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Multivariate analysis formulas
Cov(X,Y) = \frac{\sum_{i=1}^{n} (X_i - \bar{X})(Y_i - \bar{Y})}{n-1}
Factor analysis formulas
F_{K-1,N-K}(A) = \frac{(n-K-1)p_N}{(n-K)p_D}
Time series analysis formulas
ARIMA(p,d,q): (1-\phi_1B-\phi_2B^2-...-\phi_pB^p)(1-B)^dY_t = (1+\theta_1B+\theta_2B^2+...+\theta_qB^q)\epsilon_t
Stochastic calculus formulas
dX_t = \mu dt + \sigma dW_t
Brownian motion formulas
W_t \sim N(0,t)
Ito's lemma formula
df(t, X_t) = (\frac{\partial f}{\partial t} + \mu(t, X_t)\frac{\partial f}{\partial X} + \frac{1}{2}\sigma^2(t, X_t) \frac{\partial^2 f}{\partial X^2})dt + \sigma(t, X_t) \frac{\partial f}{\partial X}dW_t
Black-Scholes-Merton formula
C = S_0N(d_1) - Ee^{-rT}N(d_2)
Actuarial science formula calculator includes a wide range of financial and statistical formulas such as compound interest, present value, future value, annuity, perpetuity, amortization, life insurance, probability distribution, expected value, variance, standard deviation, correlation coefficient, CAPM, beta, Sharpe ratio, Black-Scholes, option pricing models, Monte Carlo simulation, value at risk, Bayes' theorem, moment generating function, and various probability distributions.
It also includes formulas for regression analysis, hypothesis testing, correlation, time series analysis, stochastic calculus, actuarial present value, mortality rates, pensions, annuities, and more. These formulas can be used for various financial and statistical calculations.
1. Supply and demand equation
2. Price elasticity of demand formula
3. Income elasticity of demand formula
4. Cross-price elasticity of demand formula
5. Elasticity of substitution formula
6. Production function formula
7. Total cost formula
8. Marginal cost formula
9. Average cost formula
10. Short-run cost curves formula
11. Long-run cost curves formula
12. Average variable cost formula
13. Average fixed cost formula
14. Marginal product of labor formula
15. Marginal revenue formula
16. Average revenue formula
17. Profit maximization formula
18. Utility maximization formula
19. Indifference curve formula
20. Engel curve formula
21. Production possibilities frontier formula
22. Allocative efficiency formula
23. Pareto efficiency formula
24. Market equilibrium formula
25. Consumer surplus formula
26. Producer surplus formula
27. Deadweight loss formula
28. Gini coefficient formula
29. Lorenz curve formula
30. Cobb-Douglas production function formula
31. Marginal rate of substitution formula
32. Price discrimination formula
33. Herfindahl-Hirschman Index formula
34. Phillips curve formula
35. Okun's law formula
36. Taylor rule formula
37. Z-score formula
38. Cost-benefit analysis formula
39. Discounted cash flow formula
40. Net present value formula
41. Internal rate of return formula
42. Payback period formula
43. Consumer price index formula
44. Producer price index formula
45. Inflation rate formula
46. Unemployment rate formula
47. Real GDP formula
48. Nominal GDP formula
49. GDP deflator formula
50. Consumption function formula
51. Marginal propensity to consume formula
52. Marginal propensity to save formula
53. Multiplier effect formula
54. Aggregate demand formula
55. Aggregate supply formula
56. Price level formula
57. Quantity theory of money formula
58. Money supply formula
59. Velocity of money formula
60. Money multiplier formula
61. Real interest rate formula
62. Nominal interest rate formula
63. Fisher equation formula
64. IS-LM model formula
65. AD-AS model formula
66. Phillips curve formula
67. Government spending multiplier formula
68. Tax multiplier formula
69. Marginal tax rate formula
70. Corporate tax formula
71. Personal income tax formula
72. Value-added tax formula
73. Laffer curve formula
74. Balance of payments formula
75. Current account formula
76. Capital account formula
77. Trade balance formula
78. Exchange rate formula
79. Purchasing power parity formula
80. Law of one price formula
81. Big Mac Index formula
82. Interest rate parity formula
83. Taylor rule formula
84. Open market operations formula
85. Quantitative easing formula
86. Taylor rule formula
87. Mundell-Fleming model formula
88. PPP puzzle formula
89. Expectations-augmented Phillips curve formula
90. Sticky prices formula
91. Monetary policy rule formula
92. Fiscal policy rule formula
93. Debt-to-GDP ratio formula
94. Ricardian equivalence formula
95. Solow growth model formula
96. Harrod-Domar model formula
97. Endogenous growth model formula
98. Cobb-Douglas production function formula
99. Technological progress formula
100. Human capital formula
101. Physical capital formula
102. Total factor productivity formula
103. Neoclassical growth model formula
104. Savings rate formula
105. Investment rate formula
106. Capital stock formula
107. Balanced growth path formula
108. Golden rule savings formula
109. Malthusian trap formula
110. Club convergence formula
111. Conditional convergence formula
112. Absolute convergence formula
113. Relative convergence formula
114. Poverty trap formula
115. High-income trap formula
116. Middle-income trap formula
117. Resource curse formula
118. Total factor productivity formula
119. Cost of flying formula
120. Deadweight loss formula
121. Ability to pay principle formula
122. Progressive tax formula
123. Negative income tax formula
124. Tax wedge formula
125. Laffer curve formula
126. Optimal tax formula
127. Deadweight loss formula
128. Ramsey rule formula
129. Budget deficit formula
130. Public debt formula
131. Fiscal sustainability formula
132. Yardstick competition formula
133. Tiebout model formula
134. Median voter theorem formula
135. Political business cycle formula
136. Rational ignorance formula
137. Median voter theorem formula
138. Swing voter theorem formula
139. Valence politics formula
140. Median voter theorem formula
141. Tullock paradox formula
142. Rational ignorance formula
143. Public choice theory formula
144. Median voter theorem formula
145. Principal-agent problem formula
146. Moral hazard formula
147. Adverse selection formula
148. Asymmetric information formula
149. Signaling theory formula
150. Screening theory formula
151. Brewer's theorem formula
152. Coase theorem formula
153. Tragedy of the commons formula
154. Free rider problem formula
155. Prisoner's dilemma formula
156. Nash equilibrium formula
157. Zero-sum game formula
158. Positive-sum game formula
159. Negative-sum game formula
160. Pareto efficiency formula
161. Nash equilibrium formula
162. Von Neumann-Morgenstern utility formula
163. St Petersburg paradox formula
164. Expected value formula
165. Risk aversion formula
166. Risk neutrality formula
167. Risk loving formula
168. Arrow's impossibility theorem formula
169. Condorcet paradox formula
170. Arrow's theorem formula
171. Homothetic preferences formula
172. Quasilinear preferences formula
173. Giffen goods formula
174. Veblen goods formula
175. Engel's law formula
176. Slutsky equation formula
177. Hicksian demand formula
178. Excise tax formula
179. Lump sum tax formula
180. Proportional tax formula
181. Regressive tax formula
182. Elasticity of taxation formula
183. Tax incidence formula
184. Tax evasion formula
185. Moral suasion formula
186. Tax amnesty formula
187. Tax haven formula
188. Corporate inversion formula
189. Tax competition formula
190. Tax shelter formula
191. Tax avoidance formula
192. Tax planning formula
193. Tax refund formula
194. Tax code formula
195. Tax deduction formula
196. Tax exemption formula
197. Tax deduction formula
198. Tax credit formula
199. Tax bracket formula
200. Tax rate formula
