Answer the below questions for bonds A and B. (a) Calculate the actual price of the bonds
Question:
(a) Calculate the actual price of the bonds for a 100-basis-point increase in interest rates.
(b) Using duration, estimate the price of the bonds for a 100-basis-point increase in interest rates.
(c) Using both duration and convexity measures, estimate the price of the bonds for a 100-basis-point increase in interest rates.
(d) Comment on the accuracy of your results in parts b and c, and state why one approximation is closer to the actual price than the other.
(e) Without working through calculations, indicate whether the duration of the two bonds would be higher or lower if the yield to maturity is 10% rather than 8%.
Bond A Bond B 9% 8% Coupon Yield to maturity 8% Maturity (years)2 Par Price 890 $100.00 $100.00 $100.00 $104.055
Step by Step Answer:
a For Bond A we get a bond quote of 100 for our initial price if we have an 8 coupon rate and an 8 yield If we change the yield 100 basis point so the yield is 9 then the value of the bond P is the pr...View the full answer
Related Video
Bond valuation is the process of determining the worth of a bond. It is based on the present value of the bond\'s future cash flows, which include coupon payments and the return of the bond\'s face value (or \"principal\") at maturity. The discount rate used in the calculation is directly tied to prevailing interest rates, and a rise in interest rates will decrease the present value of the bond and thus lower its price. Conversely, a fall in interest rates will increase the present value of the bond and raise its price. Interest rates serve as a benchmark for determining the value of a bond, as they determine the discount rate used in the bond valuation calculation. The most commonly used measure of interest rates is the yield to maturity (YTM), which represents the internal rate of return of an investment in a bond if the investor holds the bond until maturity and receives all scheduled payments. Yield to maturity is a function of the coupon rate, the current market price of the bond, the face value of the bond, and the number of years remaining until maturity. By comparing the yield to maturity of a bond to prevailing market interest rates, an investor can assess the relative value of the bond.
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