This is calculated by dividing the ownership of each person by the total number of shares and then multiplying the resulting fraction by the total amount of the dividend payment.

This makes sense because the shareholder owns half of the shares and receives half of the total dividends. Another common use is to determine the amount due for a partial insurance policy term.

Most insurance policies are based on a full month year, so if a policy is needed for a shorter term, the insurance company must prorate the annual premium to determine what is owed.

To do this, divide the total premium by the number of days in a standard term, and multiply by the number of days covered by the truncated policy. If the insured only requires the policy for days, then the company must reduce the premium accordingly.

Pro rata calculations are also used to determine the amount of interest that will be earned on an investment.

If an investment earns an annual interest rate, then the pro rata amount earned for a shorter period is calculated by dividing the total amount of interest by the number of months in a year and multiplying by the number of months in the truncated period.

When it comes to bonds, payment on accrued interest is calculated on a pro rata basis. Accrued interest is the total interest that has accumulated on a bond since its last coupon payment.

When the bondholder sells the bond before the next coupon date, they're still entitled to the interest that accrues up until the time the bond is sold.

The bond buyer, not the issuer, is responsible for paying the bond seller the accrued interest, which is added to the market price.

The formula for accrued interest is as follows:. The factor is calculated by dividing the length of time the bond was held after the last coupon payment by the time from one coupon payment to the next.

For example, consider a bondholder who sells their corporate bond on June 30th. The buyer of the bond will pay the seller:. Fixed Income Essentials.

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