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melisa1 [442]
3 years ago
15

Ocean Gate sells external hard drives for $200 each. Its total fixed costs are $30 million, and its variable costs per unit are

$140. The corporate tax rate is 30%. If the economy is strong, the firm will sell 2 million drives, but if there is a recession, it will sell only half as many.

Business
2 answers:
Angelina_Jolie [31]3 years ago
7 0

Answer:

What is the firm's degree of operating leverage?

the degree of operating leverage measures the proportion of fixed costs vs. variable costs

total fixed costs = $30,000,000

contribution margin per hard drive = selling price - variable cost = $200 - $140 = $60

tax rate = 30%

expected sales = 2,000,000 hard drives

degree of operating leverage =  contribution margin / (total sales - total costs) = (2,000,000 x $60) / ($400,000,000 - $280,000,000 - $30,000,000) = $120,000,000 / $90,000,000 = 1.33

DOL = 1.33

If the economy enters a recession, what will be the firm's after tax profit?

firm's EBIT = total revenue - variable costs - fixed costs

  • total revenue = 1,000,000 x $200 = $200,000,000
  • total variable costs = 1,000,000 x $140 = $140,000,000
  • total fixed costs = $30,000,000

EBIT = $200,000,000 - $140,000,000 - $30,000,000 = $30,000,000

firm's after tax profit = EBIT x (1 - tax rate) = $30,000,000 x (1 - 30%) = $21,000,000

firm's after tax profit = $21,000,000

vfiekz [6]3 years ago
3 0

Percentage decline in sales = 50%

Profit in Recession is = $30,000,000

Decline in profit percentage is= 66.67%

Operating leverage is = 1.33 times..

Kindly see attached picture for explanation.

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What happens to the price of a three-year annual coupon paying bond with an 8% coupon when interest rates change from 8% to 6.85
ruslelena [56]

Face Value of bond = $1000

Annual Coupon Payment = $1000*8%

= $80

No of years to maturity(n) = 3 years

When the Market Interest rate was 8%, the Price of the bond will be the same as the Par value which is $1000 because when the Coupon rate and Market Interest rate are the same the Bond sells at par Value.

So, At an 8% Interest rate price is $1000

- Interest rate(YTM) changed to 8.86%

Calculating the Price of Bond:-

Price = \frac{CouponPayment}{(1+YTM)^{1}}+\frac{CouponPayment}{(1+YTM)^{2}}+...+\frac{CouponPayment}{(1+YTM)^{n}}+\frac{FaceValue}{(1+YTM)^{n}}

Price = \frac{80}{(1+0.0886)^{1}}+\frac{80}{(1+0.0886)^{2}}+\frac{80}{(1+0.0886)^{3}}+\frac{1000}{(1+0.0886)^{3}}

Price =$203.008 + $775.166

Price = $978.17

So, when the Interest rate changed to 8.86% the price falls to $978.17

Change in Price due to increase in Interest rate = $978.17 - $1000

= -$21.83

Hence, the price decreased by $21.83

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