1. Emily and Jimmy each make deposits of 150 at the end of each year for 30 years. Starting at the end of the 31st year, Emily makes annual withdrawals of K for 10 years and Jimmy makes annual withdrawals of L for 10 years. Both funds have a balance of 0 after the last withdrawal. Emily's fund earns an annual effective interest rate of 8%. Jimmy's fund earns an annual effective interest rate of 6%. Calculate K-L\ Solution:
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- Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 224. John makes deposits of 1,100 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 30,102.71 at the end of each year for 15 years. The annual effective interest rate is 13%. Calculate n. a. n = 24 b. n = 26 n = 28 d. n = 20 e. n = 18 نه ن ن ف قMs Oksana Doe has just inherited an investment account worth $2,800,000 from her grandparents. The fund earns an annual interest rate of 6%. She plans to make uniform annual withdrawals from the account over the next 25 years. Answer the following two questions: 1. How much will each annual withdrawal be? OA. $223,160 OB. $47,320 OC. $50,960 OD. $232,120 OE. $218,960 2. What will be the balance in the account immediately after making the 8th annual withdrawal? OA. $1,359,698 OB. $1,048,320 OC. $2,294,110 O D. $2,431,991
- Mia will retire 10 years from now and wants to establish a fund today that will pay $30,000 cash at the end of each of the first five years after retirement. Specific dates are these: date of a single deposit by Mia, January 1, year 1; date of first cash payment from the fund to Mia, December 31, year 11. The fund will pay 10% compound interest. How much cash must Mia deposit on January 1, year 1, to provide the five equal annual year-end cash payments from the fund?3. Lauren deposits: ● $240 at the beginning of year 1; $220 at the beginning of year 2; • $100 at the beginning of year 8; I into a fund. Three year after the last deposit, Lauren withdraws the accumulated value of the fund and uses it to buy a perpetuity-immediate with level payments of Z at the end of each year. All calculations assume an annual interest rate of 10%. Calculate Z. Solution:Mia will retire 10 years from now and wants to establish a fund today that will pay $48,000 cash at the end of each of the first five years after retirement. Specific dates are these: date of a single deposit by Mia, January 1, year 1; date of first cash payment from the fund to Mia, December 31, year 11. The fund will pay 10% compound interest. How much cash must Mia deposit on January 1, year 1, to provide the five equal annual year-end cash payments from the fund? $Answer
- carlos Contributed equal deposit at the end of every month for four years into an investment fund he then decided to stop making payments and left the money in the fund to grow for another three years the fan was earning 4.81% compounded monthly for the entire period and then accumulated amount at the end of the term was $80,000 a. calculate the amount in the fund at the end of the four years. b. calculate the size of the periodic deposit into the fund.At time 0, Heather invests $750 into Fund A that pays a varying force of interest of 0.09t until the end of the third year; after the third year, it pays an annual effective discount rate of 5.5% for three more years. Jane deposits $900 into Fund B that pays a constant force of interest, δ, for the first four years, and after that, pays an annual effective interest rate of 8.5% for three more years. Over the duration of her investment, Heather earned 25% more interest than Jane earned over the duration of her investment. Calculate δ.Ann deposits 10,000 into a fund earning an annual simple interest rate of 6%. Mike deposits X into a fund earning an annual simple interest rate of 8%. Each year, Ann earns twice the interest of that Mike does. Calculate X.
- Mrs. Quiton deposited Php 120,000.00 into a college fund at the beginning of every month for 10 years . The fund earns 9% annual interest , compounded monthly . She paid at the end of the month . How much is in the account right after the last deposit ? 1. What is the type of annuity illustrated in the given problem? A. Simple Annuity B. General Annuity C. Deferred Annuity D. Complex Annuity 2. Determine the present value of the deposit. A. Php 12,000.00 B. Php 30,000.00 C. Php 60,000.00 D. Php 75,000.00Courtney contributed $4,500 at the end of every 3 months, for 5 years, into a Registered Retirement Savings Plan (RRSP) earning 2.50% compounded quarterly. a. What is the future value of the fund at the end of 5 years? Round to the nearest cent b. What is the amount of interest earned over the 5-year period? Round to the nearest centBrittany contributed $3,750 at the end of every 3 months, for 5 years, into a Registered Retirement Savings Plan (RRSP) earning 3.50% compounded quarterly. a. What is the future value of the fund at the end of 5 years? $0.00 Round to the nearest cent b. What is the amount of interest earned over the 5-year period? $0.00 Round to the nearest cent