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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

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

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 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.

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 .

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

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.