An annuity-due has 26 payments of $200 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 14 periods. (A) Find the accumulated value of the annuity using the portfolio method. Round your answer to 2 decimal places. (B) Find the accumulated value of the annuity using the yield-curve method.. Round your answer to 2 decimal places.
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- Investments Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $190 interest in I year, at what rate is the $1000 invested?Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,200 is set aside each year and invested in a savings account that pays 20% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 24 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 24. The annuity will extend from the EOY 25 to the EOY 34. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? Click the icon to view the interest and annuity table for continuous compounding when /-20% per year. CODE a. The accumulated savings amount at the end of 24 years will be $ (Round to the nearest dollar.)A state lottery gives a winner the choice of receiving the winning amount in equal monthly payments for 20 years or receiving a lump sum equal to the present value of an annuity with future value equal to the winnings. The winner selecting monthly payments will receive $4,000,000/240 = $16,666.67 each month for each million dollars of winnings. (Round your final answers to two decimal places.) (a) Find the present value of an annuity with monthly payments of $16,666.67, at an Interest rate of 5.2% for 20 years, for the winner who wants a lump-sum payment. $ X (b) In order for the lottery to be more profitable, it is decided to pay the winnings in equal monthly payments for 25 years. Find the monthly payments of $4 million in winnings. $ Find the present value of an annuity with those monthly payments at 5.2% for 25 years. $
- Which of the following statements is CORRECT? The present value of a 3-year, $150 ordinary annuity will exceed the present value of a 3-year, $150 annuity due. If a loan has a nominal annual rate of 8%, then the effective rate will never be less than 8%. If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different. The proportion of the payment that goes toward interest on a fully amortized loan increases over time. An investment that has a nominal rate of 6% with semiannual payments will have an effective rate that is smaller than 6%.Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,600 is set aside each year and invested in a savings account that pays 10% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 23 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 33. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? The accumulated savings amount at the end of 23 years will be $Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,600 is set aside each year and invested in a savings account that pays 8% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 23 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 32. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change?
- What does the statement “interest rate 10%” signify? a The rate is effective per year. b The rate is nominal per year. c The rate is nominal per quarter. d The rate is effective per quarter.QUESTION 1 Muhammad takes out a loan of $ 2,130, at 8% simple interest, for 8 years. How much will he pay back at the end of year 8? QUESTION 2 Calculate the amount of interest on an investment of AED 103,971 at 8% simple interest for 5 years. QUESTION 3 If you deposit today $7,335 in an account for 6 years and at the end accumulate $10,885, how much compound interest rate (rate of return) you earned on this investment ? QUESTION 4 You will deposit 12,025 at 10% simple interest rate for 9 years, and then move the amount you would receive to an investment account at 12 % compound rate for another 3 years. How much money would you have at the end of the entire period ?The factor ( 1 + i ) n in the formula is known as the future-value factor (FVF) or _____________ factor of a single amount. Select one: a. compound-interest b. capital-interest c. original-investment d. variable-interest.
- Suppose that $4000 is placed in a bank account at the end of each quarter over the next 10 years. What is the future worth at the end of 10 years when the interest rate is 9% compounded at the given intervals? a. Quarterly b. Monthly c. Continuously There are a couple solutions out there but they are either not complete or wrong. Please take you time to complete a-c and explain what every aspect is please. Thanks!!Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7% interest rate, the present value of the loan is $. (Round your response to the neareast two decimal place)Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7%interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)
