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.   Suppose r=0.2. Find the value X such that the present value of asset B is 12. 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. (You can use Excel or ascientific calculator to find the solution numerically.)

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 $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.

 

  1. Suppose r=0.2. Find the value X such that the present value of asset B is 12.
  2. 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. (You can use Excel or ascientific calculator to find the solution numerically.)

 

Expert Solution
Step 1

Given:

r = 0.2 or 20%

PV of asset B = 12

Cash flow for Asset B:

t1 = $2

t2 = $X

t3 = $10

 

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