> In your own words, explain how compounding works. According to the rule of 72, if you deposit $100 in an account that pays 9% compound interest, how long will it take that initial deposit to reach $200?
Q: The procedure banks use to compute continuously compounded interest is similar to the process we…
A: The extra interest that one earn in compounding can be calculated as follows :
Q: Assume that you will be opening a savings account today by depositing $125,000. The savings account…
A: Note: Since it is not mentioned that whether withdrawals are made annually or quarterly, so we will…
Q: The procedure banks use to compute continuously compounded interest is similar to the process we…
A: Compound interest simply means the interest on interest. It is the extra interest received from the…
Q: A bank offers all savings accounts 5% interest compounded annually. If one account has a principal…
A: An account doubles when the present value becomes 2 times of itself. In order to become two times,…
Q: How much do you have to deposit now in your savings account that earns a 6% compound annual interest…
A: pv=fv1+rn pv=present value fv=future value r=rate of interest n=number of years
Q: You deposited $8,000 six years ago into a bank account. Two years ago, you deposited an additional…
A: Here, Amount Deposited 6 years ago = $8,000 Total years of deposit of $8000 = 6+10 = 16 years Total…
Q: A depositor currently has $6,000 and plans to invest it in an account that accrues interest…
A: Formula: Future value = Present value x ( 1 + r )N R = Rate of interest N = Number of years
Q: If $1,300 is deposited each quarter in an account that earns 2% compounded quarterly, how many full…
A: To calculate the number of payments, future value of annuity formula will be used. where C is…
Q: You deposit $ 6,957 in an account that pays 1 % simple interest. How much do you have after 12…
A: Deposit amount (P) = $ 6,957 Interest rate (r) = 1% Period (t) = 12 Years
Q: If the same two $15,000 deposits are made (at time 0 and end of year 4) into a differ account that…
A: i) If $15,000 invested at time 0 Considering time period is 5 years Solved using Financial…
Q: A bank is offering 10% compounded quarterly. If you put $200 in an account, how much will you have…
A: Step 1 The worth of a series of periodic payments at a future date, assuming a specific rate of…
Q: You plan to invest $10,000 for 180 days. Your bank offers a rate of 2.60% on 90-day GICS and 2.85%…
A: We have in The Question, Principal = $10,000 Period = 180 days OPTION-1 90 Days GIC Interest Rate =…
Q: A client at Southern Trust just made a deposit of $1,000 into an account expected to earn an…
A: Present value of future amount Present value (PV) and future value (FV) are related to each other…
Q: enny puts $200 into a savings account today, the account pays an annual interest rate of 5%, but…
A: PV = 200, N = 1, rate = 5%/2, PMT = 0 use FV function in Excel balance in the account after 6 months…
Q: Suppose on January 1st you deposit $100 in an account that pays a nominal interest rate of 11.33463%…
A: Principal, P = $ 100Nominal interesr rate = Inom = 11.33463% Daily interest rate, Rdaily = Inom /…
Q: If you deposit $3,500 monthly into a savings account which earns 8.25% interest rate compounded…
A: The future value of annuity refers to the future value of a series of payments. The future value can…
Q: Suppose a person has a total credit card debt of $1.375 that has a 12% yearly interest rate. This…
A: Interest rate on savings provides the earnings to the investors while interest rate on credit card…
Q: 1. It is now January 1, 2018. You will deposit $1,000 today into a savings account that pays 8…
A: Answer 1: Information Provided: Deposit = $1000 Interest Rate = 8%
Q: Your bank is offering a term deposit that will earn investors an EAR of 10.70%. Your manager asks…
A: EAR stands for the effective annual rate. It is the rate which takes into consideration the impact…
Q: If you deposit RM35,000 in an account earning 18% with monthly compounding, how much would you have…
A: Using the future value function
Q: You deposit $1,000 in an account today at a rate of 4%. What will be in the account after 40 years…
A: Future value = Present value * (1+rate)^no. of period
Q: It is now January 1, 2018. You plan to make 5 deposits of $200 each, one every 6 months, with the…
A: Future value is the expected value of an investment at a future date at given rate of return. given:…
Q: PLEASE HELP ASAPThe client has made a deposit in the bank in the amount of 10,000$. The duration of…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: If $1,000 is deposited each quarter in an account that earns 2% compounded quarterly, how many full…
A: The question is based on the concept of Annuity
Q: 7. If you want to collect ¢ 5,000,000 in 4 years and for this you make deposits every end of the…
A: N = 4*12 FV = 5,000,000 rate = 18%/12 PV = 0 use PMT function in Excel value of deposit before…
Q: If you deposit $3,500 monthly into a savings account which earns 8.25% interest rate compounded…
