On January 2, 2018, Ava Co. issued at face value $53,300 of 9% bonds convertible in total into 9,649 shares of Ava's common stock. No bonds were converted during 2018. Throughout 2018, Ava had 10,000 shares of common stock outstanding. Ava's 2018 net income was $120,226. The income tax rate is 30%. No potential common shares other than the convertible bonds were outstanding during 2018. The numerator in the diluted earnings per share calculation for 2018 would be: $

$123,583.90

Explanation:

Given the following Parameters,

Net income = $120,226,

Interest rate = 9%

Tax = 30%

The following formula then applies,

Diluted EPS = (Net income + Interest after tax)/Total outstanding shares outstanding

Now, Interest(Before tax) = $53,300 * 0.09 = $4797

Now we have to calculate it After Tax

= 4,797 (1-tax rate)

= 4,797(1-0.3)

= $3,357.90

The numerator is,

= (Net income + Interest after tax)

= 120,226 + 3,357.90

= $123,583.90

The numerator in the diluted earnings per share calculation for 2018 would be $123,583.90

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.