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FNCE10002 Principles of Finance
Creation date：2024-04-26 10:48:50
Belonging category：金融Finance
Principles of Finance

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Subject Number: FNCE10002
Subject Name: Principles of Finance
Writing Time: 120 minutes
Reading Time: 15 minutes
Total Marks: 100

Question 1 (10 marks)
The annual report of WTC Ltd provides the following information about the firm. It has 20 million
ordinary shares outstanding with a current market price of $1.50 per share. The beta of ordinary shares is
1.5, the market risk premium is 8% p.a. and the riskfree rate is 6% p.a. The firm’s debt consists of
100,000 bonds paying an annual coupon rate of 10% at the end of each year and maturing in 4 years’
time. Each bond has a face value of $100 and the current yield to maturity on these bonds is 8.0% p.a.
The company tax rate is 30%. Calculate WTC’s after-tax weighted average cost of capital. Show all
workings.

Question 2 (10 marks)
KLC Ltd is evaluating an investment project with the following information:

Project life 2 years
Initial project cost $400,000
Real before-tax net operating cash flows $350,000 per annum
Real after-tax salvage value in year 2 $14,000
Corporate tax rate 30 percent
Nominal project discount rate 10.24% per annum
Expected inflation rat 4.00% per annum

Assuming end-of-year cash flows, calculate the NPV of this project. What decision should the firm
make? Show all workings.


Question 3 (10 marks)
You are given the following information on two stocks and the market portfolio. Note that the diagonal
terms are variances of returns and the off-diagonal terms are covariances of returns.

Security/Portfolio Variances and Covariances
Delta Ltd Omega Ltd Market Portfolio
Delta Ltd 0.250
Omega Ltd 0.060 0.090
Market Portfolio 0.030 0.050 0.040

(a) You have $50,000 available to invest and you form a portfolio by short selling $30,000 worth
of Delta Ltd and investing all the available funds in Omega Ltd. Calculate the beta of this
portfolio. Show all workings.
(b) If the market portfolio’s return unexpectedly falls by 2 percent what, if anything, will happen
to the portfolio’s return? Explain.

Question 4 (10 marks)
The CFO of the CSC Ltd is considering a recapitalization plan that would convert CSC from its current
all-equity capital structure to one including substantial financial leverage. At present, CSC has 250,000
ordinary shares outstanding, which are selling for $60.00 each, and the recapitalization proposal is to
issue $7,500,000 worth of long-term debt at an interest rate of 6.0 per cent and use the proceeds to
repurchase 125,000 ordinary shares worth $7,500,000. CSC’s expected EBIT next year will be
$2,000,000. Assume there are no market frictions such as corporate or personal income taxes.

(a) Calculate the number of shares outstanding, the share price and the debt-to-equity ratio for CSC
if the proposed recapitalization is adopted. Show all workings.
(b) Calculate the expected earnings per share and return on equity for CSC’s shareholders under
the expected EBIT for both the current all-equity capitalization and the proposed mixed
debt/equity capital structure. Show all workings.


Question 5 (10 marks)
You are an investor keen to invest in the shares of Asjeet Ltd and Pinder Ltd. Your plan is to construct a
portfolio consisting of a 30% investment in Asjeet Ltd shares and 70% in Pinder Ltd shares. You estimate
that the current yield on a 10-year Government bond is 3% p.a. and plan to use this security as a proxy for
the risk-free asset. You also estimate that the market risk premium is 6% p.a. You go on to compile the
following information with a view to treating the ASX 200 index as a proxy for the market portfolio.

Asset Standard
deviation of
returns (p.a.)
Correlation coefficient
Asjeet Ltd
shares
Pinder Ltd
shares
ASX 200 10-year
Government
bond
Asjeet Ltd
shares
20% 1.0
Pinder Ltd
shares
30% 0.6 1.0
ASX 200
index
25% 0.8 0.7 1.0
10-year
Government
bond
0 0 0 0 1.0

(a) What is the standard deviation of returns for your portfolio? Show all workings and round to the
nearest two decimal places.
(b) What is the beta of Asjeet Ltd and Pinder Ltd shares? Show all workings and round to the nearest two
decimal places.


Question 6 (10 marks)
Debra is a jeweler that regularly purchases ingots of gold so as to manufacture jewelry. She is concerned
that adverse price movements will increase the cost of manufacturing her products and so purchases a call
option written on gold. The option she purchases is a European-style option with an exercise price of
$2,600 for an ounce of gold. Debra pays $350 for the option and the current price of gold is $2,400 per
ounce.

(a) Draw the profit diagram of the option described above. Make sure you label all axes, turning points
and intercepts.
(b) What is the time value and intrinsic value of the option described in the text accompanying the
question above?

