Answer:
The value of x is 566.36
Explanation:
The value of x should be such that the present value of both Investments is the same when discounted at a rate of 11%. To calculate the present value, we use the following formula,
Present Value = CF 1 / (1+r) + CF 2 / (1+r)^2 + ... + CFn / (1+r)^n
Where,
- CF represents Cash flow
- r represents the discount rate
So, we equate both the present value of Investment A and B to calculate the value of x.
Present Value of A = Present Value of B
450/(1.11) + 650/(1.11)^2 + 850/(1.11)^3 = 850/(1.11) + x/(1.11)^2 + 450/(1.11)^3
1554.472661 = 765.7657658 + x/(1.11)^2 + 329.0361216
1554.472661 - 765.7657658 - 329.0361216 = x/(1.11)^2
459.6707736 * (1.11)^2 = x
x = 566.3603602 rounded off to 566.36
