Given an annual rate of payment of f (t) 50e0.08t at time t for 7 years and a constant force of interest 8 = 6%, Find the PV of this continuously varying payments annuity. Possible Answers A 374 B 376 C 378 D 381 E 383 =
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- 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 annuity(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%?Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?
- Complete the table below by computing for the unknown component of a general annuity. PMT r t Payment interval Compounding period FV PV 1.P900 6% 6.25 yrs. Monthly quarterly ? 2.P1800 11% 8 yrs. Quarterly monthly ? 3.P500 5% 8 yrs. Monthly annually ?Find the quarterly payment if the PV of an Annuity is $6250 the Future Value is $9070 after 8 years and the quarterly interest rate is 1.25%.What is the future value of an annuity due of $800 paid semi-annually for the next 7 years, with a yield of 5% p.a. compounded semi-annually? Select one: a. $13,215.16 b. $6,923.22 c. $11,200.00 d. $13,545.54
- Find the value of the ordinary annuity at the end of the indicated time period. The payment R, frequency of deposits m (which is the same as frequency compounding) annual interest rate r, and time t amount $800 monthly interest rate 5.5%6years what is the future value of the given annuSuppose the interest rate is 9% APR with monthly compounding. Then the present value of an annuity that pays $256 every quarter for the next seven years is closest to: a. $5514 b. $5212 c. $5276 d. $5264Suppose a $100 monthly payment, at a .5% nominal rate per month, for 36 months. Find the present value of this annuity, assuming there is continuous compounding. $34,863.66 $38,863.66 $32,863.66 $32,663.66
- Solve by using formulas. (Round your answer to the nearest cent.) Ordinary Annuity AnnuityPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Future Valueof the Annuity (in $) $4,000 every 6 months 9 9.0 semiannually $calculate the present value (in $) of the ordinary annuity. (Round your answer to the nearest cent.) AnnuityPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Present Valueof the Annuity $3,000 every year 20 5 annually $Suppose an annuity at 5% compounded semi-annually will pay $5000 at the end of each 6-month period for 7 years with the first payment deferred for 13 years.(a) What is the number of payment periods and the number of deferral periods?(b) What is the interest rate per period?(c) Find the present value of this annuity.