Financial Decisions, Loan Repayment, Portfolio Returns and Bond Valuation
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This article discusses various financial decisions that need to be taken by a finance manager in any company, including capital allocation, budgeting, and raising finance. It also covers loan repayment, portfolio returns, and bond valuation with relevant formulas and examples. The subject is Business Finance.
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Question 1 a)There are various financial decisions that need to be taken by a finance manager in any company. These include decisions related to capital allocation, budgeting along with financialplanningandraisingfinanceisrequired.Capitalallocationreferstothe distribution of capital to profitable projects so as to maximise returns on investment. Further, budgeting implies that adequate financial planning and control ought to be done through budgets. Also, it is imperative that adequate financial resources must be available to the company’s disposal so that the business activities and expansion can continue. These are key functions which tend to ensure that the company is able to achieve the stated objectives(Parrino et.al., 2013). b)One of the key financial decisions to be taken by financial manager pertains to allocation of capital or capital budgeting. This typically involves new projects where it is imperative to choose amongst the available choices since it may be difficult to pursue all projects. Thus, the financial manager needs to conduct analysis of these projects based on estimate future cash flows using capital budgeting techniques such as IRR and NPV(Arnold, 2015). Another important financial decisions taken by the financial manager pertains to budgeting where the budget estimates need to be done considering a host of factors including the past performance of the firm and the existing environmental conditions. Budget is a key tool for performance management, control andhence needs to highlight realistic estimates of the future performance(Detsher, 2016). Financial resources are required for the company to run the business both in the form of working capital and term loan. The cash management needs to be performed for ensuring that the firm does not face any cash crunch. Also, money should be arranged in a timely manner to meet any shortfalls for implementing the proposed projects(Parrino et.al., 2013). c)With regards to capital allocation, consider a mining firm which is planning to invest $ 1 billion in a particular mine oversees. As a financial manager, analysis of the investment needs to be performed using suitable capital budgeting techniques so as to opine on whether the investment should happen or not(Arnold, 2015).
In relation to budget, the key decisions pertain to making future estimates regarding the estimates revenues and expenses based on the current year performance and host of factors that may influence firm performance.Besides, an example of decision pertaining to raising finance could be in the form of which financial source should be availed for raising capital to the extent of $ 500 million say for funding an acquisition. It could be in the form of both debt and equity and thus the financial manager need to decide how much debt and equity should be raised considering capital structure and financial position of the company(Payne & Gullifer, 2015). Question 2 a)The property is priced at $ 1.8 million and 50% of this amount would be paid through personal deposits. Hence, the loan amount to be taken = 0.5*1.8million = $ 0.9 million. However, there is a loan application fees for each of the two banks and this amount would be added to the total amount borrowed. (i)Bank A Loan application fee = $500 Loan assumed for property purchase = $0.9million or $900,000 Hence, amount borrowed = Loan application fee + Loan taken = 500 + 900000 = $900,500 (ii)Bank B Loan application fee = $250 Loan assumed for property purchase = $0.9million or $900,000 Hence, amount borrowed = Loan application fee + Loan taken = 250 + 900000 = $900,250 (b) The formula for computation of instalment for repayment of loan is given below. Instalment amount = [P x R x (1+R)N]/[(1+R)N-1]
P = Principal, R = Applicable rate of interest, N = number of time periods for the loan repayment. (i)Bank A The relevant inputs values are given below. P = $900,500 R = 3.67% p.a. or (3.67/24) per fortnight = 0.1529% per fortnight N = 25 years or 25*24 fortnights = 600 fortnights Hence, instalment amount every fortnight = (900500*0.001529*1.001529600)/(1.001529600-1) = $2,294.25 Therefore annual repayment = 2292.25*24 = $55,061.92 (ii)Bank B The relevant inputs values are given below. P = $900,250 R = 3.67% p.a. or (3.67/12) per month = 0.3058% per fortnight N = 25 years or 25*12 months= 300 months Hence, instalment amount every fortnight = (900250*0.003058*1.003058300)/(1.003058300-1) = $4.589.36 Therefore annual repayment = 4589.36*12 = $55,072.3 (c) Based on the above computation, it is apparent that annual repayment is lesser for BANK A and thus amortisation schedule for Bank A loan is highlighted below. Relevant Formulas used are indicated below 1)Interest = Balance at the beginning * Interest rate per fortnight 2)Principal Repayment = Fortnightly instalment – Interest 3)Balance at the end = Balance at the beginning – Principal Repayment
