a. If LIBOR rises at the rate of 50 basis points per 6-month period, starting tomonow, how much does Heather save or cost her company by making this swap? b. If LIBOR falls at the rate of 25 basis points per 6-month period, starting tomorrow, how much does Heather save or cost her company by making this swap?
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- キミオヤエイノト The following table shows annual rates for various types of loans in 2021. Assume monthly payments and compounding periods. HINT [See Examples 5 and 7.] You purchased a new car using a 5-year $45,000 loan in 2021. With the same monthly payments, how much could you have financed had the interest rate been 9.00%? (Do not round the payment amount to the nearest cent. Round the final amount you could have financed to the nearest cent.) With the same monthly payments, how much could you have financed had the interest rate been 9.50%? (Do not round the payment amount to the nearest cent. Round the final amount you could have financed to the nearest cent.) Loan Type 30-Year 15-Year Mortgage Mortgage New Car Used Car Loan Credit Loan Cards Rate 3.03% 2.30% 9.20% 9.45% 13.99%(Comprehensive problem) You would like to have $59,000 in 15 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 9 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn percent on this deposit.) c. At the end of five years, you will receive $20,000 and deposit this in the bank toward your goal of $59,000 at the end of year 15. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 9 percent on your deposits.) a. How much must you deposit annually to accumulate this amount? C(Comprehensive problem) You would like to have $58,000 in 15 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 8 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 8 percent on this deposit.) c. At the end of five years, you will receive $20,000 and deposit this in the bank toward your goal of $58,000 at the end of year 15. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 8 percent on your deposits.) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual…
- The interest rate is 3.6% per annum (p.a.). We want to save 100,000 kroner by making fixed payments at the beginning of each month, the first 1 June 2022. a) How much must you pay in each month if you want to have achieved the savings amount immediately after the payment on 1 January 2026? b) Ida starts by depositing 2000 kroner on 1 June 2022 and then she increases the payment amount by five percent for each payment. How much does Ida have in her account on January 1, 2026?(Comprehensive problem) You would like to have $52,000 in 15 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 8 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 8 percent on this deposit.) c. At the end of five years, you will receive $15,000 and deposit this in the bank toward your goal of $52,000 at the end of year 15. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 8 percent on your deposits.) * a. How much must you deposit annually to accumulate this amount? $(Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual…(Comprehensive problem) You would like to have $52,000 in 16 years To accumulate this amount, you plan to deposit an equal sum in the bank mach year that will our 7 percent interest compounded annually Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 7 percent on this depost) c. At the end of five years, you will receive $10,000 and deposit this in the bank toward your goal of $52,000 at the end of year 16 In addition to the lump sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 7 percent on your deposits) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cont) b. If you decide to make a large lump-sum deposit today instead of the annual deposits,…
- A loan of $77,800 is due 10 years from today. The borrower wants to make annual payments at the end of each year into a sinking fund that will earn compound interest at an annual rate of 10 percent. Required: a. What will the annual payments have to be? Note: Do not round intermediate calculations and round your final answer to the nearest whole dollar amount. b. Suppose the investor makes the payments monthly instead. How much would they need to pay each month? Note: Do not round intermediate calculations and round your final answer to 2 decimal places. c. If payment was made by making monthly payments with monthly2. (From section 6.2) You want to be able to withdraw $50,100 from your account each year for 20 years after you retire. You expect to retire in 35 years. If your investment account earns 5.5% interest, how much will you need to deposit into the account at the end of each year until you reach retirement to achieve your retirement goals? (a) The first part is finding how much we need to have in the account by the time we retire. Which formula will you use first? Circle one. Annuity Payout-Annuity (b) What are the following variables that we will need for the formula? PMT = n = t = r = A or Po = (c) Write the formula you will use with the numbers plugged in below. (d) Solve using your calculator or technology and round to two decimal places. Work is not required here. Write the answer here and state which variable you solved for. (e) Using your own words, describe what you found by solving the equation in terms of the word problem given.(Comprehensive problem) You would like to have $57,000 in 13 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 8 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 8 percent on this deposit.) c. At the end of five years, you will receive $15,000 and deposit this in the bank toward your goal of $57,000 at the end of year 13. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 8 percent on your deposits.) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cent.)
- (Related to Checkpoint 5.2) (Future value) (Simple and compound interest) If you deposit $1,000 today into an account earning an annual rate of return of 11 percent, in the third year how much interest would be eamed? How much of the total is simple interest and how much results from compounding of interest? GE If you deposit $1,000 today into an account eaming an annual rate of retum of 11%, in the third year how much interest would be eamed? (Round to the nearest cent)Suppose that you wish to buy a new home that will cost you $452,847. You must put $80,000 down, and the bank offers you a 5-year 5.1% APR negative amortization loan with a payments $1,258 per month, and a balloon payment of $92,233 (your 360th payment). How much will your remaining payments be?(Comprehensive problem) You would like to have $52,000 in 12 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 10 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 10 percent on this deposit.) c. At the end of five years, you will receive $20,000 and deposit this in the bank toward your goal of $52,000 at the end of year 12. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 10 percent on your deposits.) a. How much must you deposit annually to accumulate this amount? $(Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual…