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When there is only one compounding period in a ordinary annuity the table factor for future value is always 1?
True
What is the future value of 10000 for an interest rate of 16 percent and 1 annual period of compounding?
With only one year the value is 11600
What is the effect of changig length or mass of pendulum on value of g?
Changing the length will increase its period. Changing the mass will have no effect.
When does interest begins compounding in an ordinary annuity?
At the end of the second period
What is future value of 1 calculated at 8 percent in 18 periods?
It depends on the period. -- If the period is 1 year, the future value is 3.996 . -- If the period is 6 months, the future value is 2.026 . -- If the period is 3 months, the future value is 1.428 . -- If the period is 2 months, the future value is 1.269 . -- If the period is 1 month, the future value is 1.196 . These are compounded values. If interest is simple, then the value after 18 years is 2.44 .
When there is only one compounding period in a ordinary annuity the table factor for future value is always 1?
True
What is the future value of 10000 for an interest rate of 16 percent and 1 annual period of compounding?
With only one year the value is 11600
What is the effect of changig length or mass of pendulum on value of g?
Changing the length will increase its period. Changing the mass will have no effect.
What two factors are important to making the principle of compounding work?
The two important factors for the principle of compounding to work effectively are time and the rate of return. The longer the time period over which an investment can compound, and the higher the rate of return on the investment, the more significant the compounding effect will be.
How calculated effective yield?
Effective yield is calculated by taking into account the impact of compounding interest on an investment. It is the total return on an investment over a specific period, factoring in both interest payments and the effects of compounding. The formula for effective yield is: Effective Yield = (1 + (Nominal Interest Rate / Compounding Period))^Compounding Period - 1.
What is the difference between compounding and discounting?
Compounding finds the future value of a present value using a compound interest rate. Discounting finds the present value of some future value, using a discount rate. They are inverse relationships. This is perhaps best illustrated by demonstrating that a present value of some future sum is the amount which, if compounded using the same interest rate and time period, results in a future value of the very same amount.
When does interest begins compounding in an ordinary annuity?
At the end of the second period
What is the formula to find an APY?
APY = (1+ period rate)# of period - 1 Where period rate = APR / # of compounding periods in a year
What happens to interest when the compounding period decreases?
When the compounding period decreases, interest is calculated and applied more frequently. This can result in higher overall interest earned because the money has less time to sit without earning interest.
What rate of interest compounded annually is required to double an investment in 16 years?
Future Value = (Present Value)*(1 + i)^n {i is interest rate per compounding period, and n is the number of compounding periods} Memorize this.So if you want to double, then (Future Value)/(Present Value) = 2, and n = 16.2 = (1 + i)^16 --> 2^(1/16) = 1 + i --> i = 2^(1/16) - 1 = 0.044274 = 4.4274 %
What would be the value of one hundred dollars with a five percent compound interest after two years?
That depends on how often it is compounded. For annual compounding, you have $100 * (1 + 5%)2 = $100 * (1.05)2 = $100*1.1025 = $110.25This works because at the end of the first compounding period (year), you've earned interest on the amount at the beginning of the compounding period. At the end of the first year, you have $105.00, and the same at the beginning of the second year. At the end of the second compounding period, you have earned 5%interest on the $105.00 so it is $105 * (1.05) = $100*(1.05)*(1.05) or $100 * 1.052.Compounding more often, will yield a higher number, but not much over a 2 year period. Compounding continuously, for example is $100 * e(2*.05) = $100 * e(.1)= $100 * e(.1) = $100 * 1.10517 = $110.52 (27 cents more).Compounding daily will be close to the continuous function, and compounding monthly or quarterly will be between $110.25 and $110.52
What is the difference in the total amount of interest earned on a 1000 investment after 5 years with compounding interest quarterly versus compounding interest monthly in Activity 10.5?
The difference in the total amount of interest earned on a 1000 investment after 5 years with quarterly compounding interest versus monthly compounding interest in Activity 10.5 is due to the frequency of compounding. Quarterly compounding results in interest being calculated and added to the principal 4 times a year, while monthly compounding does so 12 times a year. This difference in compounding frequency affects the total interest earned over the 5-year period.
