How much should Tina invest at the end of each 6-month period to buy a home for $150,000 in 6 years at a 12% annual return?

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Multiple Choice

How much should Tina invest at the end of each 6-month period to buy a home for $150,000 in 6 years at a 12% annual return?

To determine how much Tina should invest at the end of each 6-month period to accumulate enough money to buy a home for $150,000 in 6 years at a 12% annual return, we can use the future value of an ordinary annuity formula. The future value of an ordinary annuity calculates the total value of a series of equal payments made at regular intervals, taking into account compound interest. The key components to applying this formula are: - The total future value desired, which is $150,000. - The annual interest rate, which is 12%, but since payments are made semi-annually, the effective rate per period becomes 6% (12% divided by 2). - The total number of periods, which is 12 (since there are 6 years, and payments are made every 6 months). Using the future value of an ordinary annuity formula: FV = PMT × [(1 + r)^n - 1] / r Where: - FV is the future value ($150,000), - PMT is the payment amount per period (what we're looking to find), - r is the interest rate per period (0.06 for 6%), - n is the

To determine how much Tina should invest at the end of each 6-month period to accumulate enough money to buy a home for $150,000 in 6 years at a 12% annual return, we can use the future value of an ordinary annuity formula. The future value of an ordinary annuity calculates the total value of a series of equal payments made at regular intervals, taking into account compound interest.

The key components to applying this formula are:

  • The total future value desired, which is $150,000.

  • The annual interest rate, which is 12%, but since payments are made semi-annually, the effective rate per period becomes 6% (12% divided by 2).

  • The total number of periods, which is 12 (since there are 6 years, and payments are made every 6 months).

Using the future value of an ordinary annuity formula:

FV = PMT × [(1 + r)^n - 1] / r

Where:

  • FV is the future value ($150,000),

  • PMT is the payment amount per period (what we're looking to find),

  • r is the interest rate per period (0.06 for 6%),

  • n is the

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