Consider two assets with the following cash flow streams:Asset A generates $4 at t=1, $3 at t=2, and $10at t=3. Asset B generates $2 at t=1, $X at t=2, and $10at 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. (b)Determine the set of all interest rates {r} such that asset A is more valuable than asset B. (c)Draw the present value of the assets as a function of the interest rate.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Consider two assets with the following cash flow streams:Asset A generates $4 at t=1, $3 at t=2, and $10at t=3. Asset B generates $2 at t=1, $X at t=2, and $10at 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.

(b)Determine the set of all interest rates {r} such that asset A is more valuable than asset B.

(c)Draw the present value of the assets as a function of the interest rate.

(d)Suppose r=0.2.Find the value X such that the present value of asset B is 12.

(e)Suppose the (one-period) interest rates are variable and given as follows: r01=0.1, r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. 

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