Bond Price Formula:
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Definition: This calculator estimates the price of a Treasury note based on coupon payments, yield to maturity, face value, and time to maturity.
Purpose: It helps investors determine the fair value of Treasury notes based on current market conditions.
The calculator uses the formula:
Where:
Explanation: The formula discounts all future cash flows (coupon payments and face value) to their present value using the yield to maturity as the discount rate.
Details: Accurate bond pricing helps investors make informed decisions about buying or selling Treasury notes in the secondary market.
Tips: Enter the coupon payment (annual amount), yield to maturity (as decimal, e.g., 0.05 for 5%), face value (typically $1,000), and number of years to maturity.
Q1: What's the difference between coupon rate and yield?
A: Coupon rate is fixed and determines the payment amount, while yield changes with market conditions and reflects current return.
Q2: Why does price change inversely with yield?
A: As yields rise, existing bonds with lower coupons become less attractive, so their prices fall to match the new yield environment.
Q3: What's a typical face value for Treasury notes?
A: Most Treasury notes have a face value of $1,000, though prices are often quoted per $100 of face value.
Q4: How often are coupon payments made?
A: Treasury notes pay semiannual coupons, but this calculator uses annual compounding for simplicity.
Q5: What happens if I enter a yield of 0?
A: The calculator will simply sum all future cash flows without discounting, which isn't realistic in normal markets.