What is Yield to Maturity (YTM)?
The internal rate of return (IRR) on a bond — the discount rate that equates the present value of all future coupon payments and redemption value to the bond’s current market price.
What happens to a bond’s price when market interest rates rise?
The bond’s price falls, because its fixed coupon payments become less attractive compared to new bonds with higher yields.
What happens to a bond’s price when market interest rates fall?
The bond’s price rises, because its coupon payments are higher than what new investors can earn on new issues.
How does YTM compare to the coupon rate at different price levels?
At par: Coupon rate = YTM
At discount: Coupon rate < YTM
At premium: Coupon rate > YTM
What is the approximate formula for YTM?
YTM ≈ C + (FV - P) / n (FV + P) / 2
where C = annual coupon, FV = par (usually 100 or 1,000), P = price, n = years to maturity.
What is Duration and why does it matter?
Duration measures a bond’s price sensitivity to interest rate changes — the approximate % price change for a 1% change in yield.
Longer duration = more rate-sensitive.
Shorter duration = less rate-sensitive.
What’s the relationship between coupon rate, duration, and rate risk?
Lower coupons & longer maturities = higher duration (more risk)
Higher coupons & shorter maturities = lower duration (less risk)
Why is YTM a better measure than current yield?
Because YTM includes both interest income and capital gain/loss from buying below or above par, while current yield only considers coupon ÷ price.