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Q: If 6700 is invested at 4.6 interest compounded semiannually how much will the investment be worth in 15 years?

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1200

I haven't gotten the answer to that test question either....the choices seem wrong

If every six months the capital earn 10% interest which is compounded, at the end of 5 years, the interest will be 31875. If the annual interest rate is 10%, it makes no difference how often it is compounded. The six monthly interest rate is adjusted - to 4.88% rather than 5% - so that the total interest for a year is 10%.

The rate is 15.56%. The amount invested is irrelevant in this calculation.

The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.

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$5,249.54

1200

The future value of $600 invested for 5 years at an 8% interest rate compounded semiannually can be calculated using the formula FV = P(1 + r/n)^(nt), where FV is the future value, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, P = $600, r = 8% = 0.08, n = 2 (since interest is compounded semiannually), and t = 5. Plugging these values into the formula, we get FV = 600(1 + 0.08/2)^(2*5) = $925.12. Therefore, the future value of the investment after 5 years would be $925.12.

Semiannually over two years is equivalent to 4 periods. If the interest is 12% every 6 months, then the amount of interest is It is 8000*[(1.12)4 -1] =4588.15

I haven't gotten the answer to that test question either....the choices seem wrong

If every six months the capital earn 10% interest which is compounded, at the end of 5 years, the interest will be 31875. If the annual interest rate is 10%, it makes no difference how often it is compounded. The six monthly interest rate is adjusted - to 4.88% rather than 5% - so that the total interest for a year is 10%.

The rate is 15.56%. The amount invested is irrelevant in this calculation.

SupposeCapital invested = YAnnual Interest Rate = R%Period of investment = TThen if the interest is calculated (and compounded) n times a yeartotal value =Y*[1 + r/(100*n)]^(n*T)So interest accrued = Total value - YSupposeCapital invested = YAnnual Interest Rate = R%Period of investment = TThen if the interest is calculated (and compounded) n times a yeartotal value =Y*[1 + r/(100*n)]^(n*T)So interest accrued = Total value - YSupposeCapital invested = YAnnual Interest Rate = R%Period of investment = TThen if the interest is calculated (and compounded) n times a yeartotal value =Y*[1 + r/(100*n)]^(n*T)So interest accrued = Total value - YSupposeCapital invested = YAnnual Interest Rate = R%Period of investment = TThen if the interest is calculated (and compounded) n times a yeartotal value =Y*[1 + r/(100*n)]^(n*T)So interest accrued = Total value - Y

If the interest is compounded annually, then the first interest payment isn't added until the end of the first year. Until then, the investment is worth exactly $15,000.00 .

The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.

10001/999900

Left alone, that investment would be worth 705.79 after four years.