Finance Final Exam
description
Transcript of Finance Final Exam
Coursera Wharton Foundation Series
Introduction to Corporate Finance – Professor Franklin Allen
Final Exam
1. Please use the information below to answer questions 1 through 4. There are two periods of
time, t0 and t1. Michael has a wealth of $100 million. Michael has three potential investment
opportunities. The first investment opportunity is building a shopping center; the cost is $60
million at t0 and pays off $72 million at t1. The second investment opportunity is building a
parking garage, which would cost $40 million at t0 and pays off $55 million at t1. The third
project is building a club for $5 million at t0 which pays off $15 million at t1. The local bank lets
Michael lend and borrow at the same rate, which is 15% per period. Michael does not value
future consumption, and instead only cares about consumption today at t0. He does not value
consumption at t1 at all. Please give your answers in $ millions, to two decimal places. For
example, if the answer is $53.247 million, please input 53.25.
What is the NPV of the project which has the highest NPV?
2. What is the most that Michael can consume at t0?
3. Suppose the three projects were mutually exclusive. What is the most Michael can consume at
t0?
4. The bank has now decided to charge Michael 20% when he wants to borrow, but he can only
lend to the bank at 10%. What is the most that Michael can consume at t0, given this new
condition? Do not assume for Question 4 that the projects are mutually exclusive.
5. Please use the information below to answer questions 5 through 8. Rahul is considering three
projects which have the following cash flows.
C0 C1 C2 C3
A -5000 2500 1500 2100
B -700 450 300 400
C -400 100 150 200
What is the IRR of project A?
6. What is the IRR of project B?
7. If the discount rate is 6%, would Rahul choose to do project C?
8. Suppose all three projects are mutually exclusive. What is the highest opportunity cost of
capital for which Rahul would choose project A?
9. Please use the information below to answer questions 9 through 16. Michelle is a manager at
the Industrial Production Company. She is evaluating a project to build a factory that makes
refrigerators. Today is date 0. The cost of the plant today is $12 million. Five years ago, the
firm spent $3 million (in real terms) on a feasibility study. She expects the plant to produce
furniture for the next 6 years, at which time she expects the salvage value of the factory to be
$3 million (nominal). Every year the factory operates, analysts predict that they will be able to
produce and sell 2,000 refrigerators. The price of the refrigerators is $4,000 each at date 0, and
this price is expected to remain constant in real terms throughout the lifetime of the factory.
The materials needed to build each refrigerator costs $1,200 in real terms and remains constant
over the life of the project. The total annual labor cost is currently (as of date 0) expected to be
$1,000,000 per year, and due to rising wage pressure, the labor cost is expected to grow at 2%
per year in real terms throughout the lifetime of the factory. The land that the factory will be
built on belongs to the company, and they could instead rent it out for $400,000 per year in real
terms. Michelle estimates that for this type of project, the firm’s cost of capital is 10% per year
in nominal terms. Economists forecast the inflation to be 3% per year over the next ten years.
The firm faces a 35% corporate tax rate. For tax purposes, depreciation is nominal and the firm
uses straight-line depreciation. Michelle recognizes that the firm has profitable ongoing
operations to offset losses for tax purposes. All cash flows occur at the end of the year, unless
otherwise noted.
What is the market price of a refrigerator in the 6th year in nominal terms?
10. What is the total amount of labor cost in the 6th year in nominal terms? Please give answer in
$ thousands.
11. What is the amount of the depreciation tax shield per year? Recall that the tax code is written
in nominal terms. Please give answer in $ thousands.
12. What is the total sales revenue (sales price X quantity sold – materials costs X quantity sold –
labor costs) in the 6th year in nominal terms? Please give answer in $ thousands.
13. What is the total cash flow in the 6th year in nominal terms? Please give answer in $ thousands.
14. What is the 6 year nominal discount factor?
15. What is the NPV of the project? Please give answer in $ thousands.
16. What is the IRR of the project?
17. Please use the information below to answer questions 17 through 19. Jonathan is allocating his
portfolio between two risky stocks, A and B. Stock A has an expected return of 15% with a
standard deviation of 30%. The expected return and standard deviation for Stock B are 10% and
12%, respectively. The two stocks are positively correlated, with a correlation coefficient of +0.4.
Jonathan’s wealth advisor suggests allocating 30% of his wealth in A and 70% of his wealth in B.
What is the expected return of Jonathan’s portfolio, if he listens to his wealth advisor?
18. What is the standard deviation of Jonathan’s portfolio, if he listens to his wealth advisor?
19. What is the standard deviation of Jonathan’s portfolio, if he instead invests 50% of his wealth in
Stock A, and puts the rest in a risk-free asset which has a return of 3%?
20. Mary lives in a country whose financial markets satisfy the assumptions of the Capital Asset
Pricing Model (CAPM). In this economy, there are two risky assets, Spruce Company and Walnut
Corporation, along with a risk-free asset. Mary has invested 30% of her portfolio in the risk-free
asset, 40% in Spruce, and the remaining 30% in Walnut. In the entire economy, the total
valuation of the Spruce Company is $4 million dollars.
What is the total valuation of the Walnut Corporation, in millions of dollars?
21. Please use the information below to answer questions 21 and 22. Let’s assume that the CAPM
assumptions are all satisfied. Research analysts at your securities firm have identified four well-
diversified investment funds that have no unique risk. The characteristics of the funds are as
follows:
Fund Name Expected Return Beta
Alpha 34% 1.2
Beta 40% 1.5
Gamma 48% 1.7
Delta 58% 2.4
Three of the funds are correctly priced, and one of the funds is mispriced. Please identify the
investment fund that is being mispriced by the market.
22. Is the expected return of the mispriced fund too high, too low, or exactly right, given its beta?