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- How much would your investment be worth if you deposited $5,555.55 into a bank that paid simple interest of 4% for 10 years?If money is not an economic resource, why is interest paid and received for its use? What considerations account for the fact that interest rates differ greatly on various types of loans? Use those considerations to explain the relative sizes of the interest rates on the following:a. A 10-year $1000 government bond.b. A $20 pawnshop loan.c. A 30-year mortgage loan on a $145,000 house.d. A 24-month $12,000 commercial bank loan to finance the purchase of an automobile.e. A 60-day $100 loan from a personal finance company.What is the maximum interest rate the borrower will pay during the 30-year term for this loan? If the interest rate is at its maximum, what would the MTA index have to be to reach the maximum interest rate?
- As an incentive to attract savings deposits, most financial institutions today offer daily and even continuous compounding. This means that savings, or passbook, accounts, as well as certificates of deposit (CDs), earn interes compounded each day or even more frequently, such as every hour or even every minute. (Continuous compounding, in which compounding occurs every instant, involves a different formula that is derived from the formula we've been using.) Let's take a look at daily compounding. To calculate the compound amount, A, of an investment with daily compounding, use the compound interest formula modified as follows: • Rate per period (daily) i (nominal interest rate, i, divided by 365 365) • Number of periods (days), n, number of days of the investment. %3D n i A = P 1 + 365 Calculator Sequence: (1 + ( i ÷ 365 ) ) y* n x P = A. (Round your answers to the neare cent.) (a) On April 13, Thomas Ash deposited $2,400 in a passbook savings account at 3.5% interest compounded daily.…Louis visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 1/2%. How long will it take in years? B. How long will it take in months? Loius Carroll .......years ....... MonthsIf a borrower took out a loan 3 years ago with a fixed interest rate of 1.5%, who is the winner today the lender or the borrower? Why? Make sure to cite a source in your response.
- The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. If a loan's annual simple discount rate is 7.56%, how many years would it take for the debt to double? (This is called the doubling time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?15. Mortgage payments Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You've decided to buy a house that is valued at $1 million. You have $300,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $700,000 mortgage, and is offering a standard 30-year mortgage at a 12% fixed nominal interest rate (called the loan's annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate in percentage form to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a…What is the yield to maturity on a simple loan for $1 million that requires a repayment of $2 million in five years’ time?
- Find the future value of the following annuities. The first payment in these annuities is made at the end of Year 1, so they are 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 FV, and find the FV 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…13. Mortgage payments Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You've decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $900,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loan's annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $900,000…I already have the values I just need someone to explain the calculations, such as what numbers are used to get the future values in each problem. Specifically how to multiply the annuities and interest rates to get the future values and for the last one explain how it is calculated with the interest after the annuity due stops
