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Business Mathematics and Statistics · Ch 7 — Financial Mathematics (Annuities; Stocks, Shares, Debentures and Brokerage)

Rate of Return on Investment

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Rate of Return on Investment

The final, and most practically important, question an investor asks is not 'what is the dividend rate' but 'what return am I actually earning on the money I put in' — and these two numbers can differ substantially whenever a share is bought at a premium or a discount rather than at par.

Note

Rate of Return (Yield)

Rate of Return=Annual IncomeInvestment (amount actually paid, including brokerage)×100\text{Rate of Return} = \dfrac{\text{Annual Income}}{\text{Investment (amount actually paid, including brokerage)}} \times 100

Because dividend/interest income is computed on face value while the investment made is computed on market value (plus brokerage), the rate of return equals the nominal dividend/interest rate only in the special case where the share/debenture is bought exactly at par with zero brokerage; buying at a premium always pulls the actual return below the nominal rate, and buying at a discount always pushes it above the nominal rate — brokerage, being a real added cost, always pulls the return down slightly further still, whichever side of par the purchase price sits on. …

Definition 11Rate of Return (Yield)

The actual annual income earned expressed as a percentage of the amount actually invested (market price plus brokerage), as distinct from the nominal dividend/interest rate, which is …