Calculate the value of a stock with the following expectations for dividend payments: $1.75 in Year 1, $2.00 in Year 2, and then annual dividend growth of 1.5% per year indefinitely. Assume a discount rate of 9%. Solve the problem two different ways: first by using the algebraic formula for the Gordon Growth Model combined with PV of uneven dividend payments, then by using Excel to calculate and sum the dividends and their respective present values for the next 150 years. hint: Use the Uneven, then Const. Growth Dividend
In: Finance
In: Finance
Net Present Value MethodA series of equal net cash flows at fixed time intervals.—Annuity
Briggs Excavation Company is planning an investment of $611,700 for a bulldozer. The bulldozer is expected to operate for 2,000 hours per year for eight years. Customers will be charged $150 per hour for bulldozer work. The bulldozer operator costs $30 per hour in wages and benefits. The bulldozer is expected to require annual maintenance costing $20,000. The bulldozer uses fuel that is expected to cost $39 per hour of bulldozer operation.
Present Value of an Annuity of $1 at Compound Interest | |||||
Year | 6% | 10% | 12% | 15% | 20% |
1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |
2 | 1.833 | 1.736 | 1.690 | 1.626 | 1.528 |
3 | 2.673 | 2.487 | 2.402 | 2.283 | 2.106 |
4 | 3.465 | 3.170 | 3.037 | 2.855 | 2.589 |
5 | 4.212 | 3.791 | 3.605 | 3.353 | 2.991 |
6 | 4.917 | 4.355 | 4.111 | 3.785 | 3.326 |
7 | 5.582 | 4.868 | 4.564 | 4.160 | 3.605 |
8 | 6.210 | 5.335 | 4.968 | 4.487 | 3.837 |
9 | 6.802 | 5.759 | 5.328 | 4.772 | 4.031 |
10 | 7.360 | 6.145 | 5.650 | 5.019 | 4.192 |
a. Determine the equal annual net cash flows from operating the bulldozer. Use a minus sign to indicate cash outflows.
Briggs Excavation Company | |||
Equal Annual Net Cash Flows | |||
Cash inflows: | |||
Hours of operation
|
|||
Revenue per hour
|
X $ | ||
Revenue per year
|
$ | ||
Cash outflows: | |||
Hours of operation
|
|||
Fuel cost per hour
|
$ | ||
Labor cost per hour
|
|||
Total fuel and labor costs per hour
|
X $ | ||
Fuel and labor costs per year
|
|||
Maintenance costs per year
|
|||
Annual net cash flows
|
$ |
Feedback
b. Determine the net present value of the investment, assuming that the desired rate of return is 15%. Use the The sum of the present values of a series of equal “Net cash flows” to be received at fixed time intervals.present value of an annuity of $1 table above. Round to the nearest dollar. If required, use the minus sign to indicate a negative net present value.
Present value of annual net cash flows | $ |
Amount to be invested | $ |
Net present value | $ |
c. Should Briggs Excavation invest in the
bulldozer, based on this analysis?
d. Determine the number of operating hours such
that the present value of cash flows equals the amount to be
invested. Round interim calculations and final answer to the
nearest whole number.
hours
Feedback
b. Multiply the annual net cash flow by the present value of an annuity factor and subtract the amount to be invested.
c. Which is more favorable?
d. Set up an equation to solve for hours.
Learning Objective 3.
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