A financial asset that is guaranteed to pay $10,000 in one lump sum in 4 years is offered for a price of $8,000. In financial terms, is this a good deal assuming that an account that guarantees 4.8% annual interest, compounded monthly, is the best alternative use of the funds?
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- A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?What annual deposit is necessary to have $15,000 in 7 years if all the money is deposited at 1.5% interest compounded annually? (a) State the type. amortization sinking fund ordinary annuity present value of an annuity present value (b) Answer the question. (Round your answer to the nearest cent.) $If you have PhP5,000.00, which of the following investment alternatives would provide the greatestending wealth for your one-year investment? A. 72/100percent simple interestB. 7/10percent compounded annuallyC. 7/10percent compounded semi-annuallyD. 7/10percent compounded quarterly 5. Which of the following statements is true about annuity?A. It is a series of payments of equal amount but made not of equal interval oftime.B. It is a series of payments of unequal amounts, though made at an equalinterval of time.C. It is a series of payments of equal amount made at an equal interval of time.D. None of the above
- You deposited $8,300 in a savings account. The account will earn 8 percent annual compound interest, which will be added to the fund balance at the end of each year. Factors to use for n=10, I =8% (DO NOT USE ANY OTHER FACTORS OR EQUATIONS) Present Value of $1 0.46319Present Value of an Annuity of $1 6.71008 Future Value of $1 2.15892 Future Value of an Annuity of $1 14.48656 What is the total interest earned for the 10 years?A $3,000,000 apartment complex loan is to be paid off in 10 years by making 10 equal annual payments. How much is each payment if the interest rate is 7.5% compounded annually? (a) State the type. A. present valueB.sinking fund C.present value of an annuityD.amortizationE.ordinary annuity (b) Answer the question. (Round your answer to the nearest cent.)In the information given int he following case, determine the number of years that the given oridinay annuity cash flows must continue inorder to provide the rate of return on the intial amount. Initial amount: $26,800 Annual Cash Flow: $6,561 Rate of Return: 6%
- Find the accumulated value of an investment of $10,000 for 3 years at an interest rate of 5.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. Round answers to the nearest cent. a. What is the accumulated value if the money is compounded semiannually? (Round your answer to the nearest cent.)Use the sinking fund formula shown to the right to determine the semiannual payments with 6% interest are compounded semiannually for 4 years to accumulate $17,000. p=Arn1+rnnt−1 The semiannual invested payment is $Use the sinking fund formula shown to the right to determine the monthly payment needed to accumulate $620,000 with 8% interest are compounded monthly for 32 years. p=Arn1+rnnt−1 The monthly invested payment is
- If K40, 000 is deposited at the end of each half year in an account that earns 6.2% compounded semiannually, how long will it be before the account contains k1, 200, 000? b. When you establish a sinking fund, which interest rate is better? Explain.i. (a) 10% (b) 6% ii. (a) 12% compounded monthly (b) 12% compounded annuallyc. If k2500 is deposited at the end of each quarter in an account that earns 5% compounded quarterly, after how many quarters will the account contain k80, 000?d. A lottery prize worth k 2,400,000 is awarded in payments of k 20,000 at the beginning of each month for 20 years. Suppose money is worth 7.8%, compounded monthly. What is the real value of the prize?e. A couple who borrow K90, 000 for 30 years at 7.2%, compounded monthly, must make monthly payments of K610.91. (a) Find their unpaid balance after 1 year.(b) During that first year, how much interest do they pay?f. The first term of a GP represents the number of tins of beans sold in Food Lovers the week before…Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period. $29,488 to be accumulated in 5 years; quarterly payments of $1275. %- The interest rate needed is approximately (Type an integer or decimal rounded to two decimal places as needed.)A company signed an agreement to rent warehouse space for four years at $40,000 per year, payable at the beginning of each year. Assuming an annual interest rate of 6% is appropriate, the present value of an ordinary annuity is 3.46511 × 40,000 = $138,604, and the present value of an annuity due is 3.67301 × $40,000 = $146,920. At which amount should the rental obligation be recorded? $169,600 $160,000 $138,604 O $146,920