Assume the yield curve is flat shown as following table. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 7-year coupon paying bonds and purchasing qs and ql coupon paying bonds with maturities 3 and 15 years respectively. More information on the bonds to be used in the strategy is given Note that we are assuming all bonds pay interest semi-annually. (a) Explain how to interpret the modified duration of -8.86 corresponding to the 15-year maturity bond.

Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms.   This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated.   ∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000   ∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500.   1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%? $421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…

Exploring Finance: Coupon Bonds.  Coupon Bonds Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated.   5.  For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by changes in the market rate than a 1-year bond. affected the same by changes in the market rate than a 1-year bond. more affected by changes in the market rate than a 1-year bond. Cannot be determined.

Please use this information to help me determine the correct Realized rate of return

Can you please walk me through this? Problem 6-11 DEFAULT RISK PREMIUM A company’s 5-year bonds are yielding 7.75% per year. Treasury bonds with the same maturity are yielding 5 2% per year, and the real risk-free rate (r*) is 2.3%. The average inflation premium is 2 5%; and the maturity risk premium is estimated to be 0.1 x (t 1) %, where t = number of years to maturity. If the liquidity premium is 1%, what is the default risk premium on the corporate bonds?

Please show step by solutions. do not skip steps

Only by excel please or else skip it