An investor has up to $250,000 to invest in two types of investments. Type A pays 6% annually and type B pays 8% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-fourth of the total portfolio is to be allocated to type A investments and at least one-fourth of the portfolio is to be allocated to type B investments. What is the optimal amount that should be invested in each type of investment

Answer:

The optimal amount that should be invested in each type of investment is:

Project A (43%) = $107,500

Project B (57%) = $142,500

Explanation:

a) Data and Calculations:

Total investible funds = $250,000

Types of investment vehicles =         Type A                  Type B

Annual returns from each vehicle         6%                         8%

Ratio of annual returns =                       43%(6/14)           57% (8/14)

Therefore, allocation to each type:

Type A =  $107,500 ($250,000 * 43%)  

Type B = $142,500 ($250,000 * 57%)

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