Bond Price Formula:
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Definition: This calculator estimates the price of a Treasury Note (T-Note) based on coupon payments, yield to maturity, and face value.
Purpose: It helps investors determine the fair value of Treasury Notes and make informed investment decisions.
The calculator uses the bond pricing 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 assess whether a bond is overpriced or underpriced relative to its expected returns and risk profile.
Tips: Enter the annual coupon payment, yield to maturity (as decimal), number of years to maturity, and face value (typically $1,000 for T-Notes).
Q1: What's the difference between coupon rate and yield?
A: Coupon rate is fixed and determines the dollar coupon payments. Yield reflects current market conditions and the bond's expected return.
Q2: Why does bond price move inversely to yield?
A: As yields rise, future cash flows are discounted more heavily, reducing the present value (price) of the bond.
Q3: What's a typical yield for Treasury Notes?
A: Treasury Note yields vary with market conditions but typically range between 1% and 5% (0.01 to 0.05 in decimal form).
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 zero?
A: The price becomes the sum of all coupon payments plus face value, as there's no discounting of future cash flows.