): Compounding Transformation (i, (m₂)→ 1₂ (m₂)): (1 + ) = (1 +)** Arithmetic Gradient: Ordinary Annuity (Payment at End of Period): P=A1-(1+1)-²) Geometric Gradient: Capitalized Cost: n = mt r=- F=A Annuity Due (Payment at Beginning of Period): m F = P(1+r)" P = F(1+r)-R F=A F= = A ((1+r)^²-1) P=A (1-(1+r)^)(1+r) = A (¹ + r)² - 1) (1 + r) T FA[(1+r)-1]G[-nr + (1+r)" - 1] T r2 A[(1+r)"-(1+g)"] T-9 Re-Sy Cc=Fc++ (1+r)"-1 A = Cer
The contract of a new public-private partnership (PPP)
project has been signed to lease a building at P20,000
per year with an annual increase of P1,500 for 8
years. Payments are to be made at the end of each
year, starting one year from now. The prevailing
interest rate of money is 7%. What lump sum paid
today would be equivalent to the 8-year lease
payment plan of the PPP project?
Add your answer
Transcribed Image Text:The contract of a new public-private partnership (PPP) project has been signed to lease a building at P20,000 per year with an annual increase of P1,500 for 8 years. Payments are to be made at the end of each year, starting one year from now. The prevailing interest rate of money is 7%. What lump sum paid today would be equivalent to the 8-year lease payment plan of the PPP project? Add your answer
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Development
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education