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The future value of an annuity is the accumulated amount, including payments and interest, of a stream of payments made to an interest-bearing account. For an annuity-immediate, it is the value immediately after the n-th payment. The future value is given by: ¯ | = (+),
A permanent insurance policy accumulates a cash value up to its date of maturation. The owner can access the money in the cash value by withdrawing money, borrowing the cash value, or surrendering the policy and receiving the surrender value. The three basic types of permanent insurance are whole life, universal life, and endowment.
Employees are always entitled to the vested accrued benefit earned to date. If an employee leaves the company before retirement, the benefits earned so far are frozen and held in a trust for the employee until retirement age or in some instances the employee is able to take away a lump sum value or transfer the value to another pension plan.
Retirement plans are classified as either defined benefit plans or defined contribution plans, depending on how benefits are determined.. In a defined benefit (or pension) plan, benefits are calculated using a fixed formula that typically factors in final pay and service with an employer, and payments are made from a trust fund specifically dedicated to the plan.
Hyperbolic discounting is mathematically described as = +where g(D) is the discount factor that multiplies the value of the reward, D is the delay in the reward, and k is a parameter governing the degree of discounting (for example, the interest rate).
The total accumulated value, including the principal sum plus compounded interest , is given by the formula: [8] [9] = (+) where: A is the final amount; P is the original principal sum; r is the nominal annual interest rate; n is the compounding frequency
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