Question 7 (10 marks)
You have been awarded a Pinder Foundation scholarship to help cover your living costs while studying at
the University of Melbourne. The scholarship offers a regular payment of $1,000 per month for three
years with the first payment occurring in one and a half months’ time. If the relevant discount rate is 6%
p.a. compounding monthly, what is the present value of the scholarship today? Show all workings and
round to the nearest two decimal places.

Question 8 (10 marks)
You arrange a mortgage from the Pinder Bank of Australia. The amount you borrow is $760,000 with
payments required on a monthly basis over the next 25 years with the first payment required one month
from today. The interest rate quoted by the bank is 10% p.a. compounding monthly. What is the monthly
payment required by the bank? Show all workings and round to the nearest two decimal places.

Question 9 (10 marks)
You are employed by an investment bank to estimate the value of a coupon-paying bond with the
following features. It has a face value of $100,000, pays quarterly coupons at a rate of 8% p.a. and the
market required yield to maturity is 10% p.a. compounding quarterly. There is one full quarter until the
next payment will be received and the bond matures in 4 years. What is the market value of the bond?
Show all workings and round to the nearest two decimal places.
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CMP7000A CMP-7038B Math 263 LAW3016 CS371 STAT 334 FIN0008 ACC3004 STAT 371 ​COMP1921 MTH201 ACCT2000 UN3412 CIV6000 MATHS 3021 MATE7014 ECON1 CIBC6035 LAW121G COMM 321 CSC8204R TTM2033 CSCI 2600 MAE 115 LNG302 CENV6175W1 ECON30019 CPS2015 BST969 DDES9015 AMATH242 CS 1151 N1592 ACCT600 EG503G SMM519 EC318 Ecstatistics EEE 471 MARK2051 Topology COM00037H ACCT3000 MTHM501 EG501V COM00055H BUSN9085 GGR273 MATH 2B ITD102 MA214 ECON0060 ECE3114 ECMM447 Mechanics CCT361H5S BSAN3210 WELF2001 Fin3001 RESP5001 STA 137 Linguistics 101 CSCI368 CMPSC497 LUBS3655 OMBA 5355 BUSM2562 ​BFF5902 CYBR7001 CULT2005 ECON 7720 MTRX3760 FSE598 ​LUE1001 MGSC 7100 CS3240 COSC7500 ACCT3091 INFOGR TRAN 2080 DESIGN CIVE215001 CIVE2360 CPSC 8430 FNCE2003 Stoichiometry INFS6023 Quantitative Method Math 21D ECE5179 Design ​ECON8022 Chemical DMS 213 ADM1370 BFF5902 BFF2701 AGRI10051 AMN400 ECON7322 ​FINC5090 ​MATH1052 ​SciComp Elec4622 ​FINS5516 ENG 101 MMM143 CS431CA2 BSAN2201 EBSC7070 ES9v9-10 PLIN0009 DATA 8 MATH 101 BCPM0097 ​MAT 237 BISM2201 EEE8099 Physics 11 ECE2238B Biostat 234 ​ECON30009 INF10025 CHEM252 CCMA4008 CIVE 3007 STAT0031 ELEC ENG 3108 MGMT90140 CHEM 252 STAT3016 MMM095 ​MMGT6016 Legal STAT 311 ELEC9764 COMP 370 TCS 3053 EECS 1021 FIT1051 C/C++ EE3C COMP2003J COM398 COMP51915 Simulator FIN42330 8PRO102 PGD ELEC5160 XJCO1921 COMP5123M INFS 2042 CHE1148H ECA5313 IN3329 Microsoft Modeling B15 2TT COMP3687 COMP2432 DMS2030 KAN4TSF CFKG CSE 5322 CSE 445 STATS 3DA3 CHC5223 COMP1048 EL3105 EECS 3221 CS231 ME 4434 ITP4510 ITP4501 CSCI 5708 Controller EECE 5699 CPEN 231L CPN programs CSC8016 MATU9D2 ENGN4213 2. SVM. (10 points) Consider an SVM classifier using RBF kernel, and finish the following python code to search for the optimum kernel parameter γ. You are required to calculate the RBF function and search yourself, instead of using functions in Scikit-Learn (sklearn). def parameter search(gamma list ,Xtr,ytr,Xts,yts ,...): """ Parameters gamma list: A list of RBF kernel parameter gamma to search for Xtr: Training data, shape (ntr,nrow,ncol) ytr: Training labels, shape (ntr,) Xts: Test data, shape (nts,nrow,ncol) yts: Test labels, shape (nts,) ... Add other parameters as needed Returns: gamma optimum: The gamma with minimum error on Xts, yts """ ... return gamma optimum
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