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EMESTER1 Firm Valuation
Creation date：2024-04-01 16:15:15
Belonging category：经济Economics
Firm Valuation

EMESTER 

Question 1 – Firm Valuation


RaDrones Plc (RaDrones) is an Irish-listed company which manufactures and retails drones at
its stores throughout Ireland. RaDrones drones are popular with surveying companies, farmers
and hobbyists. The company has experienced high growth rates since it commenced trading in
2010. Since it commenced trading, the company has experienced average annual growth rates
of 10% per annum.

However, due to a number of well-publicised cases of drone operators flying recklessly, the
Irish airspace regulator introduced mandatory licences for drone operators in December 2017.
The process for obtaining a drone pilot licence is estimated to take 12-18 months to complete.
RaDrone expects the new regulations will have a significant negative impact on its business.

The company expects its growth rate will drop significantly in 2018 and will gradually recover
over a period of 5 years. However, it does not anticipate the growth rate will ever fully recover
to the high growth rates experienced during the pre-regulation period. The share price of
RaDrones had fallen to €32.50 per share by the end of December 2017.

Additional information for year ended / at the 31st December 2017:
 Earnings before interest and taxes (EBIT) for 2017: €50 million
 Capital expenditure for 2017: €20 million
 Depreciation for 2017: €2 million
 Revenues for 2017: €120 million
 Working capital as a percentage of revenues: 10%.
 Tax rate: 12.5%.
 Current market value of RaDrones debt: €150 million
 The risk free rate is 3% and the market risk premium is 5%.
 The firm has 10 million outstanding shares in issue.

Expected financial information for next 5 year growth-recovery period:
 Length of growth recovery period: 5 years
 Expected growth rate for 2018: 1% (increasing by 1% per annum over the next 5
years)
 Financing details:
o Beta during recovery phase: 2.2
o Cost of Debt during recovery phase: 5% (pre-tax)
o Debt Ratio during recovery phase: 60%

Expected financial information after 5 recovery period:
 Expected stable growth rate in FCFF: 6%.
 Tax Rate: 15%
 Financing details:
o Beta during stable growth phase: 2
o Cost of debt during stable growth phase: 7% (pre-tax)
o Debt ratio during stable growth phase: 40%
…Question 1 continues over the page.

You may assume that the growth rate affects sales revenue, earnings before interest & taxes
(EBIT), capital expenditure and depreciation.

Required:

(a) Use a Free Cash Flow to Firm (FCFF) model, at the end of December 2017, to
estimate the value per share of RaDrones shares.
(34 marks)


(b) Discuss other valuation methods that could be used to value RaDrones and outline
when they might be suitable.
(6 marks)



(TOTAL: 40 MARKS)


Question 2 – Bonds

Soze & Sons Shipping Plc (SSS) is a company listed on the Irish Stock Exchange. The company
was founded by William Soze in 1902. The company was run and owned entirely by the family
until 2015, when it became a listed company. The Soze family still own a combined 20% of
the share capital of the company. The Managing Director of SSS is Peter Soze, a descendant
of the founder. Peter’s business philosophy was heavily influenced by the opinions of his
grandfather; he believes the company should remain entirely equity financed. The company
has never, throughout its history, been financed with debt.

When the company was listed on the Irish Stock Exchange in 2015, the Soze family was forced
to make significant changes to the company’s board of directors. As a consequence, you were
appointed as the company’s Finance Director in late 2015.

In December 2017, Peter calls you into his office to discuss the financial affairs of the company.
During this meeting, Peter claims, “Our advisors keeping talking about bonds! They want me
to buy them and they want me to sell them. I need your advice.”

Firstly, SSS’s financial advisors have proposed that SSS consider investing any future excess
cash by purchasing other companies’ bonds. The advisors produced a report which contains
the yield curve below. Peter states during the meeting, “The longer the bond term, the higher
the yield. Of course I’m going to invest in the longer term bonds.”
Secondly, SSS needs to raise an additional €11 million in capital in order to finance its
operations in 2018. During the meeting, Peter states, “I don’t want the company to issue bonds;
debt is a very expensive way to finance a company. The 9% rate on the bonds exceeds our
current cost of capital.” SSS’s current cost of capital is 8%. You may ignore costs associated
with bond issues. The company’s financial advisors have proposed the company undertakes a
bond issue; the details of the proposed bonds are listed below:
Number of Bonds: 10,000
Bond Face Value: €1,000
Coupon Rate: 9%
Maturity Term: 3 years
Current Market Value: €1,100
Tax Rate: 12.5%


…Question 2 continues over the page.

