1. Find the present value of the following cash flow streams under the following conditions: Year Cash Flow X Cash Flow Y 1 $650 $250 2 530 330 3 450 450 4 330 530 5 250 650 a. The appropriate discount rate is 5%. b. What is the present value of each cash flow stream at a zero percent discount rate?
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- Single Cash Flow Present Value Inputs Single Cash Flow $1,000 Discount Rate/Period 6% Number of Periods 5 Present Value using a Time Line Period 1 2 3 4 Cash Flows Present Value of Each Cash Flow Present Value Present Value using the Formula Present Value Present Value using the PV Function Present ValueWhat is the present value of the following stream of cash flows if the discount rate is 9%? Year 1-5: $14,000 inflow Years 6-20: $23,000 inflow (Use the present value tables in your course packet for any present value calculations. Round your final answer to the nearest dollar.)1. Discounted Payback (DCPB) and IRR analysis. Use the cash flow situation (table below) to answer. a. Determine the DCPB based on a MARR rate of 8.0% b. Determine the IRR Year Cash Flow (in $1000's) 0 1 -5500 +1500 2 +1800 3 +1500 4 +1800 5 6 +1500 +1800 7 +1500
- Compute the payback period for this investment. (Cumulative net cash outflows must be entered with a minus sign. Round your Payback Period answer to 2 decimal place.)Solve the following problems. You must show all your solutions -Draw the cash flow diagram for each problem -use interest rate with five decimal places. -Box your final answer and upload the picture of your complete solution.Determine the rate of return for the cash flows shown in the diagram. Use trial and error (start with two trials with 5% and 10% interest rates) and then use interpolation (or more trials) to approximate the result. Roh?? S7000 1- ? Year 590 s90 s90 sz00 sz00 sz00 $3000
- 2. Discounted Payback (DCPB) and IRR evaluations. Use the cash flow situation (table below) to answer. a. Determine the DCPB based on a MARR rate of 4.0% b. Determine the IRR Year Cash Flow (in $1000's) 0 -1250 1 +350 2 3 +300 +250 4 +200 5 +150 6 +100 7 +50Find the internal rate of return (IRR) for the following cash flows. Enter your answer as a percent and include at least two decimal points, e.g., 8.35 for 8.35 %, not 0.08. Year Cash Flow 0 750 1 200 2 375 3 250 4 100 5 75Time value of money calculations can be solved using a mathematical equation, a financial calculator, or a spreadsheet. Which of the following equations can be used to solve for the future value of an annuity due? PMT x {[(1 + r)ª − 1]/r} x (1 + r) O FV/(1 + r)¹ PMT x {[(1 + r)" - 1]/r} O PMT x ({1 - [1/(1 + r)"]}/r) x (1 + r)
- The present value represents the amount of money you would have to deposit today in order to match what you would get from the income stream at the future date. The formula is Time = M = i Future value represents the total amount of money you would have if you deposit the income stream until a future date. The formula is To start our problem we need to identify the variables. Rate =r= i Income Stream S(t) = i Present Value = years % M 1. 0 S (t) et dt. Future Value = Present Value* erM dollars/yearConsider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)a. Find the present values of the following cash flow streams at an 11% discount rate. Do not round intermediate calculations. Round your answers to the nearest cent. 0 1 2 3 4 5 Stream A Stream B Stream A: $ $0 $0 Stream B: $ $100 $400 $400 $250 $400 $400 $400 $250 $400 $100 Stream B: $ b. What are the PVs of the streams at a 0% discount rate? Round your answers to the nearest dollar. Stream A: $