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Download MODEL ANSWERS TO FINANCIAL ECONOMICS (IOBM
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MODEL ANSWERS TO FINANCIAL ECONOMICS (IOBM-AD301) SECTION A Question 1 (i) Sinking fund This is an annuity invested in order to meet a known commitment at some future date. Common uses f sinking fund include repayment of debt or provision of funds to purchase a new asset when the existing one is fully depreciated (ii) Hedge This is a financial strategy that offsets the risks from one security (or other investment) by buying or selling others . A common example is the use of options and futures to reduce the risks of holding a portfolio of investments (iii) Yield curve/Term structure of interest rate This is a graph that plots the yield of similar quality bonds against their maturities, ranging from the shortest to the longest Is the relationship between the yield to maturity on the one hand and on the other hand, the time to maturity for pure discounted bonds NORMAL YIELD CURVE YIELD 5% 4% 3% 2% 1% 5 10 15 20 25 Time to maturity (in years), (iv) Annuity This is a series/stream of fixed, normally equal payments equally spaced over a specific period of time/ Examples include regular deposits to a savings account (standing order), monthly rentals, pension income, mortgage payments etc (v) Amortization Is the process of decreasing or accounting for an amount over a period of time. It is the distribution of a single lump sum cash flow into many smaller cash flows Eg Assuming Nengezi negotiates a loan of K200,000 over 15 years at 10.5% per annum, the annual payment necessary to amortize a debt is P (i) {1-[1/(1+i)n]} 200,000 (0.105) {1-[1/(1+0.105)15]} =27061 Question 2 a) (i) (ii) an ordinary annuity and an annuity due. An ordinary annuity is an annuity where payments are required at the end of each period e.g. a straight bond pays coupon payments at the end of every 6 months until the bond’s maturity date. An annuity due on the other hand, payments are required at the beginning of each period. E.g monthly rentals systematic risk and unsystematic risk systematic risk is the portion of risk of individual security’s returns caused by factors affecting the market as a whole (i.e. macro variables such as interest rate, inflation etc) and cannot be avoided by diversification. Unsystematic risk on the other hand are diversifiable risks that are unique to a particular firm (such as a firm going bankrupt or staff going on strike) and can be reduced through diversification b) Let N= 3, I/Y=5% PV=K1,000 FV = FV = PV (1 +I/Y)N 1000(1+5%)3=K1,157.60 Question 3 a) To enhance strategic focus: a firm may divest/sell business that are not part of its core business so that it can focus on what it does best To raise funding: by selling one of its businesses in exchange for cash, divestitures help generate funds for a firm. Creation of stability: divesting a part of a firm can help create stability especially where one division’s market is becoming volatile Compliance: a firm may divest as a result of want to comply with an order/directive by the regulatory authorities eg if the merge or existing set up goes against competition and fair trading practices Another motive for divesture is that a firm’s “break up” value is sometimes believed to be greater than the value of the firm as a whole. In other words, the sum of a firm’s individual asset liquidation values exceeds the market value of the firm’s combined firms to sell off what would be worth more when liquidated than when retained. (b) PV P = = (c) = A/i 7000/0.2 K35,000 i = 100 X A/PV i = 100 X 3000/30000 I = 0.10 i.e 10% Question 4 (i) capital structure policy a firm has control over its capital structure. As more debt is issued, the cost of debt increases and as more equity is issued, the cost of equity increases. Both these have the effect on dampening the profitability of the organization (ii) dividend policy increasing a company’s dividend pay out ratio tends to increase the break point between lower cost internally generated equity and newly issued equity is lowered. (iii) investment policy it is assumed that when making investment decisions, a company makes investments with similar degrees of risk. If a company changes its investment policy to its risk, both the cost of debt and cost of equity change (iv) tax rates tax rates affect the after tax cost of debt. As tax rates increase, the cost of debt decreases, thereby decreasing the cost of capital SECTION B Question 5 i) an analysis of the role of savers the loanable funds market is a hypothetical market that brings together savers and borrowers, so that the ii) iii) iv) v) excess funds (deposits by savers) are channeled to productive investment by eligible borrowers an analysis of how interest rates are determined the level of interest rates is determined by the supply and demand of loanable funds in the economy’s credit market investment and savings on the economy determine the level of long term interest rates while short term interest rates are determined by an economy’s financial and monetary conditions key components of the demand for lonable funds net investments and net additions to liquid reserves key components of the supply of loanable funds net savings and increase in the money supply how the central bank influences the level of interest rate central bank influences the supply of loanable funds from commercial banks and thereby changes the level of interest rates. As central bank increases/decreases the supply of credit available from commercial banks, it decreases/increases the level of interest rates Question 6 a) Which measure of central tendency (mean or median) best represents the values of these 11 managerial salaries in the Tanzanian banking sector? Justify your answer. Mean = [100,000+5(175,000)+4(200000)+700,000]/11 =k225,000 Median = 100,000; 175,000;175,000; 175,000;175,000;175,000;200,000;200,000;200,000;200,000;700 ,000 Median is k175,000 i.e. the middle (6th value) of the numbers arranged in ascending order b) The MEDIAN is the measure of central tendency that represents the values of the salary for managers since the mean value has only one salary higher than the mean c) It would not be logical to conclude that the banking sector in TZ will be able to attract the financial economist from Malawi with her current salary of K800,000. The Malawi salary of K800,000 exceeds any of the salaries paid to TZ managers, meaning that the mode, mean and median salary on TZ market is lower than that of the Malawian Financial Economist is currently earning Question 7 (a) (b) An Independent variable is an explanatory variable about which knowledge is available and whose value is used to predict or to have caused another variable. A dependent variable on the other hand is a variable whose value depends on and is explained by another variable 5 scenarios where regression analysis can be applied -To assess the interactive effects of 2 or more independent variables with regard to a dependent variable -To determine the best mathematical model for describing the relationship between a dependent and one or more independent variables -To determine which of the several independent variables are important and which ones are not in describing or predicting a dependent variable -To obtain a quantitative formula or equation to describe the dependent variable as a function of the independent variable -To characterize the relationship between dependent and independent variables by determining the extent, direction and strength of the relationship c) (i) Y = a + bX Y = 10 + 5(40) Y =210 customers (ii) 110 = 10 + 5(X) 5X = 100 X = 20 branches Question 8 a) DESMO economy Probability Return pi X ri - -- - ri ri- rJ (ri- rJ)2 pi ri Slump 0.2 -5 -1 18 +23 105.8 Growth 0.6 +30 +18 18 12 86.4 boom 02 +5 +1 18 -13 33.8 18 Variance Expected Return 226 Standard Deviation 15.03% b) COSMO economy Probability Return pi X ri - -- - ri ri- rJ (ri- rJ)2 pi ri Slump 0.2 0 0 12 -12 28.8 Growth 0.6 +12 +7.2 12 0 0 boom 02 +24 +4.8 12 12 28.8 12 Variance Expected Return Standard Deviation 57.6 7.59% Therefore A) Expected return for DESMO is 18 B) Expected return for COSMO is12 C) Expected risk for DESMO is 15.03 % D) Expected Risk for COSMO is 7.59 Note expected return can be either the VARIANCE or the STANDARD DEVIATION, as along as the student is consistent