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Ex 1 A 4- year project has the following annual sales: Year 1 2 3 4 Sales ($) 10

ID: 2803770 • Letter: E

Question

Ex 1

A 4- year project has the following annual sales:

Year                                                        1                           2                          3                             4

Sales ($)                                            100,000                 120,000                 150,000                60,000

If NWC amounts to 10% of the current year’s (same year) sales, calculate:

a)NWC in every year  
b)Delta NWC or the resulting cash flow in every year (be careful with sign of cash flow)

Ex 2

P&G stock has a Beta of 0.8 and IBM stock has a Beta of 1.4.

a) If you want to create a portfolio (P) by investing in both stocks, what should be the proportion or the weight       ?                                             

b) If the expected return for the coming year is 10% for P&G and 15% for IBM, what will be the expected return of your portfolio?                                                                                                                   

Ex 3

GM stock has a Beta of 1.2 and an expected return of 15%. Ford Stock has a Beta of 1.5 and an expected return of 17%.

a)If the risk-free rate is 5%, which stock would you buy?                                                       

b)What would the risk-free rate have to be for the 2 stocks to be correctly priced?                      

c)Draw the Security Market Line (Graph should show GM, Ford Stocks as well as the Market and the new Risk-free rate found in part b)   )

Ex 4

Given the following information related to every year of a 4-year project:

Sales volume = 100 units ;

Unit Selling Price = $9,000 ;

Unit variable cost = $5,000 ;

Cash fixed cost = $100,000 ;

Additional information:

Cost of investment (Capital Spending) = $5,000,000; Depreciation rates are 40% in year 1, 30% in year 2 , 20% in year 3 & 10% in year 4.

a)Calculate the net income in year 3 (Tax rate = 20%)
b)Calculate the OCF in year 3

Ex 5

A Co. is looking at a new system with an installed cost (Capital spending) of $312,000 that can save the firm $96,000 per year during 3 years. This investment will be subject to a 3-year straight line depreciation. At the end of this period, the system can be scrapped (sold) for $48,000. Finally, the system requires an initial investment in net working capital of $22,400. If the tax rate is 30 % and the RRR is 13 %:

a) What is the after-tax salvage value of this system at the end of year 3?
b) What is the annual OCF?
c) Using NPV rule, should the Co. install this new system?   

Explanation / Answer

Example 1

Ex 2

The proportion should be 0.8 to 1.4 i.e 4 : 7

Expected return4*10/11+7*15/11 i.e 13.18%

EX 3

Re : RF +(Rm - Rf )beta    Re : RF +(Rm - Rf )beta

15: 5+(Rm -5)1.2 17: 5+(Rm - Rf ) 1.5

Rm : 13.33% Rm : 13%

hence in GM Stock it should invest

EX 4

  COMPUTATION OF NET INCOME

(b) OCF COMPUTED ABOVE 300000.00

EX 5

(a)

COST 312000

DEP IN 3 YRS 312000

WDV 0

SALE AS SCRAP 48000

PROFIT 48000

LESS: TAX @ 30% 14400

VALUE AFTER TAX 33600   

(b)

ANNUAL OCF $ 96000* .70 i.e $ 67200.00

(c)

31200*2.3612

  

year 1 2 3 4 NWC 10000.00 12000.00 15000.00 6000.00 DELTA NWC 10000.00 2000.00 3000.00 -9000.00
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