answer all the questions please, thank you!

Question 1 [16 points) Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. (a) For r=0.1, calculate the present value of the two assets. [4p) (b) Determine the set of all interest rates {r} such that asset A is more valuable than asset B. [2p] (c) Draw the present value of the assets as a function of the interest rate. [2] (d) Suppose r=0.2. Find the value X such that the present value of asset B is 12. [2p] (e) Suppose the (one-period) interest rates are variable and given as follows: 101=0.1, 112=0.2, 123=0.3. Calculate the yield to maturity of asset A. (You can use Excel or a scientific calculator to find the solution numerically.) [6p]