Ans.
|
$
|
Sales
|
850000
|
Cost of goods sold
|
425000
|
gross profit
|
425000
|
depreciation
|
50000
|
interest expense
|
30000
|
tax
|
212500
|
net income
|
132500
|
Cash flow
|
|
net income
|
132500
|
depreciation
|
50000
|
cash flow
|
182500
|
2) Company A has an equity multiplier of 1.65,
total asset turnover of 1.8 and a profit margin of 6 percent, what is the
company's return on equity? What is the debt-equity ratio?
Ans. Equity multiplier = 1.65
Asset turn over= 1.8
Profit margin = 6%
Return on equity=?
Debt to equity=?
Asset turn over= sales/assets
Profit margin= net income/ sales
Equity multiplier= assets/ shareholder’s
equity
Due to in suffient information, not
possible to measure the return on equity and debt to equity.
3) Calculate the sustainable growth rate for
Company A: Profit margin is 11%, Capital intensity ratio is .7, Debt Equity
ratio is .6, Net income is $120,000, and Dividends are $35,000.
Ans.
Profit margin= 11%
Capital intensity= 0.7 = assets/ sales
Debt to equity ratio= 0.6= debt / equity
Net income= 120000
Dividend = 35000
SGR=?
Dividend payout ratio= dividend / net
income= 35000/120000=0.29
Sales= 1090909
Assets= 763636
ROE= s/assets*net income/sales*dividend
/ equity
ROE= 1.42*0.11*0.6= 9.372%
SGR= Roe*(1-Dividend payout ratio)
SGR= 6.65%
4) Calculate the DuPont Identity for Company
B. The relevant financial information is as follows:
Sales $300,000
Cost of Sales, $125,000
Depreciation $10,000
Interest Paid $2,000
Tax Rate 35%
Dividends $12,500
Retained Earnings $15,000
Ans. net income=
58000
After paying all its
dividends, company also have enough income to bear all its expenses. But there
is lack of information due to which company is unable to measure the ROE which
show DuPont Identity for Company B.
5) You want to retire when you are 55 years
old. You will need $2,000,000 in order to do so. Assume you are 22 years old
now and the average rate of return is 9% per year. How much will you need to
invest each year in order to retire?
Ans. for meeting the required
limit of investment, you have to invest every year almost 3.5% returns, as
2000000*0.035=70000*30=2100000. Because 30 years more required to meet the
limit of retirement.
6) based on problem
5, assume you have $50,000 to invest now. How much will that be worth when you
are ready to retire?
Ans. if annually we invest $50000 then
we have to invest almost 3.5% return to meet the requirement of retirement in
30 years.
7) You want to purchase a new car when you
graduate from college. The interest rate for graduates is 7.9%, the car costs
$35,000 and the finance company requires that you pay 10% down when you
purchase the car. Your loan will be for 5 years, payable monthly. What is your
car payment?
Ans.
interest rate
|
7.90%
|
car cost
|
$35,000
|
down payment
|
$3,500
|
loan duration
|
5 years
|
total payment of car
|
$38,500
|
8) Company B has 7 percent coupon bonds on the
market with nine years left to maturity. The bonds make annual payments. If the
bonds currently sell for $1038.50, what is the yield to maturity?
Interest rate C
|
7%
|
face value
|
1111.19
|
price value
|
1038.5
|
Year of maturity
|
9 years
|
|
C+(F-P/n)/f+p/2
|
YTM
|
0.75%
|
9) Company A issued 20-year bonds one year
ago. The coupon rate is 6.1 percent. The bonds make semiannual payments. If the
yield to maturity is 5.3%, what is the current bond price?
Ans.
Current price= YTM*n*c
Current price= 5.3*20*6.1= $646
10) Company C has bonds on the market with
10.5 years to maturity, a yield to maturity of 8.4 percent and a current price
of $945. The bonds make payments every six months. What is the coupon rate of
the bond?
Ans. coupon rate= YTM*p/n
Coupon rate= 7.65%
11) Company A pays a dividend of $3.20 on its
common stock. The dividend is paid at the end of the year. The finance
department believes it can increase the dividend by 6% every year. If the
market demands that this stock earn 12%, what is the current share price?
Ans. current Price of share= D/r-g
Price of share= 3.20/12%-6%= $53.33
12) Company B has an EPS of $4.23 and the
benchmark PE for this type of company is 22. Earnings are expected to grow at a
7 percent per year. What is your estimate for the current price of the stock?
