What is the effective annual interest rate in each situation? Show and explain all supporting calculations. a. A savings account with 4% annual interest rate compounded daily (assume a year consists of 365 days)? b. A savings account with 4% annual interest rate compounded monthly?
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- The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $10000 at an annual interest rate of 5%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 7 years? Your answer C. Create a graph that shows the increase in the account balance over the next 15 years, including your initial deposit. Your answer D. Using the graph, estimate how many years it will take for the initial deposit to double. Your answer E. If you deposited $5000O in an account of this type, what would the account balance be when you are 50 years old assuming that you are 20 years of age right now? Your answer OCT 16A certain some of money P draws interest compounded continuously. If a certain time there are Po dollars in the account, determine the time when the financial attains the value of 2Po dollars if the annual interest rate at 2%Suppose you invest $1,250 in an account paying 8% interest per year. a. What is the balance in the account after 3years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 31 years? How much of this balance corresponds to "interest on interest"?
- Suppose you invest $1,200 in an account paying 4% interest per year. a. What is the balance in the account after 2 years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 25 years? How much of this balance corresponds to "interest on interest"?4. What is the effective annual interest rate i A savings account with 4% annual interest rate compounded monthly?If the nominal rate of interest paid on a savings account is 2% compounded monthly, what is the effective rate of interest?
- If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate Time Financial Goal $? at the end of each year 3% compounded annually 18 years $140,000 a.The periodic deposit is $_______. (Do not round until the final answer. Then round up to the nearest dollar asneeded.)Suppose you invest $103 nin a bank account, and five years later it has grown to $137.91. a. What APR did you receive, if the interest was compounded semiannually? b. What APR did you receive if the interest was compounded monthly?
- The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. A. Find how much money there will be in the account after the given number of years. B. Find the interest earned. Click the icon to view some finance formulas. A. The amount of money in the account after 2 years is $. (Round to the nearest hundredth as needed.) B. The amount of interest earned is $. (Round to the nearest hundredth as needed.) Principal $2000 Rate 5% 7 Compounded annually Time 2 yearsAnswer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 7. Compound Interest A. If the sum of P 12,000 (pesos) is deposited in an account earning interest rate of 9% compounded quarterly, what will it become after 1 year? B. In the previous problem, what is the effective rate? C. What is then the equivalent nominal interest rate if compounded monthly?Suppose that a savings account pays an effective rate of interest of 11.7 percent. What is the equivalent annual compound interest rate if interest is compounded semi-annually? Answer = %?