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- Spivey just won the Powerball lottery! The $20,000,000 jackpot will be paid in 20 annual installments of $1,000,000 each, with the first payment to be paid immediately. Spivey’s opportunity cost of capital (interest rate) is 6% per year. What is the present equivalent of Spivey’s lottery winnings at the time of the first payment?A wealthy business Mr. Tan wants to start a permanent fund for supporting research directedtoward sustainability. The donor Mr. Henry plans to give equal amounts of money for each of thenext 5 years plus one now, so that P100,000 per year can be withdrawn each year forever. Beginning inyear 6. If the fund earns interest at a rate of 8% per year. How much money must be donated eachtime? What would be the formula and the cashflow diagram?7. Find the PV of $1000due in 5 years if the discount rate is 10% per year. (Assume this is a single payment not an annuity).
- What is the amount of capital that earns simple interest: a) $1500 at 18% per year in 10 months?b) $8500 at 22% per year in 3 years and 4 months?Mr. Garcia will invest Php1,170.67 per quarter at 6% compounding quarterly until his retirement. The amount is paid at the end of each quarter. How much money (future value) will be in his account after his retirement in 35 years?Solve all A 40-year-old Ministry of Finance officer is planning to save money for retirement. He intends to deposit 5% of his salary. 1. In the present year, he deposited 600,000 baht from his salary, and after this he intends to deposit another 50,000 baht a year every year from year 1 to year 10. At the end of 10 years, how much will he have in the account with the interest rate of 6% per year? 2. If he changes his mind to start saving at the age of 45, how much will he have to deposit with the same amount per year in order to get the equal equivalent amount as the amount received from the first form of deposit?
- Suppose an initial investment of $100 will remain $50/year fo r three years (assume the $50 is received each year at the end of the year). Is this a profitable investment?An investor is considering to buy a 20-year corporate bond. the bond has a face value of $ 1M and pays 6% interest per year in 2 semi-annual payments. thus the purchaser of the bond would receive $ 30 000 every 6 months and in addition he would receive $ 1M at the end of 20 years, along with the last $ 30 000 interest payment. If the investor thought he should receive 8% interest, compounded semi-annually, how much would he be willing to pay for the bond? Ans. ($802,072)12. Compare the accumulated amount after 5 yrs of P1,000 invested at the rate of 10% compounded a. Annually; b. Semi-annually; c. Quarterly; d. Monthly; e. Daily; and f. Continuously.
- A bond with a face value of $10,000 pays interest of 8% per year. This bond will be redeemed at its face value at the end of ten years. How much should be paid now for this bond when the first interest payment is payable one year from now and a 9% yield is desired?A man wants to make 14% nominal interest compounded quarterly on a bond investment. How much should the man be willing to pay now for a 12% Php 10,000-bond that will mature in 10 years and pay interest quarterly? (Answer is in Php.) Note: Input numerical value only, do not type the units, space, or comma.When you were born, your grandfather established a trust fund for you in the Cayman Islands. The account has been earning interest at the rate of 10% per year. If this account will be worth $100,000 on your 25th birthday, how much did your grandfather deposit on the day you were born? (a) $4,000 (b) $9,230 (c) $10,000 (d) $10,150 (e) $10,740.