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Engineering economics. Interest Time value of money Evaluating economic alternatives Breakeven economics. Interest . Interest = total amount owed – principal amount (12.1). (12.2). Interest = (principal)(number of interest periods)(interest rate). (12.3). = Pni . F = ?. P. period.
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Engineering economics • Interest • Time value of money • Evaluating economic alternatives • Breakeven economics
Interest Interest = total amount owed – principal amount (12.1) (12.2) Interest = (principal)(number of interest periods)(interest rate) (12.3) = Pni
F = ? P period 0 1 2 3 4 n-2 n-1 n Single payment compound amount (12.4) (12.5)
F P=? period 0 1 2 3 4 n-2 n-1 n Single payment present worth (12.6)
Uniform series compound amount P = ? A A A A A A A period n-2 n-1 n 0 1 2 3 4 (12.7)
P A=? A A A A A A period n-2 n-1 n 0 1 2 3 4 Capital recovery (12.8)
Nominal interest i = effective interest rate r = nominal interest rate m = interest periods per year y = number of years (12.9) (12.10)
F = ? A A A A A A A period 0 1 2 3 4 n-2 n-1 n Uniform series compound amount (12.11) (12.12)
F A=? A A A A A A period 0 1 2 3 4 n-2 n-1 n Uniform series sinking fund (12.13)
A+(n-1)G A+(n-2)G A+(n-3)G P = ? A+4G A+3G A+2G A period n-2 n n-1 0 1 2 3 4 Gradient series (12.14) (12.15) (12.16)
Present worth method (12.17) (12.18)
years 0 1 2 3 4 5 6 $45,000 $45,000 years 0 1 2 3 4 5 6 least common multiple $30,000 $30,000 $30,000 Least common multiple
Future worth method (12.19) (12.20) (12.21)
Equivalent annual worth method (12.22) (12.23)
Rate of return method (12.24)
Simple payback period (12.25)
Discounted payback period (12.26)
R Cost Profit TC breakeven point Loss FC q q* Breakeven quantity Breakeven analysis
Summary • Engineering economic analyses should consider the time value of money • Interest factor formulas and tables are useful in evaluating alternatives • The PW and FW methods can be used to evaluate alternatives having different lives by using the least common multiple of years. • The EUAW method is preferred because it has the advantage of not requiring the use of the least common multiple. • The breakeven point is that level of production (and sales) that results in a zero profit