the price decreases. The underlying asset is a single. To derive this rate we observe that the theoretical price of a bond can be calculated as the present value of the cash flows to be received in the future. There are four different types of Duration measures namely Macaulays Duration, Modified Duration, Effective duration and Key rate duration which all measure how long it takes for the price of the bond to be paid off by the internal cash flows.

Zero coupon bond formula

Hence, the price of the bond is h and coupons calculated as the present value of all future cash flows as shown below: Price of Bond.5 100,000 1 (1 4)-20 100,000 4 (1 4)20, price of Bond 106,795. Once the cell format is adjusted, the formula yields a return rate. Due to the possible change in cash flows, the convexity of the bond is negative as interest rates decrease. So convexity as a measure is more useful if the coupons are more spread out and are of lesser value. A bond is a debt instrument: it pays periodic interest payments based on the stated (coupon) rate and return the principal at the maturity. Enter 4 for a bond that pays quarterly.

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