Dividend Resets And Cumulative Preferred Dividends

Why Resets and Arrears Need Separate Treatment

A preferred share can have a dividend rate that changes at specified reset dates. It can also have cumulative dividend terms that carry unpaid dividends forward. Both features affect the issuer’s expected cash payments, but they affect those payments in different ways. A reset changes the dividend expected for a period; cumulative arrears record unpaid dividends from earlier periods.

For a simple preferred-cost estimate, the recurring dividend should reflect the rate expected to apply to the next dividend period. Arrears should not be added to that recurring annual amount as though they will be paid every year. They may, however, create a substantial priority cash payment before common dividends can be paid. This distinction is aligned with the SOA VEE Accounting and Finance syllabus.

Definition: A reset dividend is a preferred dividend whose rate is adjusted at stated dates under terms such as a reference rate plus a spread, sometimes subject to a floor or cap. Cumulative dividends in arrears are preferred dividends that were not paid when due under the share terms and remain accumulated for possible later payment. The exact reset formula, payment conditions, and priority are determined by the security’s terms.

Estimating the Dividend After a Reset

Suppose a share pays dividends at a rate equal to a benchmark plus a stated spread, subject to a minimum and maximum rate. At a reset date, calculate the rate from the benchmark and spread, then apply the floor and cap. If the dividend rate is applied to a stated par amount, the resulting annual dividend is that amount multiplied by the reset rate.

\text{Reset rate}=\min\!\left(\text{cap},\ \max\!\left(\text{floor},\ \text{benchmark}+\text{spread}\right)\right)

This calculation depends on the security’s stated terms. A reset might use a benchmark observed on a particular date, a specified averaging period, or another contractual rule. The analyst should use the stated convention rather than substitute a more convenient market rate. If the benchmark or the future reset value is uncertain, the dividend estimate is conditional on the assumptions used.

Worked Example: Applying a Reset Rate and Estimating a Forward Yield

A hypothetical preferred share has a par amount of $100. Its annual dividend rate resets to a reference rate plus 2.1 percentage points, with a 5.5% floor and a 7.0% cap. At the upcoming reset, the reference rate specified by the terms is 4.2%. The share trades at $90. Estimate the next annual dividend and the simple forward dividend yield.

Method. Apply the contractual reset formula, then calculate the dividend on par and divide by the current share price for a simple forward yield. Assume the reset rate applies for the full next year and that the stated annual dividend is paid in full.

First add the reference rate and spread: $4.2\%+2.1\%=6.3\%$. The result is above the floor of 5.5% and below the cap of 7.0%, so neither bound changes it. The reset rate is 6.3%.

The expected annual dividend is $100(0.063)=\$6.30$ per share. Using the $90 market price, the simple forward dividend yield is $\$6.30/\$90=0.07$, or 7.00%.

Check. The rate is within the contractual bounds, and 7.00% of $90 is $6.30. Using the old rate instead would incorrectly retain a dividend that no longer applies after reset.

When a Dividend-to-Price Ratio Is Appropriate

For a preferred share expected to pay the same annual dividend indefinitely, with no redemption or growth and with a required return $k$, the value is the present value of a level perpetuity. The estimate $k=D/P$ follows from that model, where $D$ is the annual dividend and $P$ is the relevant share price. For an issuer’s cost estimate at issuance, the denominator is typically net proceeds per share rather than the market price, because issue expenses reduce the funds received.

P=\frac{D}{k} \qquad\Longrightarrow\qquad k=\frac{D}{P}

The model assumes a constant annual dividend paid indefinitely, a constant required return, and no redemption payment. It does not describe a stream in which expected dividends change at reset dates. In that case, dividing only the next dividend by the price is a simple current-yield measure, not necessarily the return implied by the full expected stream.

The perpetuity relation has a direct justification. Discounting a level dividend $D$ at return $k>0$ gives $D/(1+k)+D/(1+k)^2+\cdots$. This is a geometric series with first term $D/(1+k)$ and common ratio $1/(1+k)$. Its sum is

\frac{D/(1+k)}{1-1/(1+k)} =\frac{D/(1+k)}{k/(1+k)} =\frac{D}{k}.

The result depends on the dividend remaining level forever and on $k>0$. A reset feature that changes expected payments breaks the level-perpetuity assumption unless the reset happens to leave the expected dividend unchanged.

Worked Example: A Reset Changes the Expected Payment Stream

A hypothetical preferred share sells for $100. The expected dividend is $8 at the end of year 1. At the end of year 2 and every year thereafter, the expected dividend is $10, following a specified reset. Assume the reset forecast is realized, the share has no redemption date, and the required return $k$ is constant. Estimate the return implied by the expected payment stream.

Method. Discount each expected payment using the same return. Treat the year-2-and-later payments as a perpetuity beginning in year 2. This method avoids assuming that the year-1 dividend continues unchanged forever.

The year-1 payment has present value $8/(1+k)$. The year-2-and-later stream has present value $(10/k)/(1+k)$: its value one period before its first payment, at year 1, is $10/k$, and that value must be discounted one year. Thus,

100=\frac{8}{1+k}+\frac{10}{k(1+k)} =\frac{8k+10}{k(1+k)}.

Multiplying by $k(1+k)$ gives $100k+100k^2=8k+10$, or $100k^2+92k-10=0$. The positive root is

k=\frac{-92+\sqrt{92^2+4(100)(10)}}{200} =\frac{-92+\sqrt{12464}}{200} \approx 0.09821.

