A financial advisor offers you two investment opportunities. Both offer a rate of return of 11%. Investment A promises to pay you $450 in 1 year, $650 in 2 years, and $850 in 3 years. Investment B promises to pay you $850 in 1 year, $x in 2 years, and $450 in 3 years. What must x be to make you indifferent between Investing A and B

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,

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

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