Business Finance Exam
Question:
The following data is from Saratoga Farms Inc. 2004 financial statements.
Sales = $ 2,000,000
Net Income=$ 200,000
Total Assets=$ 1,000,000
Debt to Total Asset Ration= 60
Required
a)Construct and solve the Dupont equation for Saratoga Farms.
b)What will be the impact on ROE if Debt to Total Assets Ratio were 20%.
Solution:
a)Dupont Equation
Dupont equation is used to judge the impact of operational efficiency and effectiveness on the return on equity and assets or we can say on the overall performance of the company. The Dupont equation can be obtained by decomposing the ROE. It can be achieved through following way:
Net Income
ROE = ------
Total Equity
Multiplying it by Assets / Assets (without changing anything)
Net Income Net Income Assets
ROE = ------= ------x ------
Total Equity Total Equity Assets
Net Income Assets
ROE= ------x ------
Assets Total Equity
Net Income Assets
ROE = ------x ------
Assets Total Equity
So, we have expressed ROE as a product of two other ratios – ROA and the equity multiplier
ROE = ROA x Equity multiplier
= ROA x (1 + Debt-Equity ratio)
Now we will calculate the for the above date using Dupont Approach;
ROE= ROA x Equity Multiplier
ROE=Net IncomexNet SalesxAssets
Net Sales AssetsEquity
We can find equity by total debt to total assets ratio i.e. 60%. That means the equity to assets is 40%. In Absolute values it is (1,000,000 x 0.40) = 400,000
So by putting the values in equation we may get,
ROE=200,000x2,000,000x1,000,000
2,000,0001,000,000 400,000
ROE= 0.50 or 50 %
b) Now if debt to total asset ratio is 20%
If debt to total assets ratio is 20% that means that now equity is 80% of the total assets i.e. 800,000. The new ROE will be as follows:
ROE=Net IncomexNet SalesxAssets
Net Sales AssetsEquity
ROE=200,000x2,000,000x1,000,000
2,000,0001,000,000 800,000
ROE= 0.25 or 25 %
ROE will be decreased due to increase in equity.
Time Value of Money
Question:
Greme Smith has to receive $200,000 five years from now and $100,000 seven years from now from an investment he has made. The nominal rate of interest prevailing is 12% per annum. Calculate the aggregate present value of both future cash flows for Mr. Smith.
Solution:
C1 = $ 200,000t1 = 5 years
C2 = $ 100,000t2 = 7 years
r = 12% p.a.
Aggregate Present Value =?
Calculate the present value for the first cash inflow;
PV0 =C1 / (1+ r) t1
PV0 =200,000 / (1+0.12)5
PV0 =200,000 / (1.12)5
PV0 =200,000 / 1.762
PV0 =$ 113,507.38
Now calculate the present value for the second cash inflow;
PV0 =C2 / (1+ r) t2
PV0 =100,000 / (1+0.12)7
PV0 =100,000 / (1.12)7
PV0 =100,000 / 2.210
PV0 =$ 45,228.4
The aggregate present value = $ 113,507.38 + $ 45,228.4
= $ 158735.78
Bond Valuation
Lahey Industries has a $1,000 par value bond with an 8% coupon interest rate outstanding. The bond has 12 years remaining to its maturity date.
a)If interest is paid annually what is the value of the bond when the required rate of return is
(i)5 percent
(ii)10 percent?
b)Indicate for each case in (a) whether the bond is selling at a discount, at a premium or at its par value with arguments.
