You own a portfolio of two stocks, A and B. Stock A is valued at $84,650 and has an expected return of 10.6 percent. Stock B has an expected return of 6.4 percent. What is the expected return on the portfolio if the portfolio value is $97,500?

10.05%

Explanation:

A portfolio contain two stocks A and B

The value of stock A is $84,650

The expected return of stock A is 10.6%

= 10.6/100

= 0.106

The expected return of stock B is 6.4%

= 6.4/100

= 0.064

The portfolio value is $97,500

The first step is to calculate the value of stock B

Value of B= $97,500-$84,650

= $12,850

Therefore the expected return can be calculated as follows

Expected return= value of stock A/portfolio value×expected return of stock A + value of stock B/portfolio value×expected return of stock B

=$84,650/$97,500×0.106+$12,850/$97,500×0.064

= 0.8682×0.106+0.1318×0.064

= 0.09202+0.008435

= 0.10045×100

= 10.05%

Hence the expected return on the portfolio value of $97,500 is 10.05%

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