Chapter 2: Problem 73
A financial planner has a client with \(\$ 15,000\) to invest. If he invests \(\$ 10,000\) in a certificate of deposit paying \(11 \%\) annual simple interest, at what rate does the remainder of the money need to be invested so that the two investments together yield at least \(\$ 1600\) in yearly interest?
Short Answer
Step by step solution
Initial Investment Calculation
Determine Required Total Interest
Calculate Required Investment Rate
Conclusion
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Financial Planning
- Assessing financial goals and constraints
- Choosing investment vehicles
- Evaluating risk versus return
Investment Rate
In our problem, once the $10,000 is invested at 11%, the final deposit needed an investment rate calculation to find out how the remaining funds would yield the required total return. This investment rate not only governs how quickly the principal grows but also assists in aligning with broader financial objectives.
- Determining the annual increase in investment
- Comparing different investment options
- Aligning with financial goals
Principal Amount
The principal amount is the foundation of any investment, and its growth is governed by the interest rate. Proper allocation of the principal can influence the overall success in achieving financial objectives. The principal determines both potential returns and the risk involved, therefore needing careful consideration.
- Identifying total available funds
- Deciding on allocation strategies
- Understanding potential returns
Interest Calculation
Interest calculation provides a straightforward method to quantify financial growth from investments. Accurately calculating interest allows for sound investment decisions and offers clarity on the amount an investment needs to earn to meet objectives.
- Understanding the impact of interest on investments
- Calculating returns for different options
- Ensuring investments align with financial goals