A: Present Value is referred to as the current value of future sum of the funds or the cash flows…
Q: It is now January 1, 20x8. Today you will deposit P100,000 into a savings account that pays 8%. a.…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: A bank offers 5% compounded continuously. How soon will a deposit do the following? (Round your…
A: A= P* e^rt Taking log both side ln(A/P) = ln (e^rt) rt = ln (A/P) t = 1/r * ln (A/P)
Q: Suppose that you owe $2,000 on a credit card that charges 18% APR and you pay either the minimum 10%…
A: The time to pay off the debt, the installment, beginning, and ending balances can be seen from the…
Q: If a nine-month term deposit at a bank a simple interest rate of 9% per annum, how much will have to…
A: Simple interest: As the name indicates it is a simple interest computed on the amount of principal.…
Q: Suppose you deposit $ 1296 today and your account will accumulate to $ 5637 in 9 years. What is the…
A: Maturity Amount, A = $ 5637Principal deposited, P = $ 1,296Time period, T = 9 years
Q: t is now January 1, 2x16, and you will need P100,000 on January 1, 2x20. Your bank compounds…
A: The value of money would possibly change with time. The money that is received at present will have…
Q: A person wishes to get 800$ at the end of second year and 900$ at the end of fifth year, if rate of…
A: The question is based on the concept of calculating the present value of expected future cash flows…
Q: Your bank offers you a new savings account that earns a 20% annual percentage rate (nominal interest…
A: An effective interest rate is defined as an interest rate, which is applied on loan or financial…
Q: If you deposit $700 in a bank account that earns 5 percent per year, how much total interest will…
A: Interest Amount = Principal * ( 1 + r )n - Principal
Q: You just put $1,000 in a bank account that pays 6 percent nominal annual interest, compounded…
A: Deposit amount (PV) = $ 1000 Annual interest rate = 6% Monthly interest rate (r) = 6%/12 = 0.50%…
Q: What will a deposit of $4500 at 7.8% compounded semiannually be worth if left in the bank for six…
A: N = 6 years * 2 semi-annual period in a year = 12 I% = 7.8 PV = - 4500 Pmt = 0 P/Y = 2 (as…
Q: Suppose you deposit $10 every week into an account that earns 4% interest compounded weekly. How…
A: The future value is the amount that will be received at the end of a certain period. In simple…
Q: If you deposit $7,000 in a bank account that pays 9% interest annually, how much will be in your…
A:
Q: It is now January 1, 2x16, and you will need P100,000 on January 1, 2x20. Your bank compounds…
A: In this question, we are required to find the accumulated value of funds deposited todayz which is…
Q: The amount of simple interest on a deposit varies jointly with the principal and the time in days.…
A: The simple interest can be calculated with the help of simple interest function
Q: If Greg borrOws $140.00 from the bank at 6.5%o exact simple interest, how much interest does Greg…
A: Interest = Principal * Rate * Time For exact simple interest use 365 days
Q: You currently have $50,000 in a bank account that pays interest at 6% p.a. compounding monthly. You…
A: The withdrawals are in the form of an annuity due. This is because they are taking place at the…
Q: If 200 depositors withdraw at t=1, what is the amount of loan the bank needs to sell (in $ of…
A: Loan is the amount of money which a lender gives or provides to the borrower who has the surplus…
Q: It is now January 1, 20x8. Today you will deposit P100,000 into a savings account that pays 8%. a.…
A: As the compounding periods increase the interest amount increases thereby increasing the amount…
Q: If you deposit $15,000 at EOY 1, $10,000 at EOY 2, and $5,000 at EOY 3 into a savings account which…
A: Deposit at end of year 1 = 15000 Deposit at end of year 2 = 10000 Deposit at end of year 3 = 5000…
Q: You come across two banks offering different compounding interest rates. Public Bank offers 12…
A: Effective Annual Rate: The effective annual rate of interest is the actual or the real rate of…
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- P 9-2 Investment Scenarios (LO 9-3) Arkansas Best Freightways is considering a purchase of three different potential trucks but is uncertain of the cash inflows associated with the following investment scenarios. Year Year 0 (today) Year 1 Year 2 Year 3 Year 4 Buy new truck Increased profits Increased profits Increased profits Increased profits Investment 1 (85,000) 25,000 25,000 25,000 25,000 Investment 2 (105,000) 20,000 30,000 40,000 50,000 Investment 3 (125,000) 40,000 30,000 20,000 10,000Present Value of an Annuity Find the present value of the following ordinary annuities. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press PV, and find the PV of the annuity due.) Do not round intermediate calculations. Round your answers to the nearest cent. $600 per year for 10 years at 10%. $ $300 per year for 5 years at 5%. $ $600 per year for 5 years at 0%. $ Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities…Present Value of an Annuity Find the present value of the following ordinary annuities. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press PV, and find the PV of the annuity due.) Do not round intermediate calculations. Round your answers to the nearest cent. $800 per year for 10 years at 8%. $ $400 per year for 5 years at 4%. $ $800 per year for 5 years at 0%. $ Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities…
