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ECON1008 FORMULAS
FORMULAS FOR ECON1008
| Term | Definition |
|---|---|
| First principles | f’(x)= f(x+h)-f(x)/h |
| Arithmetic series formula | a + (n-1)d |
| Arithmetic series sum | n/2(2a + (n-1)d) |
| Geometric series formula | ar^n-1 |
| Taylors linear approximation | x = a f(x) = f(a) + f'(a)f(x -a) |
| Discrete compound interest formula | F = P(1 + i/n)^nt |
| Effective annual rate of interest | F = P(1 + i/n)^n -1 |
| Present value for an infinite series of future payments | P = F/i |
| Market price of a perpetual bond | Pb = C/i |
| Continuous compound growth | Pe^it |
| Effective annual rate of interest continuously compounded growth | e^i - 1 |
| Differential equations general solution | Ae^bt - c/b |
| Differential equation unique solution | (y0 + c/b)e^bt - c/b |
| Chain rule | u'v' |
| Product rule | uv' + vu' |
| Quotient rule | vu' - uv' / v^2 |
| Arc elasticity | %change x / %change y |
| Point elasticity | dy/dx(x0/y0) |
| Geometric series sum | a(1 - r^n)/(1 - r) or a/(1-r) when |r| < 1 |
| Lagrangian | L = f(x,y) - lamda{g(x,y) - c } |