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Show details of your work. You can type your answers into this file or write them on a printed version and scan it to a pdf file for submission. 1. Consider a $100 par value bond that has an 8% coupon rate, pays a semi-annual coupon, matures 2 years from today, and is priced to yield 6%. Calculate the Macauly and modified durations as a present value weighted average of the time to maturity. 2. For the bond above, calculate the dollar duration and the price value of a basis point. 3. For the bond above, estimate the percent and dollar price changes associated with a 0.5% increase in yield