You are considering making a movie. The movie is expected to cost $10.1 million up front and take a year to produce. After that, it is expected to make $4.6 million in the year it is released and $1.9 million for the following four years. What is the payback period of this investment? If you require a payback period of two years, will you make the movie? Does the movie have positive NPV if the cost of capital is 10.4%? What is the payback period of this investment? The payback period is years. (Round to one decimal place.)
Net Present Value
Net present value is the most important concept of finance. It is used to evaluate the investment and financing decisions that involve cash flows occurring over multiple periods. The difference between the present value of cash inflow and cash outflow is termed as net present value (NPV). It is used for capital budgeting and investment planning. It is also used to compare similar investment alternatives.
Investment Decision
The term investment refers to allocating money with the intention of getting positive returns in the future period. For example, an asset would be acquired with the motive of generating income by selling the asset when there is a price increase.
Factors That Complicate Capital Investment Analysis
Capital investment analysis is a way of the budgeting process that companies and the government use to evaluate the profitability of the investment that has been done for the long term. This can include the evaluation of fixed assets such as machinery, equipment, etc.
Capital Budgeting
Capital budgeting is a decision-making process whereby long-term investments is evaluated and selected based on whether such investment is worth pursuing in future or not. It plays an important role in financial decision-making as it impacts the profitability of the business in the long term. The benefits of capital budgeting may be in the form of increased revenue or reduction in cost. The capital budgeting decisions include replacing or rebuilding of the fixed assets, addition of an asset. These long-term investment decisions involve a large number of funds and are irreversible because the market for the second-hand asset may be difficult to find and will have an effect over long-time spam. A right decision can yield favorable returns on the other hand a wrong decision may have an effect on the sustainability of the firm. Capital budgeting helps businesses to understand risks that are involved in undertaking capital investment. It also enables them to choose the option which generates the best return by applying the various capital budgeting techniques.
![**Investment Analysis: Determining Payback Period and NPV**
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**Scenario Overview:**
You are considering making a movie. The movie is expected to cost $10.1 million up front and take a year to produce. After that, it is expected to make $4.6 million in the year it is released and $1.9 million for the following four years.
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**Key Questions:**
1. **What is the payback period of this investment?**
- Calculate the number of years it will take to recover the initial investment of $10.1 million.
2. **If you require a payback period of two years, will you make the movie?**
- Compare the calculated payback period with the required period of two years.
3. **Does the movie have a positive NPV if the cost of capital is 10.4%?**
- Determine the Net Present Value (NPV) considering a discount rate of 10.4% and analyze if the project is worthwhile.
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**Detailed Calculation:**
1. **Payback Period Calculation:**
The payback period is the time needed to recoup the initial investment from the net cash inflows.
\[
\text{Initial Investment} = \$10.1 \text{ million}
\]
\[
\text{Year 1 Net Cash Inflow} = \$4.6 \text{ million}
\]
\[
\text{Year 2 to 5 Net Cash Inflows (each year)} = \$1.9 \text{ million}
\]
Cumulative cash flows per year:
- End of Year 1: \$4.6 million
- End of Year 2: \$4.6 million + \$1.9 million = \$6.5 million
- End of Year 3: \$6.5 million + \$1.9 million = \$8.4 million
- End of Year 4: \$8.4 million + \$1.9 million = \$10.3 million
Calculate the payback period:
\[
\text{Payback Period} = 3 + \frac{(10.1 - 8.4)}{1.9} = 3 + \frac{1.7}{1.9} \approx 3.9 \text{ years}
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