What is the target stock price in one year? Assuming no dividends, what is the
implied return on the company's stock?
Ans. Stock price=?
EPS= 4.32
Price earnings ratio= 22
Growth= 7%
Stock price= PE/EPs= 22/4.32= 5.09
Target stock price = 6 due to growth in
earning
Return on company stock = due to 7%
growth rate, the eps, stock price and price earnings ratio everything is going
to increase.
13) Company A wants to do a project. The
project will provide an annual cash flow of $2,100 for 9 years and costs $8,000
today. The company requires a return of 7.5% on any project it does. Does this
project meet its requirements?
Ans. yes project meet its requirements as it give return in long term basis and
give an annual cash flow more than the actual invested amount so it become
profitable for the company.
14) Company B wants to establish a new
division. According to its analysis, the division will provide a net cash flow
of $109,000 for the first year. The net cash flow is projected to grow at a
rate of 5.1% for the foreseeable future. The project requires an initial
investment of $1,425,000. Company B's shareholders require a rate of return of
12%. Should the division be established?
Ans. yes, this division can be establish as with the heavy investment,
shareholders can get high amount of return. And the net cash flow also provides
a suffient increase at annual basis.
15) Company P wants to develop a new product.
The company paid for a marketing study. The study cost $120,000. The projected
sales are $725,000 per year. The fixed costs are $187,000 per year. Variable
costs are equal to 20% of sales. The company must buy new equipment, which
costs $835,000. It will be depreciated for four years using the straight line
method. Assume no salvage value. Company P is in the 40% tax bracket. The
company has a policy that requires 13% return. What is the payback period, NPV,
and IRR?
Ans. Payback period:
Payback period= investment/ net cash
inflow
Net cash inflow= sales- all costs= 725000-187000-145000-208750-181250=
3000
Payback period= 835000/3000=278.3
NPV= R*1-(1-i)-n /i- initial
investment
NPV= 3000*1-(1-0.13)-4 /0.13-
835000= -794718
IRR is less than required return , at
this level the /npv is consider as zero.
16) You own a portfolio equally invested in a
risk-free asset and two stocks. If one stock has a beta of 1.42 and the total
portfolio is equally as risky as the market, what is the beta for the other
stock in your portfolio?
Ans. due to same risk option, the second stock beta is same as 1.42 according
to equal risky market conditions.
17) You have $250,000 to invest in a stock
portfolio. Your choices are Stock A with an expected return of 13.5%, Stock B
with an expected return of 9.8%. If your goal is to create a portfolio with an
expected return of 11.4%, how much will you invest in each stock?
Ans. if you want to get expected return of 11.4% from each stock than you have
to invest equal amount in all stock portfolio and get the same expected return
from both stocks. $125000 amount almost consider for the investment.
18) Company B has the following capital
structure:
Debt: 10,000 bonds paying 6.9%. 15 years left
to maturity. Quoted price of 104. The interest is paid semiannually.
Common Stock: 270,000 shares selling for
$68.50 per share. The stock has a beta of .85 and will pay a dividend of $3.25
next year. The dividend will grow by 5%.
Preferred Stock: 8,000 shares of 4.9%
preferred stock selling at $94 per share.
Market: 12% expected return, risk free rate of
3.5% and 35% tax bracekt.
What is the Weighted Average Cost of Capital??
Ans. WACC=
E/E+D+P*re+D/E+D+P*(1-t)*rd+P/E+D+P*rp
Where re=
rf+b*(rm-rf)
Re= 78.3%
Rd= 44.85%
Rp= 4.9%
WACC=
68.50/266.5*0.783+104/266.5*0.4485+94/266.5*0.049
WACC= 39.3%
19) Big Bank B offers your company $20,000,000
loan with an interest rate of 7%. The bank requires that you hold 4% of the
borrowed amount in a non interest earning account at the bank. What is the
effective annual interest rate?
Ans. amount that hold in account = $800000
Amount of loan = $20000000
the effective annual interest rate= almost 5% against the amount of loan.
20) Company B has annual credit sales of
$25,600,000. The average collection period is 45 days. What is the average
balance in Accounts Receivable?
credit sales
|
25600000
|
average collection period
|
45 days
|
Balance account receivables
|
?
|
average collection period
|
365/asset turn over
|
account receivable turn over
|
365/45=8.11
|
account receivable turn over
|
sales / account receivable
|
account receivable
|
sales /account receivable turn over
|
account receivable
|
25600000/8.11=3156596.79
|