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Question 3 (a)Telstra Stock Closing price as on January 3, 2017 = $ 5.16 Closing price as on January 30, 2018 = $ 3.60 Dividends paid during the period = 0.155 + 0.155 = $0.31 Holding period Returns =[(Closing Price + Dividends – Opening Price)/Opening Price]*100 Holding period returns = [(3.6 + 0.31-5.16)/5.16]*100 = -24.22% Commonwealth Bank Closing price as on January 3, 2017 = $ 82.97 Closing price as on January 30, 2018 = $79.09 Dividends paid during the period = 1.99 + 2.3 = $ 4.29 Holding period Returns =[(Closing Price + Dividends – Opening Price)/Opening Price]*100 Holding period returns = [(79.09 + 4.29-82.97)/82.97]*100 = 0.49% AGL Energy Closing price as on January 3, 2017 = $ 22.51 Closing price as on January 30, 2018 = $23.53 Dividends paid during the period = 0.5+0.41 = $ 0.91 Holding period Returns =[(Closing Price + Dividends – Opening Price)/Opening Price]*100
Holding period returns = [(23.53 + 0.91-22.51)/22.51]*100 = 8.57% (b)The respective weights of Telstra, Commonwealth Bank and AGL are 40%, 20% and 40% respectively. Expected return on portfolio = Weight of TLS in Portfolio *Holding period returns of TLS+ Weight of CBA in Portfolio *Holding period returns of CBA+ Weight of AGL in Portfolio *Holding period returns of AGL Hence, expected return on portfolio = 0.4*(-24.22) + 0.2*(0.49) + 0.4*(8.57) = -6.16% (c)The respective weights of Telstra, Commonwealth Bank and AGL are 40%, 20% and 40% respectively. Hence, beta of portfolio = 0.4*Telstra Beta + 0.2*Commonwealth Beta + 0.4*AGL Beta = 0.4* 0.6916 + 0.2*1.1038 + 0.4*0.6133 = 0.7427 (d)The formula for Capital Asset Pricing Model is indicated below. Expected returns = Risk free rate + Beta* Market Risk Premium Expected returns = -6.16%, Beta = 0.7427, Risk free rate = 2.67% Substituting the requisite inputs in the given model we get, -6.16 = 2.67 + 0.7427*Market Risk Premium Solving the above, we get Market Risk Premium = -11.89% Question 4 a)The relevant formula is shown below. FV = PV (1+r)n
In the given case, PV or present value = $ 5,000 Rate of interest or r = 2.8% p.a. compounded semi-annually or 1.4% per six months Number of periods or n = 4 years or 8 half years Hence, FV = 5000(1+0.014)8= $ 5,588.22 b)The relevant formula is shown below. FV = PV (1+r)n In the given case, PV or present value = $ 10,000, FV or future value = $ 30,500 Rate of interest or r = 2.8% p.a. compounded every two months or (2.8/6) or 0.46667% per two months Hence, 30500 = 10000*(1.0046667)n Solving for n, we get n =239.5196 Since n highlights a period of 2 months, hence the total time period = (239.5196 *2/12) or 39.92 years c)The price of the zero coupon bond would be equal to the present value of the principal repayment which would happen at the maturity since no coupon payments would be derived. Face value = $ 1,000 Market interest rate = 3.99% p.a. or (3.99/2) or 1.995 % per six months Maturity period = 30 years or 60 half years The relevant formula is shown below. PV= FV/(1+r)n In the given case, FV = $ 1,000, n = 60, r= 1.995%
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Hence, PV = 1000/(1.01995)60= $ 305.68 The value of the given zero coupon bond is $ 305.68. Total amount of bonds required to raise $ 1 million or $ 1,000,000 = 1000000/305.68 = 3272 bonds d)Dividend in year 1 = £220 Dividend in year 2 = £220 * 1.27 = £279.4 Dividend in year 3 = £279.4 *1.15 = £321.31 Dividend in year 4 = £321.31*1.08 = £347.01 The value of dividends from 4thyears onwards can be estimated using the Gordon Model. Stock price = Next year dividend/(Required rate on equity – Perpetual annual dividend growth) Value of all future dividends at the end of year 3 = 347.01/(0.17-0.8) = £3855.72 Intrinsic price of stock = (220/1.17) + (279.4/1.172) + (321.31/1.173) + (3855.72/1.173) = £3000.15 The share purchase would not be considered desirable since the current price at £3,500 exceeds the intrinsic price of £3000.15 and thus is overvalued at current price.
References Arnold, G. (2015)Corporate Financial Management(3rded.). Sydney: Financial Times Management. Detscher, S. (2016)Corporate finance and the theory of the firm. Germany: GRIN Verlag GmbH. Parrino, R., Yong, H., Kingsbury, N., Kidwell., D., Ekanayke, S., Murray., J., & Kofoed, J., (2013)Fundamentals of Corporate Finance(2nded.).Melbourne: John Wiley and Sons Australia. Payne, J., & Gullifer, L. (2015)Corporate finance law: Principles and policy(4th ed.). Oxford, United Kingdom: Hart Publishing.