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- 1. you are earning 7% annually and contributing the max allowable each year: if you want to have at least $1,000,000 in your IRA by age 60, what is the latest age you can start investing? b. Suppose you invest $3,000 and earn 7% interest per year on this investment. How many years will it take for your total investment to be worth $6,000 c. imagine the interest rate on your savings account was 0.5% per year and inflation was 2% per year. After one year, your ability to buy something with the money in this account with be: Question options: more than today less than today exactly the same impossible to sayTom's retirement account in a company currently totals $ 416,384. What perpetual income can Tom and his heirs receive pee year if he retires now and the moneu is invested in an annuity earning 6% interest? A. $20,980 B. $24,980 C. $22,980 D. $26,980An investment makes payments at the end of each year into perpetuity. Assume that the payments increasing by 2% each year. Using an annual effective interest rate of 5%, calculate the Macaulay duration of this investment in years. Possible Answers A 27 B 35 c 44 D 52 E 58
- The present value of a series of $5 at the end of every 5 years, forever, is equal to $20. i. Calculate the effective rate of interest. ii. What is the accumulated value of $9400 invested for 10 years after a 6% discount is paid at the beginning of the investment period? Please i need answer for only subpart iiConsider a 529 (college savings) plan that will pay $20,000 once a year for a 4-year period (4annual payments). The first payment will come in exactly 5 years (at the end of year 5) and thelast payment in 8 years (at the end of year 8). What is the duration of the pension obligation? The current interest rate is 8% per yearfor all maturities.What are the annual payments necessary to pay a P1,000,000, 12-year loan if the loan rate is 8 %? * a. P80,333. b. P190,968 c. P80,000. d. P132,700.
- Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) = x10 Lorenz curve for 1963 g(x) = x13 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. .... What is the Gini index for 1963? (Round to three decimal places as needed.) What is the Gini index for 1983? (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 O B. Total assets were more equally distributed in 1983 O c. Total assets were distributed the same in 1963 as in 1983."Lin is wants to earn an amount of $45573. She heard that ABC Bank is accepting investments to be compounded continuously at 6.32% interest per annum. If Lin currently has only $4117, how many years should she wait to reach the amount she wants?" 88 B 26 38 D 58 E 66Suppose you are offered the alternative of receiving either $2,500 at the end of 6 years or $1,200 today. What interest would make you indifferent to your choice between $1,200 and the promise of $2,500 at the end of sixyears? OA 6% OC 13% OD 12% QUESTION 10 What single payment at the end of year 8 is equivalent to an equal annual series of payments Of $600 beginning at the end of yea r 3 and ending at the end of year 12? The interest rate is 20% compounded annually. 12 $600 44 4 4 44444 QUESTION 10 What single payment at the end of year 8 is equivalent to an equal annual series of payments Of $600 beginning at the end of yea r3 and ending at the end of year 12? The interest rate is 20% compounded annually $600 12 OA S4,347 OB 55216 OC S7511 OD S0.250
- Student Emergency Financial Services, Inc.,which makes small loans to college students, offersto lend $550. The borrower is required to pay $42 atthe end of each week for 16 weeks. Find the interestrate per week. What is the nominal interest rate peryear? What is the effective interest rate per year?n Padayappa has now retired after 40 years of employment. He just made an annual deposit to his investment portfolio and realized he has $2,500,000 (not counting home, cars, furniture, etc.). His money has been earning 7 percent per year, and inflation has been running 4 percent per year over the past 40 years. Part a Part b @ 2 Your answer is incorrect. What is the buying power of his $2,500,000 in terms of a base 40 years ago? $ Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is ±50. Attempts: 2 of 3 used Submit Answer Save for Later 61 3 + F3 W E S D F4 $ 4 R F с F5 % 5 T F6 6 Y F7 & 7 G H FB U * 8 J 8 F9 XCVBN M 09 ( 9 F10 K *- ) F11 0 *+ P F12 11 84°F Mostly c PrtSc { + 11 CA car dealership offers you no money down on a new car. You may pay for the car for 3 years by equal monthly end-of-the-month payments of $735 each, with the first payment to be made one month from today, If the discount annual rate is 17.45 percent compounded monthly, what is the present value of the car payments? Round the answer to two decimal places.