4 (a) Evaluate the cash flow diagram given by the figure below. Determine a Net Present Value and a Net Equivalent Annual Payment. Use an interest rate of i = 1%. (Hints: Arrows are end-of-the-year cash flows. These arrows pointing down represent costs and upward arrows are revenues. b) Repeat (a) with an interest rate of i = 10%.

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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

What is the yield on the following set of cashflows? Time Cashflow (£) t = 0 t=1 H 400 t=2 t = 3 -100 -120 t = 4 -140 t = 5 -160

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

Find 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 75

Calculate the NPV of the following cash flows using a 10% discount rate? The first cashflow is negative, Year 0= -900, all others are positive Year 1= +100, Year 2= +100, Year 3= +400, Year 4= +500, Year 5= +500   a. $36 b. $ 520 c. $ 996 d. $ 326 e. $ 226

USING EXCEL SHOW HOW TO SOLVE THE FOLLOWING:

Consider 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.)

Consider the following cash flows: Year Cash Flow 0 −$ 29,000 1 14,700 2 14,200 3 10,600 What is the profitability index for the cash flows if the relevant discount rate is 10 percent? Note: Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161. What is the profitability index if the discount rate is 15 percent? Note: Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161. What is the profitability index if the discount rate is 22 percent? Note: Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.