the total dollar amount you will have to pay her back in a year? What approximate percentage of the interest payment is the result of the real rate of interest? (D answers to 2 decimal places, e.g. 17.54.)
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- You've borrowed $6,903.71 and agreed to pay back the loan with monthly payments of $270. Assume the interest rate is 15% stated as an APR. a. How long will it take you to pay back the loan? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. Number of months b. What is the effective annual rate on the loan? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Effective annual rate %You are offered the choice of two annuities. A: Receive $100 every year for the next ten years. The first payment starts one year from today. B: Receive $204 every two years for the next ten years. The first payment starts two years from today. Without calculating the present values of the annuities, explain how you can obtain the rate of interest per annum that would make you indifferent between the two annuities.Imagine you borrow $490 from your roommate, agreeing to pay her back $490 plus 7 percent nominal interest in one year. Assume inflation over the life of the contract is expected to be 4.49 percent. What is the total dollar amount you will have to pay her back in year? What percentage of the interest payment is the result of the real rate of interest? (Do not round intermediate calculations. Round answers to 2 decimal places, e.g. 17.54 or 17.54%.)
- Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (/= interest rate, and n= number of years) 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. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.
- Suppose you purchase a home and obtain a 15-year fixed-rate loan of $195,000 at an annual interest rate of 6.0%. a) What is your monthly payment? N: months I %: P.V: $ PMT: $ F.V: 0 P/Y: 12 C/Y: 12 b) Of the first month's mortgage payment, how much is interest? HINT: I=Prt Interest: I=$ c) Of the first month's mortgage payment, how much is applied to the principal? HINT: PMT - Interest Amount Applied to Principal: $ d) How much is your outstanding balance after the first month’s payment? HINT: Principal - Amount Applied to Principal Outstanding Balance after first payment: $Suppose you are going to receive $17,500 per year for five years. The appropriate interest rate is 10 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2. What is the present value of the payments if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-1. Which has the higher present value, the ordinary annuity or annuity due? c-2. Which has the higher future value? a-1. Present…Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate is 7.6 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2.What is the present value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose you plan to invest the payments for six years. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
- What is the present value of a 3-year annuity of $180 if the discount rate is 7%? . What is the present value of the annuity in (a) if you have to wait an additional year for the first payment? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)For each of the following situations involving annulties, solve for the unknown. Assume that interest is compounded annually and that all annulty amounts are received at the end of each period. (/= Interest rate, and n = number of years) 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. 5. Present Value 248, 196 442,750 650,000 175,000 Annuity Amount $ 5,000 80,000 60,000 155,040 8% 11% 10% n = 5 4 10 4