- Present Value of an Annuity Find the present value of the following ordinary annuities. (Notes: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. Also, note that you can leave values in the TVM register, switch to Begin Mode, press PV, and find the PV of the annuity due.) Do not round intermediate calculations. Round your answers to the nearest cent. $800 per year for 10 years at 14%. $ $400 per year for 5 years at 7%. $(Present value of an uneven stream of payments) You are given three investment alternatives to analyze. The cash flows from these three investments are shown in the popup window: Assuming a discount rate of 16 percent, find the present value of each investment. a. What is the present value of investment A at 16 percent annual, discount rate? S (Round to the nearest cènt.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) INVESTMENT B END OF YEAR 1 23456TBLG 7 8 9 10 A $18,000 18,000 18,000 18,000 18,000 $18,000 18,000 18,000 18,000 18,000 18,000 C $18,000 90,000 18,000 -In this question they say that lenders would need a promised payment of 80 million. How is this solved for in question d. How can i derive this mathmatically
- You are evaluating five different investments, all of which involve an upfront outlay of cash. Each investment will provide a single cash payment back to you in the future. Details of each investment appears here: Calculate the IRR of each investment. State your answer to the nearest basis point (i.e., the nearest 1/100th of 1%, such as 3.76%). The yield for investment A is The yield for investment B is The yield for investment C is The yield for investment D is The yield for investment E is %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) %. (Round to two decimal places.) C Data table Investment A B с D E Initial Investment $1,600 $10,000 $600 $3,400 $5,200 Future Value Print $3,120 $15,775 $2,923 $4,526 $8,789 End of Year 10 11 16 Done 3 (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) 12 D XConsider an investment that pays off $700 or $1,400 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Complete the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (i.e., 23% not 0.23). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value $ 1050 1200 $ $ 1300 Percentage 20 % 30 % 40 % Standard Deviation 300 600 900 Expected Return N/A Doubled TripledIn a few sentences, answer the following question as completely as you can. The notion that money has time value is based on the existence of a non–zero opportunity rate (i.e., a rate of return at which it is possible to invest). Why is the opportunity rate so important? Construct an example that shows, with an opportunity rate of 0%, that the value of $1 received today will be $1 in the future.
- Determine the present value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Determine the present value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2. 3. 4. Future Amount $ 25,000 $ 19,000 $ 30,000 $ 45,000 ¡= 6% 10% 12% 11% n = 11 14 29 10 Present Valuesheet. _is the excess of resources (usually cash) received or paid over the amount of resources 1. loaned or borrowed. 2. is the interest paid on both the principal and the amount of interest accumulated in prior periods. 3. Future value interest factor (FVIF) is represented by the formula 4. An installment that requires a buyer to pay equal payments at a certain period is called. 5. _means that individuals maximize returns for a given level of risk or minimize risk if the returns are the same. 6. The basic decision rule is to accept the project if the net present value is 7. If the cash flow stream lasts forever or is indefinite, then it is called 8. If payment is made and interest is computed at the end of each payment interval, then it is called 9. One way to reduce risk to an acceptable level is through wherein you invest in different types of investments with different risks and returns. 10. If the cash flow happens at the beginning of each period, then it is called.Use the following to answer questions a. – f. a. What is the alpha for Fund B? b. Based on alpha, which fund displays superior performance? c. What is the Sharpe ratio for Fund B? d. Based on the Sharpe ratio, which fund displays superior performance? e. Suppose you are an investment counselor with a new client, Jonsey, and that Funds A and B are the only options available in Jonsey's company sponsored retirement account. Jonsey has no other investments. Which fund would you recommend, and why? f. What additional evidence would make you more confident in your recommendation, that is, more confident that the fund you recommend has the ability to perform in the future? (Hint: The answer has nothing to do with the Treynor Index.)