Please answer the following question: The modified duration and convexity of a 6%, 25 year bond selling to yield 9% is 10.62 and 91.46 respectively. If the required yield increases by 300 basis points from 9% to 12% what is the approximate percentage change in the price of the bond due to a) duration, b) convexity, c) duration and convexity? d) If the actual change is -26.50%, compare your results from a) and c) which provides a better approximation?

D4) Suppose that there is 30-year coupon bond with par value of $100 and Macaulay duration of 20.56. The coupon rate is unknown. Currently, the bond is traded at $90 and the yield is flat at 20% pa. Yield to maturity is an annualized simple interest rate compounded annually. If the bond yield increases by 50 basis points, what is the approximation of the percentage capital gain or loss? Please choose the correct range for the percentage capital gain/loss, i.e., if it is -3.5%, please select “A value between -3% and -4%” A value between -9% and -10% A value between -8% and -9% None of the other answers are correct. A value between -7% and -8% A value between -10% and -11%

Unlike the coupon interest rate, which is fixed, a bond's yield varies from day to day depending on market conditions. To be most useful, it should give us an estimate of the rate of return an investor would earn if that investor purchased the bond today and held it for its remaining life. There are three different yield calculations: Current yield, yield to maturity, and yield to call. A bond's current yield is calculated as the annual interest payment divided by the current price. Unlike the yield to maturity or the yield to call, it does not represent the actual return that investors should expect because it does not account for the capital gain or loss that will be realized if the bond is held until it matures or is called. This yield was popular before calculators and computers came along because it was easy to calculate; however, because it can be misleading, the yield to maturity and yield to call are more relevant. The yield to maturity (YTM) is the rate of return earned on a…

Using duration and convexity approximation, compute the percentage price change on a 10-year fixed coupon bond, if the interest rate increases by 1%. The modified duration of the bond is 6 years, and convexity is 200 year2.   Group of answer choices   -6%   -5%   7%   -7%

In calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.

Consider the zero coupon Treasury bond yield curve. Suppose a 1 year bond has a yield of 2.13%. The yield curve slopes downwards between maturities of 1 year and 3 years, and then slopes upwards. Which of the following must be true?   Group of answer choices   A) The yield of a zero coupon bond with maturity 5 years is higher than 2.13%.   B) A 1 year positive coupon bond must have a lower price than the zero coupon bond with the same maturity.   C) Bond purchasers believe the Fed will decrease rates in the short run, and then increase them in the long run.   D) The economy will be in a recession within 2 years.   E) C and D.

Find the Macaulay duration and the modified duration of a 15​-year, 7.5​% corporate bond priced to yield 5.5​%. According to the modified duration of this​ bond, how much of a price change would this bond incur if market yields rose to 6.5​%? Using annual​ compounding, calculate the price of this bond in one year if rates do rise to 6.5​%. How does this price change compare to that predicted by the modified​ duration? Explain the difference.

Use Macauly's Duration Price Approximation formula for this. Before a change in interest rates, your bond has the following characteristics: present value of $5,557.56, Duration of 3.69 years with market interest rates of 5%. Calculate the percentage change in the bond's price if market rates fall to 4.85%. Be sure to include the negative sign IF you think the price goes down. I