5.10 : 永续年金

A perpetuity is a financial concept where a fixed sum of money is received or paid at regular intervals indefinitely.

Perpetuities are used in finance for the valuation of bonds, particularly those without a maturity date, and in real estate valuations.

The concept is also used in assessing the attractiveness of investments like preferred stocks, which generally perpetually pay fixed dividends with no maturity date.

Perpetuity is calculated by dividing the constant payment by the discount rate.

Consider Wecare Pharma Corporation as an example.

The company issues preferred stock with an annual dividend of five dollars per share.

Shareholders holding this preferred stock in the company will receive five dollars in dividends per share each year.

The present value of the perpetuity or the value of the preferred stock is calculated considering ten percent discount rate.

Using the formula, the present value of the preferred stock is fifty dollars per share.

Preferred stock perpetuities do not expire, and shareholders will continue to receive dividends as long as the company remains operational and chooses to distribute dividends to its preferred shareholders.