If money is worth 7%, obtain the present value of a perpetuity of P64,500.00 payable annually when the first payment is due at the end of 5 years. O a. P702,945.00 O b. P702,954.00 O c. P720,954.00 O d. P702,495.00
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- Suppose that $12,000 is placed in a bankaccount at the end of each quarter over the next 15years. What is the future worth at the end of 15 yearswhen the interest rate is 8.5% compounded at thegiven intervals?(a) Quarterly(b) Monthly(c) ContinuouslyPlease no written by hand and no emage You owe UJ R1 000 due in three years from now and R8 000 due in five years from now. He wishes to reschedule his debt so as to pay two sums on different dates, one, say X, in one year from now, and the other, which is twice as much (ie 2X), five years later. UJ agrees, provided that the interest rate is 18% per annum, compounded quarterly. What are your payments?Suppose you have the alternative of receiving either $15,000 at the end ofseven years or P dollars today. Currently, you have no need for the money, soyou could deposit the P dollars into a bank account that pays 6% interest compounded annually. What value of P would make you indifferent in your choice between P dollars today and the promise of $15,000 at the end of seven years?
- 1. Given the cash flow diagram as shown, if interest is 5%, determine the equivalenttotal present and accumulated amount. 2. How much do you need to deposit today into an account that pays 3% per year sothat you can make 10 equal annual withdrawals of P1000, with the first withdrawalbeing made seven years from now? 3. Four-year lease agreement requires payments of P10000 at the beginning of everyyear. If the interest rate is 6% compounded monthly, what is the cash value of thelease?Suppose you purchased a corporate bond with a 10-year maturity. a $1,000par value, a 10% coupon rate, and semiannual interest payments. What all this means that you receive $50 interest payment at the end of each six-month period for 10 years (20 times). Then, when the bond matures, you will receive the principal amount (the face value) in a lump sum. Three years after the bonds were purchased, the going rate of interest (coupon rate) on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (3 years after the purchase)?A small business with an initial outlay of $ 12,000 yields$ 10,000 during the first year of its operation and the yield increases by$. 1,000 from its second year of operation up to its 10th year of operation. Atthe end of the life of the business, the salvage value is zero. Find the presentworth of the business by assuming an interest rate of 18%, compoundedannually.
- Pls solve for the ordinary annuity of the following: Joe deposits $22,000 at the end of each year for 7 years, in an account paying 6 % compounded annually, how much will he have on deposit after 7 years? Ans: $184,664.43 Napoleon deposits $1,200 at the end of each quarter for 10 years, in an account paying 8 % compounded quarterly, how much will he have on deposit after 10 years? Ans: $72,482.38 Jose wants to retire in twenty years and for this purpose he is depositing $200 at the end of each month in a sinking fund that pays 7.2% compounded monthly. If he will be doing this for twenty years, then how much money will be there for him when he retires? Ans: $106,752.47You plan to retire in 15 years. After retirement you will need $20,000 per yearfor 20 years. If interest remains at 8% compounded annually, how much shouldyou deposit each year until retirement? (Note that you will make a total of 15 endof-year deposits, and your first withdrawal will be made at the end of 16th year.)(a) $13,091 (b) $7,811(c) $6,993 (d) $7,2322.4 A man wishes to provide a fund for his retirement such that from his 60th to 70th birthdays hewill be able to withdraw equal sums of P18,000 each for his yearly expenses. He investsequal amounts from his 41st to 59th birthdays in a fund earning 10% compounded annually.How much should each of these amounts be?
- Find the present worth today in real value corresponding to the cur- rent values shown below for a 4 percent ination rate and a 4 percent interest rate. a. $400 three years from now b. $400 three years ago c. $10 next year d. $350 983 in 10 years from now e. £1 one thousand years ago the answer is 292 f. $1 000 000 000 three hundred years from now5. Mr. Jo needs P 4,000,000 immediately to pay for a new home. Having insufficientfund for this, he borrows P 2,000,000 from an insurance company and repay the loanevery six months for 15 years, the first payment being at the end of 8 years from now.If the insurance company charged him 8% compounded semiannually, how much isthe amount of each payment?Which of the following investment options willmaximize your future wealth at the end of 18 years?Assume any funds that remain invested will earn anominal rate of 12% compounded monthly.(a) Deposit $8,000 now.(b) Deposit $120 at the end of each month for thefirst 12 years.(c) Deposit $105 at the end of each month for 18years.(d) Deposit a lump sum in the amount of $35,000 atthe end of year 12.