Required:

(a) Explain to Peter why investors may prefer to purchase bonds with shorter terms until
maturity.
(5 marks)

(b) Calculate and explain the financial implications of SSS undertaking the bond issue for
the company’s cost of capital. You are required to show all workings.
(15 marks)

(c) Explain the benefits and disadvantages of financing a business with equity versus
debt.
(10 marks)

(TOTAL: 30 MARKS)
 of 9

Question 3 – Financial Statement Analysis

You are a financial analyst working for a company called Five Worlds Chemicals Ltd (FWC).
FWC manufacture and export various chemical products.
The directors of FWC feel the company will grow rapidly over the next three years and are
focused on increasing the company’s manufacturing capacity to facilitate this future growth.
In the recent past, FWC completed a successful share issue and loan application which allowed
the company to raise much needed finance. The company now wishes to apply to their bank
for a further long-term loan facility. You have been tasked with analysing the business for the
purpose of making a loan application and identifying areas of the business which could be
improved in order to ensure the loan application is successful.
The following extracts from the financial statements of FWC for the year ended 31st December
have been made available to you:

Statement of Comprehensive Income / Income Statement
2017 2016
€'000 €'000
Revenue 1,200 810
Cost of Sales (496) (323)
Gross Profit 704 487
Administrative Expense (180) (200)
Depreciation Expense (50) (44)
Operating Expenses (158) (106)
Profit Before Tax 316 137
Finance Costs (100) (36)
Income Tax Expense (40) (19)
Profit from Continuing Operations 176 82

Additional Information:
Dividends Declared (120) (100)

Cost of Capital 2% 2%
Tax Rate 12.5% 12.5%

…Question 3 continues over the page.

Statement of Financial Position / Balance Sheet
2017 2016
ASSETS €'000 €'000
Non-Current Assets
Property Plant and Equipment 6,100 5,220
Intangible Assets 1,225 950
Investment Property 1,455 500
Current Assets
Cash & Bank 300 310
Inventories 545 600
Receivables 480 390
Total Assets 10,105 7,970

EQUITY AND LIABILITIES
Equity
Share Capital (€1 Shares) 1,600 1,000
Share Premium 749 400
Retained Profit 4,906 4,850
7,255 6,250
Non-Current Liabilities
Loan 2,500 1,300

Current Liabilities
Trade Payables 250 300
Taxation 100 120
Total Equity and Liabilities 10,105 7,970

Required:

(a) Using financial ratios and the available financial information, analyse the following
aspects of FWC’s performance:
 Profitability
 Efficiency
 Leverage
 Liquidity
(24 marks)


(b) Explain the advantages and limitations of the Economic Valued Added (EVA)
measure.
(6 marks)


(TOTAL: 30 MARKS)
Question 4 – Dividend Policy & Acquisitions

Answer both parts of this question.

Part (a)

'Modigliani and Miller conclude that, in a perfect world, dividend policy should not matter to
the value of the firm. Given the world is imperfect relative to the one analysed by Modigliani
and Miller, which imperfections suggest that their conclusion might not hold in the world that
actually exists? How might these imperfections affect company dividend policy?'
(15 marks)

Part (b)
Big Ten Four Ltd (BTF) is a listed company which owns and operates fuel stations around
Europe. The Managing Director of BTF is Daniel O’Leary. BTF is generates significant cash
from operations each year from its existing asset base. However, the company has experienced
a lack of available, profitable, investment opportunities over the last number of years. O’Leary
is considering using BTF’s excess cash reserves to purchase a large renewable energy company
which operates wind farms around Western Europe. O’Leary believes the acquisition will boost
BTF’s earnings per share and will diversify the company’s asset base, thereby reducing risk.

Discuss the potential benefits and drawbacks of O’Leary’s acquisition plan.

(15 marks)

(TOTAL: 30 MARKS)

-oOo-

GENERAL FINANCE FORMULAE

Cost of Equity (Ke) = Rf + β x [(Rm – Rf]

Stock Price P0 = Div1 / [Ke - g]

WACC = [Ke x (E / D+E)] + [KD x (D/ D+E)]


