Homer promises Bart that he will give him $8,000 upon his graduation from college in 13 years at Springfield U. How much must Homer invest today to make good on his promise, if Homer can earn 6% on his money?
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Present value of investment is the value of investment after discounting them using the required rate of return at the present. It will consider the effect of time value of money.
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- Keith Stone has a 10-year-old daughter, Kate, who will be entering college in 8 years. Keith estimates college costs to be $16,000, $17,000, $18,000, and $19,000 payable at the beginning of each of Kate's four years in college. How much must Keith save each year (assume end-of-year payments) for each of the next 8 years to have enough savings to pay for Kate's education? Assume Keith can earn 9% on his savings.A father wants to help provide a college education for his young son. He can afford to invest $600/yr. for the next 4 years, beginning on the boy’s fourth birthday. He wishes to give him $4000 on her 18th, 19th, 20th, and 21st birthdays, for a total of $16,000. Assuming 5% interest, what uniform annual investment will he have to make on the son’s 8th through 17th birthdays?Santo plans to invest his money for 10 years for his son's university education. His son Brian is 10 years old and plans on attending Concordia when he is 20 years old. Santo has just deposited $20,000 into his Tax-Free Savings Account (TFSA). He expects to earn a rate of 4%, compounded monthly for the first 6 years, and 3.5%, compounded quarterly thereafter. How much money will Santo have in 10 years? $27,411 $28,437 $25,099 $29,216 $26,908
- A man wants to help provide a college education for his young daughter. He can afford to invest $1500/yr for the next 5 years, beginning on the girl’s 5th birthday. He wishes to give his daughter $10,000 on her 18th, 19th, 20th, and 21st birthdays, for a total of $40,000. Assuming 6% interest, what uniform annual investment will he have to make on the girl’s 9th through 17th birthdays?Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program. Jamal has one year to save enough for his first year's contributions. Complete each statement to show how much Jamal will need to save each month based on his current savings. a. If Jamal currently has $0 in savings, he will need to save how much? b. If Jamal currently has $1,000 in savings, he will need to save how much? c. If Jamal currently has $2,000 in savings, he will need to save how much?To pay for his college education, Lana is saving $2,000 at the beginning of each year for the next eight years in a bank account paying 12% interest. How much will Lana have in that account at the end of 8th year? $16,000 $24,600 $17,920 $27,552
- Robert has inherited some money from his great-grandfather. He will get $5,533.00 when he graduates college (at age 22) and an additional $13,597.00 at the age of 25. He is currently 20 years old. Robert will invest each cash flow in an account that pays 6.00% APR. What will be the future value of this account if he keeps it invested until he turns 30?Susan gets a job upon completion of her MSME degree with a mechanisms design firm. Her starting salary is $70,000; each successive year she gets a 5% raise. Assuming she deposits 10% of her salary each year into a fund earning 8% interest, how much money will she have in 10 years for donation to her university?A man who won 730,000 pesos in a lottery decided to place 50% of his winnings in a trust fund for the college education of his son. If the money will earn 14% a year compounded quarterly, how much will the man have at the end of 6 years, when his son will be starting his college education?
- After graduating from school, Carl, 30 years old, wants to make a retirement plan for his future with the 50000$ money his father gave him for graduation. In this retirement planning, he wants to pay the plan's payments in cash, the amount his father gave him, and pay the rest in 20 equal annual installments. In the pension plan, the retirement age is set at 70. He wants 300000 $ retirement bonus in the year he retires, 200000 $ death guarantee for life after retirement, and also 25000 $ pension for 10 years at the beginning of each year in his retirement. Interest rate is 6% and according to 1958 CSO Mortality table 1. Find the annual premium payments.After graduating from school, Carl, 30 years old, wants to make a retirement plan for his future with the 50000$ money his father gave him for graduation. In this retirement planning, he wants to pay the plan's payments in cash, the amount his father gave him, and pay the rest in 20 equal annual installments. In the pension plan, the retirement age is set at 70. He wants 300000 $ retirement bonus in the year he retires, 200000 $ death guarantee for life after retirement, and also 25000 $ pension for 10 years at the beginning of each year in his retirement. Interest rate is 6% and according to 1958 CSO Mortality table 1. Write the actuarial equivalence formula 2. Find the annual premium payments. 3. What is the 5th year end reserve of this pension plan. 4. What is the 45th year end reserve of this pension plan. 5. If Carl Bey gives up his current rights 5 years after his retirement and wants a plan where he will be paid a pension for only 10 years at the beginning of each year, how much…A first-year engineering student wants to have $30,000 at graduation 4 years from now to buy a new car. His grandfather gave him $10,000 as a high school graduation present. How much must the student save each year if he deposits the $10,000 today and can earn 12% on both the $10,000 and his earnings in a mutual fund his grandfather recommends?