Billy and Mandy Eastwood recently divorced, and Mandy has custody of their 5-year-old daughter. As part of the divorce settlement, Billy must pay Mandy $3,000 at the end of each half year until their daughter reaches age 16. Billy decides to put a lump sum into an account with a guaranteed yield of 5% compounded semiannually. Find the lump sum deposit he must make today to equal the balance of the annuity after 13 years.
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3.
Billy and Mandy Eastwood recently divorced, and Mandy has custody of their 5-year-old daughter. As part of the divorce settlement, Billy must pay Mandy $3,000 at the end of each half year until their daughter reaches age 16. Billy decides to put a lump sum into an account with a guaranteed yield of 5% compounded semiannually. Find the lump sum deposit he must make today to equal the balance of the
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- Minnie owns a qualified annuity that cost 78,000. The annuity is to pay Minnie 650 per month for life after she reaches age 65. Minnie turns 65 on September 28, 2019, and receives her first payment on November 1, 2019. a. How much gross income does Minnie have from the annuity payments she receives in 2019? b. Shortly after receiving her payment on October 1, 2034, Minnie is killed in an automobile accident. How does the executor of Minnies estate account for the annuity on her return for the year 2034? c. Assume that the accident does not occur until November 1, 2043. How does the executor of Minnies estate account for the annuity on her 2043 return?Alan wants to save money for his daughter's graduation gift. He deposits 825 pesos at the end of each year in an ordinary annuity that pays 8% interest, compounded annually. Do not round any intermediate computations nor answers. Find the total value of the annuity at the end of the 2nd year.The terms of a single parent's will indicate that a child will receive an ordinary annuity of $12,000 per year from age 18 to age 24 (so that the child can attend college) and that the balance of the estate goes to a niece. If the parent dies on the child's 12th birthday, how much money must be removed from the estate to purchase the annuity? (Assume an interest rate of 7%, compounded annually. Round your answer to the nearest cent.)
- Denise has $180,983 saved for her upcoming retirement and will make no further contributions. She wants to allow these funds to accumulate additional interest until her savings are sufficient to allow her to purchase an annuity that will pay $5,000 at the start of every quarter for 20 years. If her funds earn 5% compounded semiannually during both the period of deferral and the annuity period, how long will it be before Denise’s first $5,000 payment can be received?Dan and Mary Foster just divorced. The divorce settlement included $650 a month payment to Dan for the 4 years until their son turns 18. Find the amount Mary must set aside today in an account earning 12% per year compounded monthly to satisfy this financial obligation.Michael and Ellie plan on retiring 32 years from today. At that time, they plan to have saved the same amount. Michael is depositing $18,000 today at an annual interest rate of 4.2 percent. How will Ellie's deposit amount vary from Michael's if Ellie also makes a deposit today, but earns an annual interest rate of 3.2 percent? Ellie's deposit will need to be than Michaels. (Assume annual compounding on both accounts.) O $4,118.42 more $6,506.94 more $3,417.09 more $4,702.92 less None of the above
- Mike joins a savings program where he deposits $1000 at the beginning of each year for 25 years, In return, he will earn a perpetuity paying $6300 per year with the first payment at the end of the 30th year. The effective interest rate is 5% for the first 20 years and 8% afterward • a) Will Mike have accumulated enough to fund the perpetuity? • b) If your answer above is no, find the unique extra deposit X that Mike has to make at the end of the 28th year in order to fund the perpetuity + Drag and drop an image or PDF file or click to browse.On the day his son was born, a father deposited to a trust company a sufficient amount of money so that his son could receive money in the future. There was a provision that the son can withdraw an amount of P10,000 each year for 3 years starting on his 18th birthday and P15,000 eight months after the last withdrawal. The interest rate is 5% compounded monthly. How much money can he receive on his 18th birthday, if he decided to withdraw all the money at once?On the day his son was born, a father deposited to a trust company a sufficient amount of money so that his son could receive money in the future. There was a provision that the son can withdraw an amount of P10,000 each year for 3 years starting on his 13th birthday and P16,600 ten months after the last withdrawal. The interest rate is 6% compounded monthly. What is the effective interest rate? How much did the father deposit? How much money can he receive on his 13th birthday, if he decided to withdraw all the money at once?
- Jim deposits $12.4,000 annually into a life insurance fund for the next 5 years, at which time he plans to retire. Instead of a lump sum, Jim wishes to receive annuities for the next 20 years. What is the annual payment he expects to receive beginning the year he retires if he assumes an interest rate of 8.8 percent for the whole time period? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)Carol and Amy Glaser recently divorced. As part of the divorce settlement, Carl must pay Amy $1000 at the end of every quarter for 8 years. Find the lump sum he must deposit into an account earning 8% per year compounded quarterly to make the payments.On the day his son was born, a father deposited to a trust company a sufficient amount of money so that his son could receive money in the future. There was a provision that the son can withdraw an amount of P10,000 each year for 3 years starting on his 18th birthday and P15,000 eight months after the last withdrawal. The interest rate is 5% compounded monthly. 1. What is the effective interest rate? 2. How much did the father deposit? 3. How much money can he receive on his 18th birthday, if he decided to withdraw all the money at once?