In: Finance
Please solve all answers on Excel and show step by step how you get the WACC answer.
Tornado Motors is a major producer of sport and utility trucks. It is a family owned company,
started by Jane Biscayne in 1935, at the height of the Great Depression. Today the firm produces 3 lines
of trucks. These include a standard, no-frills short bed pickup truck (Model A), a mid-size version
(Model B
)
and a larger, heavy-duty work truck (Model C). Janet Biscayne, the founder’s grand-daughter
is the current CEO. She has asked you to provide a financial analysis of an idea that originated in the
company’s engineering department. The engineers have developed a “green” version of the smallest of
Tornado’s trucks – Model A. The green version would be made of recycled materials and would run on a
hybrid engine. Based on the results of a large market analysis, the CEO believes that there would be a
sizable demand for the green version of the Model A truck. Tornado pays an average tax rate of 40%. It
requires a 15% return on investments of this character.
The engineering department estimates that it would cost $40 million to purchase the additional
equipment necessary to convert an existing facility to production of the green trucks. This equipment is
expected to last 5 years and could be sold as salvage for $2 million at the end of its useful life. The full
cost of the equipment will be depreciated on a straight-line basis over 5 years. The marketing department
estimates that with a sticker price of $35,000 sales of the green trucks would be 6,000, 7,500, 8,000,
8,500 and 8,700 in each of the next five years. The green trucks are expected to cost $29,500 each to
produce. In addition, fixed costs associated with the production of the new trucks would be $15 million
per year and the truck production would require an additional initial one-time investment in Net Working
Capital of $5 million.
In addition, you are given the following information:
o
The company spent $4 million developing a prototype for the hybrid engine that would
be used in the green truck. In addition, the company spent $5 million on a marketing
study to evaluate demand for the green version.
o
The marketing department warns that it expects that production of the green trucks would
adversely affect sales of the current standard version of the Model A trucks as some of
the buyers who would have bought the standard model will be attracted to the green
version. The standard version costs $24,500 to produce and sells for $29,000. If the
green version is not introduced, the company expects to sell 9,000 units per year for the
next five years. However, with competition from the green version, annual sales of the
standard version are expected to decline by 500, 700, 1,000, 1,200 and 1,500 units in
each of the next 5 years. Furthermore, marketing expects that the company will have to
lower the price by $1,000 in order to achieve this level of sales.
o
The company’s stock is currently sold at $20.00 per share. It paid $2 dividend per share
last year. It is expected that the dividend growth rate will be 5% each year in the future.
The company’s bond has a 6-year bond outstanding. It is currently priced at $906.15. The
bond pays 6% coupon semi-annually. The par value of the bond is $1,000. The
company’s market value debt-equity ratio is 0.5 (D/E=0.5)
Calculation of WACC |
Cost of equity |
Using constant growth model of dividends to estimate cost of equity, |
ke=(Next Dividend/Current market price)+Growth rate (of dividends) |
where, Next dividend=D0*(1+g)=2*(1+0.05)=2.1 |
ie.(( 2*1.05)/20)+5%= |
15.50% |
After-tax cost of bond |
Using the formula to find the present value,ie.current market Price of bonds, |
Price=PV of its future cash flows=PV of all its future coupon cash flows+PV of face value to be received at maturity----both discounted at the effective cost of debt (which we need to find out) |
