Valuing Delayed Annuities Suppose that you will receive annual payments of $18,650 for a period of 26 years. The first payment will be made 7 years from now. If the interest rate is 10.50%, what is the value of the annuity in year 6, what is the current value of this stream of cash flows? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of the Security in Year 6 Value of the Security today LA LA
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityDirections: Determine the kind of annuity used in the following situations. Then, solve the problem. Show complete solutions. What equal payments at the beginning of each 2 months for 4 years will discharge a debt of P180,000 due now if the interest rate is 18.48% compounded every 2 months? a. Kind of annuity: b. Computation:
- Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposits. (Round your answer to the nearest cent.) Amount of Deposit Frequency Rate Time m n annually 1% 30 уг $800 Need Help? Read It %24Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $450 is deposited monthly for 20 years at 7% per year FV = $
- Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $2,300 is deposited quarterly for 10 years at 7% per year FV = $What is the future value (at the end of 8 years) of an annuity that pays $700 a quarter over 8 years with the payments invested at 9.3% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer: CheckCalculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 years
- ← a. Use the appropriate formula to find the value of the annuity. b. Find the interest. Periodic Deposit $80 at the end of every six months iClick the icon to view some finance formulas. Rate Time 6.5% compounded semiannually 25 years a. The value of the annuity is $ 9720. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The interest is $ (Use the answer from part (a) to find this answer. Round to the nearest dollar as needed.)Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $1,400 is deposited quarterly for 10 years at 2% per year FV = $ Find the effective annual interest rate r (as a percent) of the given nominal annual interest rate. Round your answer to the nearest 0.01%. 13% compounded daily (assume 365 days per year) r =Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $130 deposited monthly for 20 years at 3% per year in an account containing $18,000 at the start