Bond Price Formula:
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Definition: This calculator estimates the present value of a treasury note or bond based on its coupon payments, yield to maturity, face value, and time to maturity.
Purpose: It helps investors determine the fair price of fixed-income securities and understand the relationship between bond prices and yields.
The calculator uses the bond pricing formula:
Where:
Explanation: The formula discounts all future cash flows (coupons and principal) back to present value using the yield to maturity as the discount rate.
Details: Accurate bond valuation helps investors make informed decisions, compare investment opportunities, and assess portfolio performance.
Tips: Enter the annual coupon payment, yield to maturity (e.g., 0.05 for 5%), face value (typically $1,000), and years to maturity. All values must be positive.
Q1: What is yield to maturity?
A: The total return anticipated on a bond if held until maturity, incorporating both coupon payments and capital gain/loss.
Q2: How does yield affect bond price?
A: Bond prices and yields have an inverse relationship - when yields rise, prices fall, and vice versa.
Q3: What's the difference between coupon rate and yield?
A: Coupon rate is fixed (percentage of face value), while yield changes with market conditions and price fluctuations.
Q4: Why does a bond's price change over time?
A: Due to changes in interest rates, credit risk perception, and time approaching maturity.
Q5: What if my bond pays semi-annual coupons?
A: Adjust the inputs - divide annual coupon by 2, use semi-annual yield (y/2), and double the number of periods.