MCPCalc

Net Single Premium Calculator

Calculate net single premium for whole life, term life, and endowment policies.

Scratchpad (not saved)

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What This Calculator Does

Calculate net single premium for whole life, term life, and endowment policies.

It combines Policy Type, Age, Term (Years), Face Amount to estimate Net Single Premium, Whole Life Factor (Ax), Term Factor (A^1x:n).

Formula & Method

Core equations: Whole life insurance factor is A_x = \sum_{k=0}^{\infty} v^{k+1}{}_kp_x q_{x+k}. Term insurance factor is A^1_{x:\overline{n}|} = \sum_{k=0}^{n-1} v^{k+1}{}_kp_x q_{x+k}. Endowment factor is A_{x:\overline{n}|} = A^1_{x:\overline{n}|} + v^n{}_np_x. Net single premium is face amount multiplied by the selected factor.

Notation used in the formulas: R = Net Single Premium; x_{1} = Policy Type; x_{2} = Age; x_{3} = Term (Years); x_{4} = Face Amount; x_{5} = Interest Rate; x_{6} = Sex.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.

Inputs Used

  • Policy Type: Used directly in the calculation.
  • Age: Used directly in the calculation.
  • Term (Years): Used directly in the calculation.
  • Face Amount: Used directly in the calculation.
  • Interest Rate: Used directly in the calculation.
  • Sex: Used directly in the calculation.
  • Mortality Table: Used directly in the calculation.

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