Bond Valuation
Solution:
Face Value = $ 1,000
Coupon Rate = 8 %
t = 12 years
a) (i)
C = Face Value x Coupon Rate
C = 1000 x 0.08
C = $ 80
r = 5 %
Now,
PV0 = C x [ 1-1/(1+r)t ] /r + F / (1+r)t
PV0 = 80 x [ 1-1/(1+0.05)12 ] /0.05 + 1000 / (1+0.05)12
PV0 = 80 x [ 1-0.56] /0.05 + 1000 / (1.05)12
PV0 = 80 x [ 8.8] + 1000 / 1.7958
PV0 = 704 + 556.85
PV0 = $ 1260.85
b) Bond is selling at premium because PV0 Face Value
a) (ii)
r = 10 %
PV0 = C x [ 1-1/(1+r)t ] /r + F / (1+r)t
PV0 = 80 x [ 1-1/(1+0.10)12 ] /0.10 + 1000 / (1+0.10)12
PV0 = 80 x [ 1-0.318] /0.10 + 1000 / (1.10)12
PV0 = 80 x [ 6.815] + 1000 / 3.138
PV0 = 545.2 + 318.67
PV0 = $ 863.87
b) Bond is selling at discount because PV0 Face Value
Stock Valuation
Ewalds Company current stock price is $36 and last dividend paid was $ 2.40. In view of Ewalds strong financial position and its consequent low risk, its required rate of return is only 12%. If dividends are expected to grow at a constant growth, g, at 8% in the future, and if required rate of return is expected to remain same, what is the Ewalds stock value?
Solution:
Market Price = $ 36
Dividend D0= $ 2.40
R = 12%
g = 8%
P0 = ?
P0 = D0 [1+g] / R - g
P0 = 2.40[1+0.08] / 0.12 – 0.08
P0 = 2.592 / 0.04
P0 = $ 64.8
Question No: 1 ( Marks: 1 ) - Please choose oneA series of constant, or level, cash flows that occur at the end of each period for some fixed number of periods is called a/an:
► / Present Value
► / Future Value
► / Ordinary Annuity
► / Ordinary Share
Question No: 2 ( Marks: 1 ) - Please choose one
The Ratios showing the ability of a firm to pay its bills in short-run are called:
► / Leverage Ratios
► / Liquidity Ratios
► / Profitability Ratios
► / Market Value Ratios
Question No: 3 ( Marks: 1 ) - Please choose one
GAAP stands for:
► / Generally Accepted Accounting Principles
► / Generally All-rounder Accounting Principles
► / General Accepting Accounts Principles
► / None of the given options
Question No: 4 ( Marks: 1 ) - Please choose one
A contract between the bond issuer and bond holder is called:
► / Bond Indenture
► / Bond Debenture
► / Bond Value
► / None of the given options
Question No: 5 ( Marks: 1 ) - Please choose one
Suppose you have a portfolio comprised of two securities X and Y. In the portfolio, 60 shares are of stock X valued at Rs.10 per share and 40 shares are of stock Y valued at Rs.3 per share. What is the approximate weight of stock X in the portfolio?
► / 23 %
► / 40 %
► / 60 %
► / 83 %
Question No: 6 ( Marks: 1 ) - Please choose one
In which market, previously issued securities are traded among investors?
► / Primary Market
► / Secondary Market
► / Tertiary Market
► / None of the given options
Question No: 7 ( Marks: 1 ) - Please choose one
Which of the following is the present value of a series of future net cash flows that will result from an investment, minus the amount of the original investment?
► / Present Value
► / Future Value
► / Net Present Value
► / Terminal Value
Question No: 8 ( Marks: 1 ) - Please choose one
You earn a 5 percent real return. If the inflation rate is 4 percent, what is your nominal return?
► / 8.96 %
► / 9.05 %
► / 9.20 %
► / 9.92 %
Question No: 9 ( Marks: 1 ) - Please choose one
Fee paid to the consultant for evaluating the option of launching a new product will be considered as:
► / Sunk Cost
► / Opportunity Cost
► / Financing Cost
► / Operating Cost
Question No: 10 ( Marks: 1 ) - Please choose one
A risk that affects a single or at most a small number of assets is called:
► / Unsystematic Risk
► / Unique Risk
► / Diversifiable Risk
► / All of the given options
Question No: 11 ( Marks: 1 ) - Please choose one
What will be the payback period of a Rs.70,000 investment with the following cash inflows?
