A railroad company is required to pay 79,860, which is due three years from now. The company invests 15,000 in a bond with modified duration 1.80, and 45,000 in a bond with modified duration Dmod, to Redington immunize its position against small changes in the yield rate. The annual effective yield rate for each of the bonds is 10%. Calculate Dmod.

Your goal is to have $2,000,000. you have a total of $40,000 today. you invest the $40,000 and want to add to it each month. at 10% annual interest, how much do you need to invest each month in order to bring the total up to $2,000,000 30 years from now?

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

At december 31, 2016, pina corporation had the following stock outstanding. 10% cumulative preferred stock, $100 par, 107,810 shares $10,781,000 common stock, $5 par, 4,026,000 shares 20,130,000 during 2017, pina did not issue any additional common stock. the following also occurred during 2017. income from continuing operations before taxes $21,950,000 discontinued operations (loss before taxes) $3,505,000 preferred dividends declared $1,078,100 common dividends declared $2,300,000 effective tax rate 35 % compute earnings per share data as it should appear in the 2017 income statement of pina corporation