You can invest in a risk-free technology that requires an upfront payment of $1.04 million and will provide a perpetual annual cash flow of $80,000. Suppose all interest rates will be either 9.7% or 5.3% in one year and remain there forever. The risk-neutral probability that interest rates will drop to 5.3% is 91%. The one-year risk-free interest rate is 7.8%, and today's rate on a risk-free perpetual bond is 5.1%. The rate on an equivalent perpetual bond that is repayable at any time (the callable annuity rate) is 8.6%. a. What is the NPV of investing today? b. What is the NPV of waiting and investing tomorrow? c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
icon
Concept explainers
Topic Video
Question
K
You can invest in a risk-free technology that requires an upfront payment of $1.04 million and will provide a perpetual
annual cash flow of $80,000. Suppose all interest rates will be either 9.7% or 5.3% in one year and remain there
forever. The risk-neutral probability that interest rates will drop to 5.3% is 91%. The one-year risk-free interest rate is
7.8%, and today's rate on a risk-free perpetual bond is 5.1%. The rate on an equivalent perpetual bond that is
repayable at any time (the callable annuity rate) is 8.6%.
a. What is the NPV of investing today?
b. What is the NPV of waiting and investing tomorrow?
c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case.
Transcribed Image Text:K You can invest in a risk-free technology that requires an upfront payment of $1.04 million and will provide a perpetual annual cash flow of $80,000. Suppose all interest rates will be either 9.7% or 5.3% in one year and remain there forever. The risk-neutral probability that interest rates will drop to 5.3% is 91%. The one-year risk-free interest rate is 7.8%, and today's rate on a risk-free perpetual bond is 5.1%. The rate on an equivalent perpetual bond that is repayable at any time (the callable annuity rate) is 8.6%. a. What is the NPV of investing today? b. What is the NPV of waiting and investing tomorrow? c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case.
a. What is the NPV of investing today?
The NPV is $428,235.29. (Round to the nearest dollar.)
b. What is the NPV of waiting and investing tomorrow?
The NPV if the rate goes up is $0. (Round to the nearest dollar.)
The NPV if the rate goes down is $ 563,404.25. (Round to the nearest dollar.)
The PV is $444,242. (Round to the nearest dollar.)
c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case.
The hurdle rule is $249,887.64. (Round to the nearest dollar.)
(Select from the drop-down menu.)
The NPV <0, so wait
Transcribed Image Text:a. What is the NPV of investing today? The NPV is $428,235.29. (Round to the nearest dollar.) b. What is the NPV of waiting and investing tomorrow? The NPV if the rate goes up is $0. (Round to the nearest dollar.) The NPV if the rate goes down is $ 563,404.25. (Round to the nearest dollar.) The PV is $444,242. (Round to the nearest dollar.) c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case. The hurdle rule is $249,887.64. (Round to the nearest dollar.) (Select from the drop-down menu.) The NPV <0, so wait
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Capital Budgeting
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education