Business Mathematics and Statistics · Ch 7 — Financial Mathematics (Annuities; Stocks, Shares, Debentures and Brokerage)
Rate of Return on Investment
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.
Rate of Return (Yield)
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. …
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 …