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- Mr. Dayani purchases an annuity with funds from his savings account on January 1, 2018. The annuity has a 5 year term, and cost him $25,000. Payments are made annually on December 31 in the amount of $5,772. The annuity provides an effective yield of 5%. How much of the annuity payment is taxable in 2018? a. $772. b. $1,250. c. $5,000. d. Nil4. On retirement, Gilbert finds that his share of a pension fund is P1 500 000. If the fund is invested at 6% compounded quarterly, how many years will Gilbert expect to receive P30 to 0 every three months from his investment? 5. At the end of every 6 months for 5 years, Richard deposits P5 000 in a trust fund paying 6% compounded semiannually for his daughter's education. He then allowed the fund to accumulate at the same interest rate for 5 more years without making any more deposits. How much is in the fund after 10 years?1. Cameron designates 10% of his monthly earnings as charitable contributions. After deducting this amount, he deposits 5% of the remaining amount into a money market account earning 2%. If Cameron's monthly earnings are $4,800 what amount interest will he earn on his deposit each month? 2. Find the maturity value for a loan on $4,225 at 8% made on March 5 and due on May 5 of the same year. Assume a 365-day year. 3. Republic Bank advertises their interest rates at 7 % %. You decide to apply for a loan in the amount of $9,000 for 90 days. The bank grants your loan and the loan officer tells you that there is a document preparation fee of $150 that needs to be paid at the time you sign the documents for the loan. Find the APR. Assume a 360-day year. 4. You took out a loan of $5,000 on May 2 and went back on June 15 to make a payment of $1,200. The loan was at 4% for 1 year. What was your remaining balance after making that payment?
- Mr. Bearer may choose to take a lump-sum payment of $25,292.8 now from his insurance policy or an annuity of $3,200 annually as long as he lives. How long must Mr. Bearer anticipate living for the annuity to be indifferent to the lump sum if interest rate is 8%? a. 13 years b.15 years c. 11 years d. 9 yearsNoah invests $600 at the end of each quarter for 30 years in an account paying 5.64% interest compounded quarterly and then he retires. Suppose that he was in the 15% bracket when the deposits were made and interest was earned. Suppose his tax bracket is now 33% in retirement. Find the current after-tax value of Noah's account if it was set-up as (i) a Traditional Individual Retirement Account (IRA): $ (ii)a Roth Individual Retirement Account (Roth-IRA): $1. Indicate which formula is correct to determine the future value of an annuity due. 2. The present value of a $25,000 perpetuity at a 14 percent discount rate is 3. Bill plans to fund his individual retirement account (IRA) with the maximum contribution of $2,000 at the end of each year for the next 20 years. If Bill can earn 12 percent on his contributions, how much will he have at the end of the twentieth year?
- (1)Strahd bought a 20-year annuity-immediate with payment size 350 at an annual effective rate of 4%. Just after receiving the eighth payment, Strahd’s life forever changed and he sold the remainder of the annuity, reinvesting the proceeds in a level-payment perpetuityimmediate. What is the payment size K of this perpetuity?25. Ms. Bates purchased an annuity contract that pays her $120 per month beginning March 1, 2020. The annuity cost her $16,900 and has an expected return of $26,000. How much of this annuity is included in her gross income for 2020?On his 40th birthday, Mr. Ramos decided to buy a pension plan for himself. This plan will allow him to claim P10,000 quarterly for 5 years starting 3 months after his 60th birthday. What one-time payment should he make on his 40th birthday to pay off this pension plan, if the interest rate is 8% compounded quarterly? A. P163,514.33 B. P33,538.38 C. P430,983.52 D. P397,445.14
- 2. Manuel is preparing for an income fund for his retirement. He wants to receive ₱ 15 500 at the beginning of each month for the next 25 years. The income fund pays 10.5% per year compounded monthly. How much must Manuel deposit now to pay for the annuity?Your uncle named you beneficiary of his life insurance policy. The insurance companygives you a choice of $100,000 today or a 12-year annuity of $12,000 at the endof each year. What rate of return is the insurance company offering? (6.11%)Kevin deposits a fixed quarterly amount into an annuity account for his child's college fund. He wishes to accumulate a future value of $90,000$90,000 in 1616 years. Assuming an APR of 3.7%3.7% compounded quarterly, how much of the $90,000$90,000 will Kevin ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.