Yield-to-Maturity Deep Dive

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Lyrics

[Verse 1]
Picture bonds like treasure maps with promises to pay
Coupons flow like clockwork till the final maturity day
But what's the true return you'll earn if held until the end?
That's where yield-to-maturity becomes your truest friend

[Chorus]
Y-T-M, the IRR of bonds you see
Present value equals price when discount rates agree
Hold it tight, reinvest right, all coupons at the same
Yield-to-maturity, the bond investor's game

[Verse 2]
Start with current market price, then add up all the cash
Future coupons, face value too, in one calculated dash
Find the rate that makes them equal when discounted back today
That elusive discount rate is YTM's display

[Chorus]
Y-T-M, the IRR of bonds you see
Present value equals price when discount rates agree
Hold it tight, reinvest right, all coupons at the same
Yield-to-maturity, the bond investor's game

[Bridge]
Three assumptions buried deep within this calculation
Hold until maturity, no early liquidation
Reinvest each coupon payment at the YTM rate
Miss these points and your returns will deviate

[Verse 3]
When the price goes up, the yield goes down, inverse relationship
Calculator iterations help you make that mental flip
Internal rate of return dressed in different clothes
YTM reveals what every bond investor knows

[Chorus]
Y-T-M, the IRR of bonds you see
Present value equals price when discount rates agree
Hold it tight, reinvest right, all coupons at the same
Yield-to-maturity, the bond investor's game

[Outro]
From premium to discount bonds, the math remains the same
Solve for that elusive rate in the YTM game

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