PRESENT VALUE DISCOUNT FACTORS

Discount Rate
Time 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15%
0 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
1 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696
2 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8116 0.7972 0.7831 0.7695 0.7561
3 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.6931 0.6750 0.6575
4 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718
5 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972
6 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323
7 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4817 0.4523 0.4251 0.3996 0.3759
8 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269
9 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843
10 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472
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EMESTER1 MAS8383 ECO 512 STAT 8310 CMN3102 MA577 CMPT 225 COMP0045 Methods Equations MATH 113 Math 3283W ICS-33 EN4302/ENT603 BIA B350F MA318 MTHM506 MECH 5315M ECONOMICS MAS8382 COM 2004 PX3142 XJEL 3662 STAT 231 MGT B399F PX4131 COM2108 30AM MSCI521 ECONM1015 ACFI304 GR5241 MATH10101 ECON 2070 COMS31900 EFIM20011 CSE 250B ACSE-5 STAT4207 SOFT2412 ELEC 331 AY2020 MSIN0209 FIT2094 CS 241L ST404 CS 411 3D CA3 INF4002 COMP3506 SIT718 CS 188 CS 170 MATH 138 CSE 251A CMT118 DATA5207 CMPT307 CMPT459 T1 PGEE11108 COSC 3P32 ME 163 MATH96007 7QQMM203 EE6227 BA 574 STA 4234 ECO206Y1Y ECO2008 MT2300 MATH 11158 CS 527 MACM 316 CSE474 2DI70 ISE 525 COMP3411 EMAT30007 7CCSMBDT MFIN704 MFIN704W21 MfIB ECE 438 CS 436 F36 CS5344 FE 621A FE621 TBA 612 ECM3151 ECMM422 MF1 MSIN0107 ESSMENT CS 5854 MFIT 5008 MIPS R4000 ENG5274 BU52018 ENG2079 BIOA02 STA2570 F0 INF553 STAT 440 STAT3008 COMP9417 COMP6451 6COM1042 BU52006 ST303 HW-1 CISC-235 CS 510 MATH3161 ECN 140 ECE391 Comp 3613 CVEN 9625 PRG455 UESTION 1 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MATH 239 QF5203 INFR08010 IT114105 FIT2093 ECON3124 ECON1195 MATH 337 STAT 3006 COMP202 COMP3130 MATH3609 COMP 250 CS6140 IEEE ELE00041I FIN40090 CIV 5899 MATH3066 IGNMENT MATH 2009 STAT3405 HIST 101 MATH 3281 CEGE0042 ICT532 LAB 7 LAB 5 MCO455 CSIT214 Q4 IFB104 A1 ECO220Y5Y DA5020 CMPSC473 FIN9007 DSCI553 MSCI534 COMP3308 CSE-112 CMPT 310 EE104 F 2C P20 ALY2010 BUSM060 STA258 ECO00030M R BIOSTAT 274 COS6012-B FIT3155 CMPUT 340 EC421 INFS4205 ECOM135 NATS 1740 COMP809 MBE 6005 STA465 CSSE2310 CIVL2700 DATA4700 CMPSC 473 ISE 529 CS5044 MAST30020 COMP2207 ENGG1001 COMP0046 FIT3165 STAT GR5241 MECH0007 vATHK1001 ANALYTIC ATHK1001 MATH352001 HW3 S1 BMAN 24662 COMP 636 Stat-461 STAT 302 STAT 2132 STAR534 ENG4137 CMP3752M CS3103 BISM3222 STA 135 ME155A IIMT3601 ECON3371 ECON 3371 HW4 FINA 5840 DT211C CTEC3902 MAT005 MATH2148 S261F Econ 332 MATH3734 MIS41270 7CCMFM13 SYST 664 CIS434 CENG10014 MT4111 MT4527 ECMM424 CMT219 Math 136 MATH 3120 COMP10002 MAST20009 MATH0058 BEEM117 ISYE 6420 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COMSM0093 COMP281 AFM 333 IBUS1001 CP2501 Math 105A VE320 TEC101 SOCY2166 COM240 EFIM20033 ENGI4467 EFIM20034 EC 979 BE432 7EJ502 CSSE6400 COMP90025 Econ 312 ENG2031 ECO0006 EXERSCI 207 CAN209 ECO 137W FT312 ECO 2199 MATH32052 BDW4213 APS 360 SAS 6 CHME0017 PO92Q Economics 01AV MATH39512 MATH 5486 COMP8620 ISE102 ECON235 ECON 206 FI 345 PHAY0020 MATH0099 MATH0085 EFB106 PHY 134 MAE115 circuits Chemistry CSE12 MATH-UA 233 PHAS0038 COMP2140 CONMGNT 7049 COMP151101 ECON 485 ACX5903 ENGN6536 ARCH1162 Law PHAS0042 CCF1C03 MATH 351 Phys 139 AG942 MGT001371 APH106 ECON1051 MA4AM MA3Z7 NUMBER THEORY REST0006 SESS0026 STAT0023 TABL 2741 CMP4008Y EFIM10015 Acct 560 PSYC735 GEOG 5 ACCT3104 CSEC5616 PHIL1012 ITLS6111 ECON8022 5CCM226A compX123 MA4XJ R001 EWB LLP120 COMP643 ENG 103 ECON 23950 ACCT 207 FINC 616 Bio99 Math 137A Psychology BCPM0054 MATH20212 EC3450 CENV6141 PSY 205 CE335 CS365 Calculus ACSD INFT6800 MCIT INFO6030 PHYS 111LV H63EEJ ECON2151 ENGI 2181 MTRX1701 PLIT08009 CS240 Math 270 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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