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- What is the aggregate present value of $500 received at the end of each of the next three years, assuming a discount rate of (i) 4 percent? (ii) 25 percent?2. The following are exercises in present values: a. $100 at the end of three years is worth how much today, assuming a discount rate of (i) 100 percent? (ii) 10 percent? (iii) 0 percent? b. What is the aggregate present value of $500 received at the end of each of the next three years, assuming a discount rate of (i) 4 percent? (ii) 25 percent? C. $100 is received at the end of one year, $500 at the end of two years, and $1,000 at the end of three years. What is the aggregate present value of these receipts, assuming a discount rate of (i) 4 percent? (ii) 25 percent? d. $1,000 is to be received at the end of one year, $500 at the end of two years, and $100 at the end of three years. What is the aggregate present value of these receipts assum- ing a discount rate of (i) 4 percent? (ii) 25 percent? e. Compare your solutions in Part (c) with those in Part (d) and explain the reason for the differences.$100 at the end of three years is worth how much today, assuming a discount rate of (i) 100 percent? (ii) 10 percent? (iii) 0 percent?
- What is the present value of $2,000 received today, $2,500 received at the end of each of the next ten years and $1,000 received at the end of the 11th year , assuming a required rate of return of 6%?You are calculating the present value of $1,000 that you will receive five years from now.Which table will you use to obtain the present value factor to multiply to calculate thepresent value of that $1,000?a. Present Value of $1 tableb. Future Value of $1 tablec. Present Value of Ordinary Annuity of $1d. Future Value of Ordinary Annuity of $1a. What is the present value of 15 annual payments of $100, with the first payment one year from now, if the discount rate is 0.05? b. What is the present value of 15 annual payments of $100, with the first payment right now, if the discount rate is 0.05? c. What is the present value of 15 annual payments of $100, with the first payment five years from now, if the discount rate is 0.05? d. At what discount rate would the present value of 15 annual payments of $100, with the first payment right now, be 0? e. How many annual payments of $100, with the first payment right now, would it take to be worth more than $1,000, if the discount rate is 0.05? f. What is the value of 15 annual payments which begin at $100 one year from now and increase at 2% per year thereafter, if the discount rate is 0.05?
- If the present value of $500 expected to be received three years from today is $200, what is the discount rate?Consider two streams of cash flows, A and B. Stream A’s first cash flow is $9,800 and is received three years from today. Future cash flows in Stream A grow by 3 percent in perpetuity. Stream B’s first cash flow is −$9,100, is received two years from today, and will continue in perpetuity. Assume that the appropriate discount rate is 11 percent. a. What is the present value of each stream? b. Suppose that the two streams are combined into one project, called C. What is the IRR of Project C?3. To find the present value of a sum of sh. 10,000 to be received at the end of each year for the next 5 years at 10% rate, we use: A. Present value of a single cash flow table B. Present value of annuity table. C. Future value of a single cash flow table D. Future value of annuity table
- Consider two streams of cash flows, A and B. Stream A's first cash flow is $10,000 and is received three years from today. Future cash flows in Stream A grow by 3 percent in perpetulty. Stream B's first cash flow is -$8,900, is received two years from today, and will continue in perpetuity. Assume that the appropriate discount rate is 11 percent. a. What is the present value of each stream? (A negative amount should be indicated by a minus sign. Do not round Intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stream A Stream B b. Suppose that the two streams are combined into one project, called C. What is the IRR of Project C? (Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) IRR % c. What is the correct IRR rule for Project C? Accept the project if the discount rate is equal the IRR. O Accept the project if the discount rate is above the IRR. Accept the project if the discount rate is…Suppose that a stream of equal payments of amount $25000 per year is to continue in perpetuity.At the interest rate of 10% compute:a. the present value of this entire stream of benefits.b. the present value of the benefits beginning at the end of 100th year.c. the present value of the first 100 years of benefits.Find the present value of the following future amount. $500,000 at 9% compounded annually for 25 years What is the present value? $ (Round to the appropriate cent.)