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If Lucy invests $3,000 twice each year into a mutual fund for the next 20 years, what is the future value...

30. If Lucy invests $3,000 twice each year into a mutual fund for the next 20 years, what is the future value of the investment? The mutual fund she has chosen contains various stocks and is expected to yield 5% semi-annually.
Using the Future Value of Ordinary Annuity table, the factor at 2.5% for 40 compounding periods is 67.40255.
O $120,000.00
O $202,207.65
O $404,415.30
O $223,570.45

Answer

Answer: To find the future value of the investment, we use the formula for the future value of an ordinary annuity: FV = Pmt × FVIFA, where Pmt is the payment amount and FVIFA is the future value interest factor of an annuity.

Given:

  • Pmt = $3,000 (twice a year, so $6,000 annually)
  • FVIFA = 67.40255

Calculation:

FV = $6,000 × 67.40255 = $404,415.30

Therefore, the future value of the investment is $404,415.30.

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