Return is approx 52.53
When r% apr is compounded n times in a year, the percentage rate each time is r% ÷ n
⇒ 5% apr compounded every 6 months is 2 times a year and thus 5% ÷ 2 = 2.5% every 6 months.
Giving return on 50 after 1 yr as 1.0252 x 50 ~= 52.53
Annual: 176.23 Semiannually : 179.08 Quarterly: 180.61 Monthly: 181.67 Daily: 182.19 (assuming 365.25 days per year, on average).
It is 712.97
7-3/4 percent compounded quarterly = 1.9375 percent paid each period. 7-1/2 years = 30 periods The future value of $1 = (1.019375)30 = $1.77836 (rounded) The future value of $5,200 = (5,200 x 1.77836) = $9,247.46
To calculate the future value of an investment compounded semiannually, you can use the formula: [ A = P \left(1 + \frac{r}{n}\right)^{nt} ] where: ( A ) is the amount of money accumulated after n years, including interest. ( P ) is the principal amount (5000). ( r ) is the annual interest rate (0.06). ( n ) is the number of times that interest is compounded per year (2 for semiannual). ( t ) is the number of years the money is invested (10). Plugging in the values: [ A = 5000 \left(1 + \frac{0.06}{2}\right)^{2 \times 10} = 5000 \left(1 + 0.03\right)^{20} = 5000 \left(1.03\right)^{20} \approx 5000 \times 1.8061 \approx 9030.50 ] Thus, $5000 would grow to approximately $9030.50 in ten years at 6 percent compounded semiannually.
Assuming the interest is compounded annually, the future value is 100*(1.04)10 = 100*1.4802 (approx) = 148.02
$1480.24
1000 x (1.025)8 which is $1218.40.
Annual: 176.23 Semiannually : 179.08 Quarterly: 180.61 Monthly: 181.67 Daily: 182.19 (assuming 365.25 days per year, on average).
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.
the future value of $5,000 in a bank account for 10 years at 5 percent compounded bimonthly?
Compounded annually: 2552.56 Compounded monthly: 2566.72
It is 712.97
$5,052.22
1862
7-3/4 percent compounded quarterly = 1.9375 percent paid each period. 7-1/2 years = 30 periods The future value of $1 = (1.019375)30 = $1.77836 (rounded) The future value of $5,200 = (5,200 x 1.77836) = $9,247.46
25000 x (1.02)14 = 32976.97. For comparison, compounded annually would give 25000 x (1.04)7 = 32898.29, not a huge difference but worth having!
Wow! Where can we get some of that 11.75% ?!?The future value is 5,800 x (1.1175)30 = 162,500.22 (rounded)