Years / Cash flows
1 / Rs. 15,000
2 / Rs. 20,000
3 / Rs. 25,000
4 / Rs. 15,000
5 / Rs. 5,000
► / 3.57 years
► / 3.67 years
► / 4.57 years
► / 4.67 years
Question No: 12 ( Marks: 1 ) - Please choose one
Which of the following is the required return on a firm's debt by its creditors?
► / Cost of Equity
► / Cost of Debt
► / Cost of Preferred Stock
► / Cost of Capital
Question No: 13 ( Marks: 1 ) - Please choose one
Which one of the followings is the overall required return the firm must earn on its existing assets to maintain the value of the stock?
► / AAR (Average Accounting Return)
► / IRR (Internal Rate of Return)
► / MIRR (Modified Internal Rate of Return)
► / WACC (Weighted Average Cost of Capital)
Question No: 14 ( Marks: 1 ) - Please choose one
The costs to store and finance the assets are known as:
► / Carrying Costs
► / Shortage Costs
► / Manufacturing Costs
► / None of the given options
Question No: 15 ( Marks: 1 ) - Please choose one
The minimum level of inventory that a firm keeps on hand is called:
► / Common stock
► / Safety Stock
► / Preferred Stock
► / Dangerous Stock
Question No: 16 ( Marks: 1 ) - Please choose one
Realization Principle is one of the basic principles of GAAP.
► / True
► / False
Question No: 17 ( Marks: 1 ) - Please choose one
Whenever the word Dividend is used, it always refers to a long-term loan.
► / True
► / False
Question No: 18 ( Marks: 1 ) - Please choose one
A preferred dividend is exactly like interest on bond.
► / True
► / False
Question No: 19 ( Marks: 1 ) - Please choose one
By IRR rule, take a project when its IRR exceeds the required return.
► / True
► / False
Question No: 20 ( Marks: 1 ) - Please choose one
Diversification is the group of assets such as stocks and bonds held by investor.
► / True
► / False
Question No: 21 ( Marks: 1 )
______ is a special case of Annuity, where the stream of cash flows continues forever.
Question No: 22 ( Marks: 1 )
______is the value of a present amount at a certain date in the future based on a determined rate of return.
Question No: 23 ( Marks: 1 )
The amount of time required for an investment to generate cash flows sufficient to recover its initial cost is called its ______.
Question No: 24 ( Marks: 1 )
______ refers to the extent to which a firm relies on its debt.
Question No: 25 ( Marks: 1 )
The difference between the return on a risky investment and that on a risk free investment is called ______.
Question No: 26 ( Marks: 3 )
What is the difference between Flexible Policy and Restrictive Policy regarding size of investment in current assets while making short-term financial policy?
Question No: 27 ( Marks: 3 )
Differentiate between Systematic Risk and Unsystematic Risk. Which of them can be eliminated by diversification?
Question No: 28 ( Marks: 3 )
Suppose common stocks of a company are currently selling for Rs.30 per share. Stock market analysts estimated a dividend of Rs.2 per share for the next year and it is expected that the dividend will grow by 10% more or less indefinitely. What return does this stock offer?
Question No: 29 ( Marks: 3 )
A bank is offering 12% interest rate compounded quarterly on its saving account. What would be the Effective Annual Rate (EAR) ?
Question No: 30 ( Marks: 3 )
“An investment is acceptable if the IRR exceeds the required return. It should be rejected otherwise.” Explain.
Question No: 31 ( Marks: 10 )
Sumi Inc. has outstanding Rs.1, 000- face –value bond with a 16 percent coupon rate and 6 years remaining until final maturity. Interest payments are made quarterly. What would be the value of this bond if your nominal annual required rate of return is : (i) 13 %, (ii) 19 %.
Question No: 32 ( Marks: 10 )
S&T Company just paid a dividend of Rs.2 per share and has a share price of Rs.30. The dividends are expected to grow @ 10% forever. S&T Company has Rs.75 million in equity and Rs.75 million in debt in its total capital. The tax rate for the firm is 35% and the Cost of debt is 8%. What will be the Weighted Average Cost of Capital (WACC) for S&T Company ?