A person has $20,000 to invest. As the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and
corporate bonds that yield 9%. The person wants to have an annual income of $1170, and the amount invested in corporate bonds must be half that invested in Treasury bills. Find
the amount in each investment.
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He invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

Given that a person has $ 20,000 to invest, and as the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and corporate bonds that yield 9%, and the person wants to have an annual income of $ 1170, and the amount invested in corporate bonds must be half that invested in Treasury bills, to find the amount in each investment the following calculation must be performed:

  • 10,000 x 0.03 + 5,000 x 0.09 + 5,000 x 0.06 = 1050
  • 8,000 x 0.03 + 4,000 x 0.09 + 8,000 x 0.06 = 1080
  • 2,000 x 0.03 + 1,000 x 0.09 + 17,000 x 0.06 = 1170

Therefore, he invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

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