(Present value of a growing perpetuity) What is the present value of a perpetual stream of cash flows that pays $50,000 at the end of year one and then grows at a rate of 8% per year indefinitely? The rate of interest used to discount the cash flows is 10%. The present value of the growing perpetuity is $. (Round to the nearest cent.)
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![(Present value of a growing perpetuity) What is the present value of a perpetual stream of cash flows that pays $50,000 at the end of year one and then grows at a rate of 8% per year indefinitely? The rate of interest used to discount the cash flows is 10%.
The present value of the growing perpetuity is $. (Round to the nearest cent.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0931450f-268a-4e97-b45b-ca52a8c8382a%2Fcd6d1308-9a26-4ad3-a249-165655c070f5%2Fb5hmwa_processed.png&w=3840&q=75)
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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%?(Present value of a growing perpetuity) What is the present value of a perpetual stream of cash flows that pays $3,500 at the end of year one and the annual cash flows grow at a rate of 4% per year indefinitely, if the appropriate discount rate is 15%? What if the appropriate discount rate is 13%?
- What is the present value of a perpetual stream of cash flows that pays $80,000 at the end of year one and then grows at a rate of 6% per year indefinitely? The rate of interest used to discount the cash flows is 10%. The present value of the growing perpetuity is $enter your response here. (Round to the nearest cent.)What is the present value of a perpetuity stream of cash flows that pays P1,000 at the end of year one, and the annual cash flows grow at a rate of 4% per year indefinitely, if the appropriate discount rate is 8%?This problem demonstrates the dependence of an annuity's future value on the size of the periodic payment. Suppose a fixed amount will be invested at the end of each year and that the invested funds will earn 5.3% compounded annually. What will be the future value of the investments after 15 years if the periodic investment is: (Do not round intermediate calculations and round your final answers to 2 decimal places.) Investment Future Value a. $2,300 per year $ b. S3, 300 per year $ c. S4, 300 per year $
- The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year*** This is the correct option**** An annuity that pays $500 at the beginning of every six months A. An ordinary annuity selling at $2,514.15 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 8.00% during this time, the annual annuity payment (PMT) will be . B. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight equal annual payments. The…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)(Related to Checkpoint 6.5) (Present value of a growing perpetuity) What is the present value of a perpetual stream of cash flows that pays $5,500 at the end of year one and the annual cash flows grow at a rate of 3% per year indefinitely, if the appropriate discount rate is 11%? What if the appropriate discount rate is 9%? a. If the appropriate discount rate is 11%, the present value of the growing perpetuity is $ (Round to the nearest cent.) b. If the appropriate discount rate is 9%, the present value of the growing perpetuity is $ (Round to the nearest cent.) Next abc IMG P Type here to search F6 F7 F5 Esc F3 F4 F1 F2 %23 124 % 2 3 W R Tab F G S CapsLk
- Calculate the present values at t = 0 (now) of the following cash flows: j. The first cash flow at t = 1 is $100. Every year thereafter, the payment increases by 3% over the previous year’s payment. This continues for 9 years past the first payment (for a total of 10 payments). What is the present value of this growing annuity if the effective annual discount rate is .02 (2%)? k. $50 every year and a half forever, with the first payment after 1.5 years, where the effective annual rate is .05 (i.e., 5%).What is the present value of a stream of payments where the Year 1 payment is $120,000 and the future payments grow at a rate of 5 percent per year? The interest rate used to discount the payments is 8 percent.A perpetuity will make its first payment in 20 years. The first payment will be $5,000, and future payments will increase at a 10 percent annual rate. What is the present value of this investment, assuming a 10% discount rate? Place Answer in Blank Above. What is the difference between a perpetuity and a growing perpetuity? What are real-world examples of each?
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