A finished FIN-350 Topic 2 compounding and discounting exercise example, working single sums in both directions and showing a choice between two payment dates flip with the rate. Searches like "fin 350 topic 2 assignment example", "fin350 topic 2 sample" and "fin-350 topic 2 example" land here.
What a finished FIN-350 Topic 2 compounding and discounting exercise looks like
The finished exercise carries one illustrative choice through several rates. A supplier offers a composite firm either 8,000 today or 10,000 in three years. Discounted at 8 percent, the later payment is worth about 7,938 today, so the firm takes the 8,000. At 7 percent it is worth about 8,163, and the answer reverses. The example uses that reversal to show what the rate is: the return the firm could earn elsewhere while it waits. Further problems solve for the rate that makes 8,000 grow to 10,000 in three years, about 7.7 percent, and for the years needed to double money at 8 percent, checked against the rule of 72. A final problem converts 12 percent compounded monthly into an effective 12.68 percent.
How a FIN-350 Topic 2 example is structured
The exercise runs from the simplest movement of money through to rates that need converting. It opens with a short statement of the convention used: amounts at the end of the stated year, annual compounding unless a problem says otherwise, and signs separating money in from money out. The first group of problems compounds a present amount forward. The second discounts a future amount back and attaches a decision to it, using the supplier's two offers. The third solves for the unknown rate and the unknown number of periods, with each answer checked by reversing the calculation. The fourth takes compounding frequency and converts quoted rates into effective ones. A closing paragraph states the break-even rate for the supplier choice, about 7.7 percent, and the belief the firm would need to hold before choosing to wait.
A convention declared up front
End-of-year timing, annual compounding and a sign rule are fixed before any problem appears, so each answer can be verified the same way.
Two offers, two rates, two answers
The supplier choice is priced at 8 and then at 7 percent, and the preferred payment date changes between them, which is the point of the problem.
Unknowns solved and then reversed
Each rate or period found by calculation is plugged back in to reproduce the original amount, which catches most algebra slips before anyone else sees them.
Quoted and effective rates separated
Twelve percent compounded monthly becomes 12.68 percent effective, and the example notes that comparing two offers needs the second figure, not the first.
A break-even rate stated
The exercise closes by naming the rate at which the firm would be indifferent between the two offers, which turns the arithmetic into a threshold.
Where marks go in FIN-350 Topic 2
A present value computed correctly and then left alone is the characteristic weakness in FIN-350, since the exercise asks which offer the firm should take and a number without the choice answers only half of it. Discounting at a rate chosen for convenience, rather than one reflecting what the firm could earn elsewhere, detaches the answer from the decision. Comparing a quoted rate with an effective one produces a wrong ranking between offers that compound differently. Solving for an unknown rate without checking it by reversal leaves errors that a single substitution would expose. Rounding intermediate discount factors to two places drifts the answer away from the key. Answers that never explain what the rate represents suggest the formula was selected by matching symbols to the question.
Get a FIN-350 Topic 2 example written to your instructions
Send the FIN-350 Topic 2 problems and the rubric from your classroom, with any data your section supplies. We write a custom example to those problems, with the convention declared, amounts moved in both directions, unknowns solved and checked, effective rates computed and each result attached to a decision, in 24 to 48 hours. The first one is free.
FIN-350 Topic 2 questions, answered
Why does the preferred offer change with the rate?
Because the rate is what waiting costs. If the firm could earn 8 percent elsewhere, 8,000 today grows to more than 10,000 in three years, so taking it now wins. At 7 percent it grows to less than 10,000, so waiting is better. The payments never change; only the alternative return does, and that alone decides the choice.
What does the rule of 72 do?
It approximates the years needed to double money by dividing 72 by the annual percentage rate. At 8 percent, money doubles in roughly nine years, and the exact figure is about 9.01. It is a check rather than an answer, useful for catching a calculation that has gone badly wrong, and it grows less accurate at very high or very low rates.
What is an effective annual rate for?
Because two offers quoted at the same nominal rate but compounded at different frequencies do not cost or earn the same amount. Twelve percent compounded monthly works out to about 12.68 percent a year, while twelve percent compounded annually is exactly twelve. Converting both to an effective rate puts them on one basis, which is the only fair way to compare them.