You plan to invest $3,500 per year for 39 years into an IRA. What will the value of the IRA be after 39 years if the interest rate is 9% per year? Your answer may vary due to rounding.
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You plan to invest $3,500 per year for 39 years into an IRA. What will the value of the IRA be after 39 years if the interest rate is 9% per year? Your answer may vary due to rounding.
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- (Use Calulator or Formula Approach) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years?An investor may deposit $2,000 into both a traditional IRA and a Roth IRA. After 30 years, given a 9% annual return and a 20% tax rate, what will be the value of each account? Which will be higher and by how much? Why is this?Suppose you deposit $1,000 today (t = 0) in a bank account that pays an interest rate of 7% per year. If you keep the account for 5 years before you withdraw all the money, how much will you be able to withdraw after 5 years? Calculate using formula. Calculate using year-by-year approach. Find the present value of a security that will pay $2,500 in 4 years. The opportunity cost (interest rate that you could earn from alternative investments) is 5%. Calculate using the formula. Calculate using year-by-year discounting approach. Solve for the unknown in each of the following: Present value Years Interest rate Future value $50,000 12 ? $152,184 $21,400 30 ? $575,000 $16,500 ? 14% $238,830 $21,400 ? 9% $213,000 Suppose you enter into a monthly deposit scheme with Chase, where you have your salary account. The bank will deduct $25 from your salary account every month and the first payment (deduction) will be made…
- Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…Suppose you are going to invest $11,000 per year for six years. The appropriate interest rate is 9 percent. What is the future value if the payments are made on the last day of the year? What if the payments are made on the first day of the year? a) $82,756.68; $90,204.78 b) $90,204.78; $82,756.68 c) $49,345.10; $53,786.16 d) $53,786.16; $49,345.10Suppose you are given a choice of the following two securities: (a) an annuity that pays $10,000 at the end of each of the next six years; or (b) a perpetuity that pays $10,000 forever, but the first cash payment is 11 years from today. Which security do you choose if the annual interest rate is 5%? Does your answer change if the interest rate is 10%? Explain why or why not.
- Suppose you just bought an annuity with 11 annual payments of $16,400 at a discount rate of 13.5 percent per year. What is the value of the investment at the current interest rate of 13.5 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. What happens to the value of your investment if interest rates suddenly drop to 8.5 percent? Note: Do not round intermediate calculations and roundShow manual calculations for the below: You have 20 years left for your retirement. You wish to accumulate a sum large enough by that time which will allow you an annual withdrawal of $100,000 every year for 30 years. The average interest rate between now and the 20th year is likely to be 4% p.a. From then onwards, for the next 30 years, it is likely to be 6% p.a. How much should you save in an interest-bearing account at the end of each month to be able to have enough money at the time of retirement which will allow you your desired withdrawal of $100,000 every year for 30 years after retirement? Assume that the interest in the interest-bearing account is compounded monthly.Suppose you just bought an annuity with 12 annual payments of $15,700 at a discount rate of 11.75 percent per year. a. What is the value of the investment at the current interest rate of 11.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. What happens to the value of your investment if interest rates suddenly drop to 6.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. c. What happens to the value of your investment if interest rates suddenly rise to 16.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a. Present value at 11.75 percent b. Present value at 6.75 percent $ 124,187.88 153,795.59 c. Present value at 16.75 percent $ 97,472.81
- Suppose you just bought an annuity with 10 annual payments of $16,500 at a discount rate of 13.75 percent per year. a. What is the value of the investment at the current interest rate of 13.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. What happens to the value of your investment if interest rates suddenly drop to 8.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. c. What happens to the value of your investment if interest rates suddenly rise to 18.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.An investor is considering an investment that will pay $2,170 at the end of each year for the next 10 years. He expects to earn a return of 12 percent on his investment, compounded annually. Required: a. How much should he pay today for the investment? b. How much should he pay if the investment returns are received at the beginning of each year? (For all requirements, do not round intermediate calculations and round your final answers to the nearest whole dollar amount.) a. Present value of ordinary annuity b. Present value of annuity dueExplain the nature of the potential lending losses associated with each of the following: default risk, liquidity risk, and maturity risk. What would you pay for an annuity paying $3,000 per year for 12 years if the interest rate is 10%?