Price of the bond=(Pmt.*(1-(1+r)^-n)/r)+(FV/(1+r)^n) |
where, price is given as $ 906.15 |
Pmt.= The semi-annual coupon in $ , ie. 1000*6%/2= $ 30 |
r= the effective rate of interest or YTM --that we need to find----?? |
n= no.of coupon period still to maturity, ie. 6 yrs. *2= 12 |
FV= face value, ie. $ 1000 |
So, plugging in these values in the formula, |
906.15=(30*(1-(1+r)^-12)/r)+(1000/(1+r)^12) |
Solving for r, we get the semi-annual before-tax cost/Yield as |
3.9999% |
Now, the annual before-tax yield/cost= |
(1+3.9999% )^2-1= |
8.1598% |
so, the annual After-tax cost of the bond= |
Before-tax cost*(1-Tax Rate) |
8.1598%*(1-40%)= |
4.90% |
Now, the |
WACC= (Wtd.*kd)+(wt.e*ke) |
ie.(0.5/1.5*4.90%)+(1/1.5*15.5%)= |
11.97% |
NPV analysis | ||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 |
1.Cost of addl. Eqpt. | -40000000 | |||||
2.NWC reqd. & recovered | -5000000 | 5000000 | ||||
3.After-tax salvage(2000000*(1-40%)) | 1200000 | |||||
4.Sales volume | 6000 | 7500 | 8000 | 8500 | 8700 | |
5.Sales $ at $ 35000 each | 210000000 | 262500000 | 280000000 | 297500000 | 304500000 | |
6.Cost to produce at $ 29500 each | -177000000 | -221250000 | -236000000 | -250750000 | -256650000 | |
7.Fixed costs | -15000000 | -15000000 | -15000000 | -15000000 | -15000000 | |
8.Depreciation(40 mln./5) | -8000000 | -8000000 | -8000000 | -8000000 | -8000000 | |
9.Cannibaliastion effect(due to redn. In contn.) (separate table) | -10750000 | -11450000 | -12500000 | -13200000 | -14250000 | |
10.Incremental EBT (sum 5 to 9) | -750000 | 6800000 | 8500000 | 10550000 | 10600000 | |
11.Incl.Tax at 40%(10* 40%) | 300000 | -2720000 | -3400000 | -4220000 | -4240000 | |
12.Incl. NOPAT (10+11) | -450000 | 4080000 | 5100000 | 6330000 | 6360000 | |
13.Add Back: depn. (same row 8) | 8000000 | 8000000 | 8000000 | 8000000 | 8000000 | |
14.Incl.Opg. cash flow(12+13) | 7550000 | 12080000 | 13100000 | 14330000 | 14360000 | |
15.Total annual FCFs(1+2+3+14) | -45000000 | 7550000 | 12080000 | 13100000 | 14330000 | 20560000 |
16.PV F at 11.97%(1/1.1197^Yr.n) | 1 | 0.89310 | 0.79762 | 0.71235 | 0.63620 | 0.56819 |
17.PV at 11.97%(15*16) | -45000000 | 6742877.56 | 9635263.1 | 9331818.02 | 9116738.07 | 11681933.2 |
18.NPV (sum of row 17 ) | 1508630 | |||||
19.IRR(of FCF row) | 13.13% |
The project Is RECOMMENDED as it returns POSITIVE NPV when the projected CFs are discounted at the WACC of 11.97%
As it is given in the question that | ||||||
the CEO requires a 15% return on investments of this character. | ||||||
the NPV is calculated as below | ||||||
15.Total annual FCFs(1+2+3+14) | -45000000 | 7550000 | 12080000 | 13100000 | 14330000 | 20560000 |
16.PV F at 11.97%(1/1.1197^Yr.n) | 1 | 0.86957 | 0.75614 | 0.65752 | 0.57175 | 0.49718 |
17.PV at 11.97%(15*16) | -45000000 | 6565217.39 | 9134215.5 | 8613462.64 | 8193224.01 | 10221953.7 |
18.NPV (sum of row 17) | -2271927 |
Workings:
Cannibalisation effect | ||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 |
1.Normal sales volume | 9000 | 9000 | 9000 | 9000 | 9000 | |
2.Sales $ at 29000/unit | 261000000 | 261000000 | 261000000 | 261000000 | 261000000 | |
3.V.C( 1* 24500/each) | -220500000 | -220500000 | -220500000 | -220500000 | -220500000 | |
4.Contribution(2+3) | 40500000 | 40500000 | 40500000 | 40500000 | 40500000 | |
5.Reduction/cannibalised units | 500 | 700 | 1000 | 1200 | 1500 | |
6.Reduced volume(1-5) | 8500 | 8300 | 8000 | 7800 | 7500 | |
7.Sales $ at 28000/unit | 238000000 | 232400000 | 224000000 | 218400000 | 210000000 | |
8.V.C (6* 24500/each) | -208250000 | -203350000 | -196000000 | -191100000 | -183750000 | |
9.Contribution(7+8) | 29750000 | 29050000 | 28000000 | 27300000 | 26250000 | |
10.Reduction in contn.(4-9) | 10750000 | 11450000 | 12500000 | 13200000 | 14250000 |