Present Value Tables
Present Value of $1 Present Value of an Annuity of $1

question 93

Multiple Choice

Present Value Tables
Present value of $1 $$\begin{array} { l l l l l l l } \text { Periads } & 4 \% & 6 \% & 8 \% & 10 \% & 12 \% & 14 \% \\1 & 0.962 & 0.943 & 0.926 & 0.909 & 0.893 & 0.877 \\2 & 0.925 & 0.890 & 0.857 & 0.826 & 0.797 & 0.769 \\3 & 0.889 & 0.840 & 0.794 & 0.751 & 0.712 & 0.675 \\4 & 0.855 & 0.792 & 0.735 & 0.683 & 0.636 & 0.592 \\5 & 0.822 & 0.747 & 0.681 & 0.621 & 0.567 & 0.519 \\6 & 0.790 & 0.705 & 0.630 & 0.564 & 0.507 & 0.456 \\7 & 0.760 & 0.665 & 0.583 & 0.513 & 0.452 & 0.400 \\8 & 0.731 & 0.627 & 0.540 & 0.467 & 0.404 & 0.351 \\9 & 0.703 & 0.592 & 0.500 & 0.424 & 0.361 & 0.308 \\10 & 0.676 & 0.558 & 0.463 & 0.386 & 0.322 & 0.270\end{array}$$ Present value of an annuity of $1 $$\begin{array} { l l l l l l l } \text { Periads } & 4 \% & 6 \% & 8 \% & 10 \% & 12 \% & 14 \% \\1 & 0.962 & 0.943 & 0.926 & 0.909 & 0.893 & 0.877 \\2 & 1.886 & 1.833 & 1.783 & 1.736 & 1.690 & 1.647 \\3 & 2.775 & 2.673 & 2.577 & 2.487 & 2.402 & 2.322 \\4 & 3.630 & 3.465 & 3.312 & 3.170 & 3.037 & 2.914 \\5 & 4.452 & 4.212 & 3.993 & 3.791 & 3.605 & 3.433 \\6 & 5.242 & 4.917 & 4.623 & 4.355 & 4.111 & 3.889 \\7 & 6.002 & 5.582 & 5.206 & 4.868 & 4.564 & 4.288 \\8 & 6.733 & 6.210 & 5.747 & 5.335 & 4.968 & 4.639 \\9 & 7.435 & 6.802 & 6.247 & 5.759 & 5.328 & 4.946 \\10 & 8.111 & 7.360 & 6.710 & 6.145 & 5.650 & 5.216\end{array}$$
-Refer to Present Value Tables. Basil Company is considering two investments. Each will cost $20,000 initially. Project 1 will return annual cash flows of $10,000 in each of three years. Project 2 will return $5,000 in year 1, $10,000 in year 2, and $15,000 in year 3. The company requires a minimum rate of return of 10%. What is the net present value of Project 1?

• A) $2,530
• B) $4,860
• C) $20,000
• D) $22,530

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Definitions:

Exponentially Distributed

A statistical distribution used to model the time between events in a Poisson process, describing the time until some specific event occurs.

Probability

The assessment of the probability of an event happening.

Poisson Model

A statistical model used to predict the count of events that happen independently and with a known constant mean rate.

Exponential Distribution

A probability distribution used to model time until an event occurs, assuming events happen independently at a constant average rate.