Knowledge Base
Explain the valuation principles for interest rate products
Yield to Maturity (YTM)
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The yield to maturity (YTM) is the single discount rate that equates the market price with the present value of future cash flows. It incorporates the bondholder's total return, including coupons and any capital gain or loss at maturity.
Which factors influence a bond's duration?
A bond's duration is influenced by the coupon level: a bond with high coupons has a lower duration because a larger share of cash flows is received early. Conversely, a zero-coupon bond has a duration equal to its maturity since the entire cash flow is received at maturity.
Which elements are included in the calculation of a bond's value according to valuation principles?
A bond's value is calculated by summing the present values of its coupons and principal. Each future cash flow is divided by (1 + discount rate) raised to the power corresponding to the number of years until payment. This method determines the bond's price based on expected future cash flows.
What fundamental concept underlies the valuation of interest rate products?
The valuation of interest rate products is based on the concept of discounting future cash flows. A bond's value is determined by the sum of the present values of its coupons and principal, discounted at an appropriate discount rate. This principle is essential for understanding how bonds are valued in the market.
What does a bond's sensitivity measure?
A bond's sensitivity, equal to the negative of modified duration, quantifies the percentage price change for a 1% change in yield to maturity. For example, a bond with a sensitivity of 5 will see its price change by approximately 5% for a 1% change in yield to maturity.
The clean price is obtained by adding the accrued interest to the dirty price.
The clean price is obtained by subtracting the accrued interest from the dirty price. This distinction avoids price discontinuities at coupon detachment dates and facilitates comparison between bonds of the same maturity.
Categorize items by dragging them to the appropriate zones
Items to categorize:
Yield curve
Credit spread
The yield curve represents the term structure of returns, while the credit spread measures the risk premium demanded by the market. A normal curve reflects growth expectations, while an inverted curve signals recession anticipations.
A rise in market interest rates always causes the price of existing bonds to fall.
According to the inverse relationship between price and yield, a rise in market rates does indeed cause existing bond prices to fall because their future cash flows are discounted at a higher rate, reducing their present value. However, this relationship can be modified by other factors such as convexity.