Question 1

The opportunity cost rate is only applicable if you as an investor actually have an alternative investment to compare.If you are making a decision about a single investment,the opportunity rate concept does not apply.

Accepted Answer

The opportunity cost rate applies even when considering a single investment, as it represents the return foregone by not investing in the best alternative. It's a fundamental concept in economics and finance used to evaluate the cost of any decision, including investments, by comparing it to the next best alternative, even if that alternative is not immediately apparent.

Question 2

Using the discounted payback method,a project should be accepted when the discounted payback is greater than the project's expected life.

Accepted Answer

The correct statement is that a project should be accepted when the discounted payback is less than or equal to the project's expected life. This is because the discounted payback method calculates the time it takes for the discounted cash inflows to equal the initial investment, and the project should be accepted if this period is shorter than the project's expected life.

Question 3

Solving for the interest rate associated with a stream of uneven cash flows,without the use of a calculator,usually involves a trial and error process.

Accepted Answer

Solving for the interest rate associated with a stream of uneven cash flows requires the use of an iterative method to find the discount rate that equates the present value of the cash inflows with the initial investment. This process usually involves a trial and error method using different interest rate assumptions until the net present value of the cash flows is zero. Therefore, the statement is true.

Question 4

The greater the number of compounding periods within a year,the greater the future value of a lump sum invested initially,and the greater the present value of a given lump sum to be received at maturity.

Accepted Answer

The greater number of compounding periods within a year increases the future value of a lump sum invested initially due to more frequent application of interest, but it decreases the present value of a given lump sum to be received at maturity because more compounding periods mean a higher effective discount rate is applied to the future value.

Question 5

The process of discounting or finding the present value of a cash flow to be received in the future is really the reverse of compounding.

Accepted Answer

Discounting involves finding the present value of a future cash flow by calculating the amount of money that needs to be invested today in order to yield that future cash flow. This is essentially the reverse of compounding, which involves calculating the future value of an investment based on the present value and the interest rate.

Question 6

Financial calculator and tabular methods use different mathematical formulas to solve time value of money problems,and that is why they always lead to different results.

Accepted Answer

Financial calculator and tabular methods use the same mathematical formulas to solve time value of money problems and should give the same results. However, differences in rounding or input errors can sometimes lead to slightly different results.

Question 7

The effective annual rate is always greater than the simple rate as a result of compounding effects.

Accepted Answer

The answer of The effective annual rate is always greater...

Question 8

One of the potential benefits of investing early for retirement is that an investor can receive greater benefits from the compounding of interest.

Accepted Answer

Compounding interest means that the gains made from investing are reinvested, which can lead to exponential growth over time. The earlier an investor starts investing, the more time their investments have to compound, potentially resulting in greater long-term returns.

Question 9

Suppose an investor can earn a steady 5% annually with investment A,while investment B will yield a constant 12% annually.Within 11 years' time,the compounded value of investment B will be more than twice the compounded value of investment A (ignore risk).

Accepted Answer

Investment B will have a higher compounded value than investment A within 11 years because of its higher annual yield. This means that investment B will grow faster and reach the desired value more quickly than investment A. Since investment B will be more than twice the compounded value of investment A within 11 years, this statement is true.

Question 10

All other factors held constant,the present value of a given annual annuity decreases as the number of discounting periods per year increases.

Accepted Answer

This is because increasing the number of discounting periods per year increases the effective interest rate used to calculate the present value, leading to a lower present value for the same annual annuity payment.

Question 11

We can think of inflation occurring over time as a type of discounting process where the present value of a sum today is diminished by reverse compounding over time.

Accepted Answer

Inflation reduces the buying power of money over time, so the amount of money required to buy the same goods and services increases. This can be thought of as a discounting process where the present value of a sum today is diminished by the effects of inflation over time. Reverse compounding refers to the fact that the present value of a sum decreases over time due to inflation, whereas compounding refers to the fact that the future value of a sum increases over time when it earns interest or other investment returns.

Question 12

When a loan is amortized,the largest portion of the periodic payment goes to reduce principal in the early years of the loan such that the accumulated interest can be spread out over the life of the loan.

Accepted Answer

In the early years of an amortized loan, the largest portion of the periodic payment is typically allocated towards interest, not principal. As time progresses, the portion of the payment going towards the principal increases.

Question 13

In an amortization problem where a debt is completely amortized,if we are given the values for PV,I,and N,then we can solve the problem despite having been given only three of the five time value variables involved.

Accepted Answer

This is true because if we are given the present value (PV), the interest rate (I), and the number of periods (N), we can use the amortization formula to calculate the regular payment (PMT) and the total amount paid over the life of the debt. Therefore, we can solve the problem with only three of the five time value variables involved.

Question 14

Effective capital budgeting can improve the timing of asset acquisition and the quality of assets purchased,thereby providing an opportunity to purchase and install assets before they are needed.

Accepted Answer

Effective capital budgeting helps in assessing the profitability and feasibility of investment projects, which can lead to decisions for timely acquisition of assets and ensuring the quality of assets purchased. As a result, businesses can take advantage of the opportunities to purchase and install assets before they are needed.

Question 15

If we calculate a periodic interest rate,say a monthly rate,in order to get the simple annual rate,we can multiply the periodic rate by the number of periods within a year.

Accepted Answer

This is the correct formula for converting a periodic interest rate to a simple annual rate. For example, if the monthly interest rate is 1%, then the simple annual rate would be 12% (1% x 12 months in a year).

Question 16

Disregarding risk,if money has time value,the future value of some amount of money always will be more than the amount originally invested,and the present value of some amount to be received in the future is always less than that future amount to be received.

Accepted Answer

This is because of the concept of compound interest. Money invested today will earn interest over time, resulting in a larger future value. On the other hand, receiving an amount in the future means that the investor has to wait for that time to pass, and the present value of that future amount must be discounted to reflect the time value of money.

Question 17

Because we usually assume positive interest rates in time value analyses,the present value of a three year annuity will always be less than the future value of a single lump sum,if the annuity payment equals the original lump sum investment.

Accepted Answer

The statement is incorrect. The present value of a three-year annuity may be greater than the future value of a single lump sum investment, depending on the interest rate and the size of the payments. This is known as an annuity due to its timing of payments. It is essential to consider the interest rate, the number of payments, and the payment size while computing the present value of an annuity.

Question 18

Cash flow time lines are used primarily for decisions involving paying off debt or investing in financial securities.They cannot be used when making decisions about investments in physical assets.

Accepted Answer

Cash flow time lines can be used for decisions involving investments in physical assets, such as determining the best time to purchase or sell a property, equipment, or other tangible assets.

Question 19

Although the payback method ignores the time value of money,relying solely on this capital budgeting method will always lead to value maximizing decision.

Accepted Answer

Ignoring the time value of money may lead to inaccurate decision making in capital budgeting, as it fails to account for the present value of future cash flows. This can result in selecting a project that appears to have a shorter payback period, but may actually have lower net present value when compared to other alternatives. Therefore, relying solely on the payback method may not always lead to value-maximizing decisions.

Question 20

An increase in the discount rate used in computing the NPV of a project will lower the value of the NPV for that project.

Accepted Answer

The NPV calculation involves discounting future cash flows at a specified rate (the discount rate), so if the discount rate increases, the present value of those cash flows decreases, leading to a lower NPV.

Quiz 9: Time Value of Money