ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.37 : A biochemical engineering professional applies 5-step Du Pont formula in the accounting. Let Net Income = A, Earning Before Tax (EBT) = B, Earning Before Interest, Tax (EBIT) = C, Net Sales = D, Total Assets = E, Shareholders Equity = F. Let Tax Burden = A / B = 0.75, Interest Burden = B / C = 1.05, EBIT Margin = C / D = 0.27, Asset Turnover = D / E = 0.66, Return on Equity = A / F = 0.37. (a) Calculate the value of Leverage = E / F. (b) If AB + BC + CD + DE + EF = $$ 141932, find the values of A, B, C, D, E and F.
ACCOUNTING AND FINANCIAL ENGINEERING - ANSWER 34.37 : (a) Leverage = E / F = (A / F) / [ (A / B) (B / C) (C / D) (D / E) ] = 0.37 / [ (0.75) (1.05) (0.27) (0.66) ] = 2.6366. (b) Let 6 simulteneous equations with 6 unknowns could be formed where A / B = 0.75, B / C = 1.05, C / D = 0.27, D / E = 0.66, AB + BC + CD + DE + EF = 141932 = G. Simple computer programming could be used to perform trial-and-error calculation. For example, DATA : What-if Analysis : Goal Seek in Excel 2013 is able to set the value of G to 141932 by changing the value of A, B, C, D, E or F. Finally A ≈ $48, B ≈ $64, C ≈ $61, D ≈ $226, E ≈ $342, F ≈ $129. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.20 : Assume an engineer buys a $1 bond in period T while the nominal interest rate is R. The inflation rate at T + 1 is anticipated to be I. (a) If the bond is redeemed in period T + 1, how much money will the buyer engineer receive, in term of R, which is not affected by inflation? (b) Find the present value, PV of the proceeds from the bond, in term of R and I. (c) If the bond is redeemed in period T + 1, calculate the real growth or real value of the money that the buyer engineer will receive, in term of r = real interest rate, which is affected by inflation. (d) From the answers in (b) and (c), find the values of x, y and z in the following Fisher equation : (1 + x) = (1 + y) / (1 + z), in term of r, R and I.
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