BREAKEVEN AND LEVERAGE Wingler Communications Corporation (WCC) produces premium
ID: 2791049 • Letter: B
Question
BREAKEVEN AND LEVERAGE
Wingler Communications Corporation (WCC) produces premium stereo headphones that sell for $28.60 per set, and this year's sales are expected to be 450,000 units. Variable production costs for the expected sales under present production methods are estimated at $10,100,000, and fixed production (operating) costs at present are $1,560,000. WCC has $4,800,000 of debt outstanding at an interest rate of 7%. There are 240,000 shares of common stock outstanding, and there is no preferred stock. The dividend payout ratio is 70%, and WCC is in the 40% federal-plus-state tax bracket.
The company is considering investing $7,200,000 in new equipment. Sales would not increase, but variable costs per unit would decline by 20%. Also, fixed operating costs would increase from $1,560,000 to $1,800,000. WCC could raise the required capital by borrowing $7,200,000 at 10% or by selling 240,000 additional shares of common stock at $30 per share.
What would be WCC's EPS (1) under the old production process, (2) under the new process if it uses debt, and (3) under the new process if it uses common stock? Do not round intermediate calculations. Round your answers to the nearest cent.
1. $
2. $
3. $
At what unit sales level would WCC have the same EPS assuming it undertakes the investment and finances it with debt or with stock? {Hint: V = variable cost per unit = $8,080,000/450,000, and EPS = [(PQ - VQ - F - I)(1 - T)]/N. Set EPSStock = EPSDebt and solve for Q.} Do not round intermediate calculations. Round your answer to the nearest whole.
units
At what unit sales level would EPS = 0 under the three production/financing setups - that is, under the old plan, the new plan with debt financing, and the new plan with stock financing? (Hint: Note that VOld = $10,100,000/450,000, and use the hints for part b, setting the EPS equation equal to zero.) Do not round intermediate calculations. Round your answers to the nearest whole.
Old plan units
New plan with debt financing units
New plan with stock financing units
On the basis of the analysis in parts a through c, and given that operating leverage is lower under the new setup, which plan is the riskiest, which has the highest expected EPS, and which would you recommend? Assume here that there is a fairly high probability of sales falling as low as 250,000 units, and determine EPSDebt and EPSStock at that sales level to help assess the riskiness of the two financing plans. Do not round intermediate calculations. Round your answers to two decimal places. Negative amount should be indicated by a minus sign.
EPSDebt = $
EPSStock = $
Explanation / Answer
Ans 1. Calculation of EPS under old system debt option equity option
Sales $12870000 $12870000 $12870000
v/c $1010000 $8080000 $8080000
contribution $2770000 $4790000 $4790000
f/c $1500000 $1800000 $1800000
operating income $1210000 $2990000 $2990000
Intt exp. $336000 $1056000 $336000
PBT $874000 $1934000 $2654000
Tax @40% $349600 $773600 $1061600
PAT $524400 $1160400 $1592400
No of share 240000 240000 480000
EPS $2.185 $4.835 $3.3175
2. Calculation of no of unit to be sold if both the option eps is same
Difference of fixed cost due to interest exp is
Intt exp for debt option is $1056000
Intt exp for equity option is $336000
Difference between intt exp $720000
total intt exp for 1st option $1056000
Add: Differnece amt $720000
Total exp. $1776000
Add: Fixed cost $1800000
Total fixed cost $3576000
Pv ratio 37.22
Sales value $3576000/.3722 = 9607738
Value per unit $17.50
No of unit sold = $9607738/17.50 = 549014 units
For verifed
debt option equity option
Contribution (9607738X.3722) $3576000 $3576000
less: Fixed cost $1800000 $1800000
Less: intt cost $1056000 $336000
PBT $720000 $1440000
Tax $288000 $576000
PAT $432000 $864000
No of share o/s $240000 $480000
EPS $1.80 $1.80
Calculation of Break even point
old method Debt option equity option
Fixed cost $1896000 $2856000 $2136000
Cont per unit 6.16 10.64 10.64
BEP point 307792 units 268421 units $200752 units
cont per unit for old method 28.60- (10100000/450000) = 6.16
new method 28.60 (8080000/450000) =10.64
d. Highest eps in debt option, this is high leverage option because interest expenses is more as compair of Equity option.
calculation of EPS at 250000 units
Debt option Equity option
Contribution (250000X10.64) $2660000 $2660000
Fixed cost $2856000 $2136000
PBT -$196000 $524000
Tax - $209600
PAT -$196000 $314400
No of share 240000 $480000
EPS -$.82 $.655
In This sales level Equity option is better as compair of debt option, because debt option is having high leverage.
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