这个作业是根据一个公司的各种财务规模等情况，分析各种投资评估技术

AF3313 Business Finance

Individual Take-home Assignment

Important Points to note:

1) In light of the current pandemic, the School’s decision is that the final exam for this

course will be replaced by this major assignment.

2) Students should answer all questions. Apart from knowledge acquired from this course,

students may be expected to carry out further research to support their answers.

3) Students must type and submit their work via Turnitin. The similarity index should not

exceed 20%. The length of each essay should be within 1,000 English words. There is no

word limit on the numerical problems. Answers to all questions must be typed.

4) Citation of references is not required.

5) Email your typed work along with the Turnitin report to your OWN TUTOR. Be sure to

email a carbon copy to yourself as evidence of submission.

Instructors Email

Toby CAO toby.cao@connect.polyu.hk

Linti ZHANG lindy.k.zhang@connect.polyu.hk

Zihua LIU zihua07.liu@connect.polyu.hk

Mingming JI ming-ming.ji@connect.polyu.hk

Nahar BEGUM nahar.begum@connect.polyu.hk

Dereje ASRAT dereje-ferede.asrat@connect.polyu.hk

6) The deadline is May 20, 2020 before 5pm. Late submission is NOT accepted under any

circumstances and a score of zero will result.

7) No questions can be posed to any tutors/lecturers and students should not discuss these

problems among themselves. Violation to this rule is considered cheating.

8) In the subject line of the email, clearly specify the Subject code & name, Tutorial number,

your Name (Last then First), and Student ID.

2

Part 1 (30 marks)

Write a mini essay for the following two independent topics. (Maximum of 1,000 English words

each without the need of citing references).

A) Provide a real-life example of a long-term external source of finance (debt or equity issue)

used by a blue-chip company in Hong Kong. A blue-chip company is defined as one of

the listed corporations that constitute the leading stock index. In this case, the leading

stock index in Hong Kong is the Hang Seng Index (HSI). Details of the HSI constituents

can be found on www.hsi.com.hk.

In your essay, describe the nature of the financial arrangement (e.g. purpose, duration,

risk assessment, etc.). In your opinion, explain whether this financial arrangement was a

right move and suggest alternatives to this arrangement with reference to what you

learned in this course and provide justifications. (15 marks)

B) Analyze why, despite employing various investment appraisal techniques, large

investment projects in big corporations may fail to deliver their estimated cash flows.

Critically assess how a failed capital project may affect key stakeholders and shareholder

value, and also shape the future strategy of investment capital. (15 marks)

3

Part 2 (70 marks)

Problem 1 (20 marks)

You are planning for your retirement. You expect to earn a monthly salary of $7,000 starting on

the 1st month after you retire, which will be able to provide comfortably for your daily expenses

through your retirement years. You are currently 33 and plan on retiring when you become 64,

and you expect to live 20 years after retirement. In addition to providing a salary for your

retirement you would like to buy a house by the time you reach 55. The house you dream of

would cost you $1,650,000. Now you have a down payment of $50,000 (ignore closing costs). In

addition you would like to offer yourself a retirement gift, a Mercedes that you would buy brand

new to serve you through your retirement years. The car is expected to cost you $76,000. It will

be purchased when you reach 64 years of age. Assume you can earn 12% compounded monthly

from now until you retire, and the rate will change to 6% monthly compounding after that.

a. How much should you save per month to be able to buy the car when you retire? (5

marks)

b. How much should you save per month to be able to buy the house at the age of 55? (5

marks)

c. Therefore, how much do you need to save in TOTAL per month if you can earn 12%

compounded monthly from now till you buy your house taking into account your

retirement expenses? (5 marks)

d. And how much do you need to save in TOTAL per month after you buy your house until

you retire taking into account your retirement expenses? (5 marks)

Problem 2 (20 marks)

You are evaluating a project for The Ultimate recreational tennis racket, guaranteed to correct

that wimpy backhand. You estimate the unit sales price of The Ultimate to be $500 and sales

volume to be 1,000 units in year 1; 1,250 units in year 2, and 1,450 units in year 3. The project

has a three year life. Variable costs amount to $225 per unit and fixed costs, excluding

depreciation, are $110,000 per year. The project requires an initial investment of $170,000 which

is depreciated straight-line to zero over the three-year project life. The expected scrap value of

the asset at the end of year 3 is $35,000. Net working capital investment is initially lowered by

$80,000 and it will be fully replaced at the end of the project’s life. The tax rate is 34% and the

required return on the project is 10%. What is the NPV of this project? Accordingly what is your

decision?

4

Problem 3 (10 marks)

The Smith Company has 10,000 bonds outstanding. The bonds are selling at 102% of face value,

have a 8% coupon rate, pay interest annually, mature in 10 years, and have a face value of

$1,000. There are 500,000 shares of 9% preferred stock outstanding with a current market price

of $91 a share and a par value of $100. In addition, there are 1.25 million shares of common

stock outstanding with a market price of $64 a share and a beta of .95. The most recent dividend

paid by the company on the common stock was of $1.10 and it expects to increase those

dividends by 3% annually forever. The firm’s marginal tax rate is 35%. The overall stock market

is yielding 12% and the Treasury bill rate is 3.5%.

1. What is the cost of equity based on the dividend growth model? (2 marks)

2. What is the cost of equity based on the security market line? (2 marks)

3. What market weights should be given to the various capital components in the weighted

average cost of capital computation? (3 marks)

4. What is the weighted average cost of capital using the cost equity calculated based on CAPM?

(3 marks)

Problem 4 (5 marks)

Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be

retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into

a retirement savings account that will earn 12% compounded monthly. Then one year after

making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after

he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum

worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%

compounded monthly. How much should the monthly deposits be for his retirement plan?

5

Problem 5 (5 marks)

A small market consists of three stocks, A, B, and C. and their financial data and projection are

presented below. Assume CAPM holds.

Stock Number of shares Stock Price Beta

A 750 33 1.2

B 220 51 0.8

C 460 19 1.4

Economic

condition Probability A B C

Boom 20% 20% 22% 23%

Normal 50% 15% 10% 12%

Recession 30% 2% 5% 7%

Find:

a) the expected return and standard deviation on this portfolio. (2 marks)

b) the expected return on the market using portfolio beta if Rf=5%. (3 marks)

6

Problem 6 (10 marks)

a) Zoey Enterprises manufactures solar engines for helicopters. Given the fuel savings

available, new orders for 125 units have been made by customers requesting credit. The

variable cost is $11,400 per unit, and the credit price is $13,000 each. Credit is extended

for one period. The required return is 1.9 percent per period. If Zoey Enterprises extends

credit, it expects that 30 percent of the customers will be repeat customers and place the

same order every period forever, and the remaining customers will place one-time orders.

Should credit be extended? (5 marks)

b) Now, assume that the probability of default is 15 percent. Should the orders be filled now?

Assume the number of repeat customers is affected by the defaults. In other words, 30

percent of the customers who do not default are expected to be repeat customers. (5

marks)

END OF ASSIGNMENT

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