Anna has access to a perfect capital market with interest rate r = 0.15 (i.e. 15%) per period. She also has the opportunity to purchase a private asset for price P. If she purchases the asset, she will be able to invest any amount z ≥ 0 in this private asset. If Anna invests z≥0 now, the asset will return R(z) = 80.5 √√2 next period. What is the largest amount P that Anna would be willing to pay for the private asset? [Hint: What is the net present value, NPV (z), of the private investment opportunity? What is the optimal investment z* that maximizes NPV (2).]

Personal Finance
13th Edition
ISBN:9781337669214
Author:GARMAN
Publisher:GARMAN
Chapter16: Real Estate And High-risk Investments
Section: Chapter Questions
Problem 1FPC
icon
Related questions
icon
Concept explainers
Question
Exercise 1: Optimal Safe Investment
Anna has access to a perfect capital market with interest rate r = 0.15 (i.e. 15%) per period.
She also has the opportunity to purchase a private asset for price P. If she purchases the asset, she will
be able to invest any amount z > 0 in this private asset. If Anna invests z > 0 now, the asset will return
R(z) = 80.5 · vz
next period.
What is the largest amount P that Anna would be willing to pay for the private asset?
[Hint: What is the net present value, N PV (z), of the private investment opportunity? What is the optimal
investment z* that maximizes NPV(z).]
Transcribed Image Text:Exercise 1: Optimal Safe Investment Anna has access to a perfect capital market with interest rate r = 0.15 (i.e. 15%) per period. She also has the opportunity to purchase a private asset for price P. If she purchases the asset, she will be able to invest any amount z > 0 in this private asset. If Anna invests z > 0 now, the asset will return R(z) = 80.5 · vz next period. What is the largest amount P that Anna would be willing to pay for the private asset? [Hint: What is the net present value, N PV (z), of the private investment opportunity? What is the optimal investment z* that maximizes NPV(z).]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Cost of Capital
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
Personal Finance
Personal Finance
Finance
ISBN:
9781337669214
Author:
GARMAN
Publisher:
Cengage
PFIN (with PFIN Online, 1 term (6 months) Printed…
PFIN (with PFIN Online, 1 term (6 months) Printed…
Finance
ISBN:
9781337117005
Author:
Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:
Cengage Learning