The implied return is approximately 9.821%, rounded to three decimal places. The other root is negative and is not the positive required return considered here. As a check, substituting $k\approx0.09821$ into the present-value equation gives approximately $100. The year-1 dividend divided by price is only $8/100=8.00\%$; that simple yield does not account for the expected increase in later payments.

Cumulative Arrears Are Not the Recurring Dividend

With cumulative terms, an unpaid preferred dividend carries forward according to the share agreement. When a dividend is later declared or paid, the terms may require current preferred dividends and accumulated arrears to be satisfied before a common dividend can be paid. The precise priority and payment conditions depend on the security’s terms and applicable rules.

Arrears affect the amount and timing of cash that may be required to resume or make distributions. They are not, by themselves, a new recurring annual dividend. In a simple annual cost estimate, use the expected annual dividend for the period and the relevant price or net proceeds. Do not add the full accumulated arrears to that annual numerator. If the analysis instead values the full expected cash-flow stream, any arrears payment should be represented separately at the time it is expected to be paid.

Also distinguish an accumulated dividend under the share terms from an interest-bearing loan balance. Unless the terms specifically provide otherwise, do not assume that arrears earn interest. A cumulative preference generally establishes priority over common dividends; it does not automatically make the arrears an ordinary debt payment due on a fixed schedule.

Worked Example: Separating Annual Cost from Cumulative Arrears

A company issues 1,000 hypothetical cumulative preferred shares with a par amount of $50 per share and an annual dividend rate of 7.2%. It receives net proceeds of $48 per share after issue costs. Two full years of preferred dividends have not been paid. Assume the terms require all arrears and the current-year preferred dividend to be paid before any common dividend is distributed. Find the recurring annual dividend, the arrears, the current-year priority payment, and the simple annual cost on net proceeds.

Method. Calculate the annual dividend per share first. Accumulate the two missed years separately, then calculate the current-year dividend and the yield on net proceeds. This avoids treating a catch-up payment as an annual cost.

The annual dividend per share is $50(0.072)=\$3.60$. Across 1,000 shares, the recurring annual dividend is $1{,}000(\$3.60)=\$3{,}600$.

Two unpaid years create arrears of $2(\$3.60)=\$7.20$ per share, or $1{,}000(\$7.20)=\$7{,}200$ in total. The current-year preferred dividend is another $3,600. Under the stated priority assumption, the total preferred amount to be paid before a common dividend is therefore $\$7{,}200+\$3{,}600=\$10{,}800$.

The simple annual cost on net proceeds is $\$3.60/\$48=0.075$, or 7.50%. The $7,200 in arrears is not added to the $3,600 recurring annual dividend used in that estimate.

Check. Net proceeds are $1{,}000(\$48)=\$48{,}000$, and the recurring dividend of $3,600 is 7.50% of $48,000. The $10,800 priority payment consists of two missed years plus the current year, not three years of recurring cost in every future year.

A Common Estimation Trap

A frequent error is to combine reset uncertainty and arrears into one inflated annual dividend. For example, suppose the next expected annual dividend is $6.30, net proceeds are $90 per share, and known arrears are $12 per share. The incorrect calculation is

\text{Wrong: }\frac{6.30+12}{90}=20.33\%.

This treats the $12 arrears as if they recur every year. The simple forward annual cost estimate is instead $6.30/90=7.00\%$. The $12 arrears should be analyzed separately as a potential priority payment, subject to the share terms. If the expected payment timing matters to a valuation, include it as a separate cash flow rather than relabelling it as an annual dividend.

A related error is to use a past dividend rate after a reset date. The correction is to apply the contractual reset formula to estimate the next-period dividend, then check whether the level-perpetuity assumptions are reasonable. When expected dividends vary over time, use an expected payment schedule and a return consistent with that schedule instead of treating a single dividend-to-price ratio as a complete return estimate.

Key takeaway: A reset determines the expected dividend for the relevant period; cumulative arrears determine a possible additional priority payment. Keep the recurring dividend, any arrears payment, and the price or net proceeds used in the estimate clearly separate.

Check Your Understanding

For each problem, distinguish recurring dividends from accumulated arrears where relevant.

A hypothetical preferred share has $80 par, resets to a benchmark of 3.1% plus a 2.15% spread, and has no binding floor or cap at the reset. Its market price is $70. What are the next annual dividend per share and the simple forward dividend yield? (Answer: $4.20 per share; 6.00%.)
A company has 600 cumulative preferred shares with $40 par and a 6.5% annual dividend rate. Three full years are unpaid, and the current year’s dividend is also due before any common dividend. What are the arrears, the current-year dividend, and the total preferred priority payment? (Answer: $4,680 arrears; $1,560 current-year dividend; $6,240 total.)
A share sells for $95 and is expected to pay $7.50 at year 1, then $9.50 at year 2 and each year thereafter. Assume a constant required return, no redemption, and that the expected payments are realized. What return is implied by the expected stream? (Answer: approximately 9.812%, rounded to three decimal places.)
A cumulative preferred share has $25 par, an 8% annual dividend rate, and a market price of $22.50. Two years of dividends are unpaid. There are 400 shares, and the current-year dividend must also be paid before a common dividend. Find the simple annual dividend yield, arrears, and total priority payment including the current year. (Answer: 8.89%; $1,600 arrears; $2,400 total priority payment.)

What You'll Learn