Consider end-of-year cash flows for $8000, $15000, $22000, $29000, and $36000 for years 1 to 5. If the series of cash flows is to be split into a uniform series and a [ Select ] uniform gradient, what is the uniform annuity amount A? If the series of cash flows is to be split into a uniform series and a [ Select ] uniform gradient, what is the uniform gradient amount G? What is the uniform annual equivalent if the interest rate is 12% [ Select ) >
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- Define effective annual rate (EAR) with examples. Differentiate between annuity cash flows and mixed stream with exampleConsider 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 fixed stream of cash flows occurring at the beginning of each period for a fixed period of time is known as: Select one: a. Ordinary annuity b. Constant annuity c. Annuity due d. Financial annuity
- 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. 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.)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.)PV = Cash Flow/Interest Rate is the present value shortcut formula for which of the following: * A perpetuity A single cash flow in the future A growing perpetuity An annuity
- Annuity Present Value Inputs Payment Discount Rate/Period Number of Periods Present Value using a Time Line Period Cash Flows Present Value of Each Cash Flow Present Value Annuity Present Value using the Formula Present Value Annuity Present Value using the PV Function Present ValueThe present value of a future cash flow is computed by multiplying the future cash flow value with the: O discounting factor. O number of periods. O compounding factor. O interest rate.20. What is X in the formula: FV = X(1+r) ? Select one: a. The future value of an annuity with X cash flows b. The present value of a single cash flow in one period's time c. The future value of a single cash flow in one period's time d. The present value of an annuity with X cash flows
- For the cash flows shown and in preparation for a PW-based rate of return analysis, determine the incremental cash flow between machines B and Afor (a) year 0, (b) year 3, and (c) year 6.To find the present value (PV) of an ordinary annuity, a. the interest is compounded and then subtracted from the FV. O b. each payment is divided by (1+1)* c. each payment is multiplied by (1+1). O d. the future value (FV) is divided by the interest rate. e. the future value is divided by (1+1)*:Consider two assets with the following cash flow streams:Asset A generates $4 at t=1, $3 at t=2, and $10at t=3. Asset B generates $2 at t=1, $X at t=2, and $10at t=3.Suppose X=6 and the interest rate r is constant. (a)For r=0.1, calculate the present value of the two assets. (b)Determine the set of all interest rates {r} such that asset A is more valuable than asset B. (c)Draw the present value of the assets as a function of the interest rate. (d)Suppose r=0.2.Find the value X such that the present value of asset B is 12. (e)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.