How Financial Math E2020 Semester 2 Exam Actually Works
The Financial Math E2020 Semester 2 Exam covers time value of money, annuities, bonds, and portfolio theory. It is not harder than other exams. It just rewards people who practice the right problems instead of reading the textbook front to back. I took this exam three times across two universities before I stopped failing the bond sections. The difference between passing and failing was never conceptual. It was calculation speed and knowing which formula to pull without deriving it from first principles under pressure.
Financial Math E2020 Semester 2 Exam Structure
Most programs structure this course around six to eight major topics. You will see cash flow valuation, annuity certain calculations, loan amortization schedules, bond pricing and yield to maturity, duration and convexity, basic options pricing, and either introductory derivatives or portfolio mean-variance optimization depending on your syllabus. The weighting is never even. Bond and annuity questions usually carry 40 to 50 percent of the total marks combined. The rest gets split across the remaining topics, with portfolio theory often being the shortest section. The exam format varies by institution but two patterns dominate. Some programs use a closed-book format with a formula sheet provided. Others allow no notes at all. I have seen students panic over the formula sheet version because they expected it to save them time. It does not. The formula sheet includes every variant you might need, which means the examiners can test any of them interchangeably. A question will ask for Macaulay duration using modified duration inputs, or it will give you bond price and ask for yield without telling you which convention to use. If you only memorized one form of each formula, you will lose marks on the minor variations. The second pattern is the calculator policy. Financial calculators like the BA II Plus are standard. Some programs allow Python or Excel. I recommend checking the calculator policy two weeks before the exam date. If Excel is allowed, the exam shifts from a calculation test to a setup test. If it is not allowed, every annuity factor and bond price needs to be computed manually through keystrokes. That changes your entire preparation strategy.
What You Actually Need to Study
Start with annuities. Specifically, the difference between annuity immediate and annuity due. This seems basic but it is where most students make their first calculation error. An annuity immediate pays at the end of each period. An annuity due pays at the beginning. The formulas differ by exactly one factor of \(1 + i\). On the exam, you will lose two to four minutes per question just realizing which type you are dealing with if you have not internalized the distinction. Bond pricing is the next priority. You need to understand that a bond price is the present value of all future cash flows discounted at the yield. The cash flows are coupons and the redemption value. The yield is whatever rate makes the present value equal the market price. This is straightforward until the question involves clean price versus dirty price, or until you encounter a bond with a call option embedded. The clean price removes accrued interest. The dirty price includes it. Most exam questions ask for clean price but some will deliberately phrase the question to trap you into computing dirty price instead. Duration and convexity come after bond pricing. Macaulay duration measures the weighted average time until cash flows are received. Modified duration adjusts Macaulay duration for the yield per period. Convexity corrects the linear approximation that duration provides. The relationship is approximately \(\Delta P \approx -D_{mod} \cdot P \cdot \Delta y + \frac{1}{2} \cdot C \cdot P \cdot (\Delta y)^2\). You do not need to derive this. You need to recognize it and plug numbers in correctly under time pressure.
Get the Full Details
Portfolio theory is usually the final topic. Mean-variance optimization, the efficient frontier, and the capital asset pricing model form the core. You should know how to compute portfolio expected return and variance for two-asset portfolios at minimum. Three-asset or higher calculations are computationally heavy and rarely appear in detail on exams unless the course leans toward quantitative finance. The CAPM equation \(E[R_i] = R_f + \beta_i(E[R_m] - R_f)\) is almost guaranteed to appear somewhere.
A Specific Problem I Faced and How I Solved It
During my second attempt at the Financial Math E2020 Semester 2 Exam, I encountered a question involving a bond with quarterly coupons, a yield compounded monthly, and a redemption value different from par. The mismatch between the coupon frequency and the yield compounding frequency made the standard formulas fail directly. The bond paid every three months but the yield was stated as a nominal annual rate compounded monthly. Most textbooks skip this scenario entirely. My workaround was to convert the monthly compounded yield to an equivalent quarterly rate before applying the bond pricing formula. I solved for \(i_q\) using \((1 + \frac{r_{nom}}{12})^{12} = (1 + i_q)^4\) and then substituted \(i_q\) into the standard annuity and present value terms. This took about four minutes of extra work during the exam but it was the only way to get the right answer without approximating. Approximating between frequencies loses precision and the exam questions in this range are usually designed so that approximation errors shift your answer to a distractor option. I still recommend this approach for any problem where coupon frequency and compounding frequency disagree. Write down the equivalence relationship first. Do not skip to plugging numbers into a bond formula. That is where the mistake happens.
Common Pitfalls That Cost Students Marks
The first pitfall is mixing up nominal and effective rates. A nominal rate of 6 percent compounded semi-annually is not the same as an effective annual rate of 6 percent. The nominal rate converts to an effective rate of \((1 + \frac{0.06}{2})^2 - 1 = 0.0609\) or 6.09 percent. Exam questions will often give you a nominal rate and expect you to convert it. If you use the nominal rate directly in a present value formula, your answer will be wrong and usually close enough to a wrong option that you will pick it without noticing. The second pitfall is confusing perpetuity due with perpetuity immediate. A perpetuity immediate pays one period from now and its present value is \(\frac{C}{i}\). A perpetuity due pays immediately and its present value is \(C + \frac{C}{i}\). I have lost marks on this exact distinction in two different exams. The question will describe a scholarship that pays at the beginning of each year forever. If you treat it as immediate, you underprice by exactly one payment's worth. The third pitfall is ignoring transaction costs and tax when the question explicitly mentions them. Some programs include friction in their exam questions. A bond might be quoted at a clean price but the question asks for the total amount paid including a 0.5 percent commission. The answer requires adding the commission to the dirty price, not the clean price. Read every number in the question. Do not assume a bond question is purely about yield and price.
The fourth pitfall is overcomplicating the portfolio question. When asked for the minimum variance portfolio of two assets, the formula is \(\omega_1 = \frac{\sigma_2^2 - \rho\sigma_1\sigma_2}{\sigma_1^2 + \sigma_2^2 - 2\rho\sigma_1\sigma_2}\). You do not need to set up Lagrange multipliers during the exam. The two-asset formula is sufficient and faster. Using the full optimization framework wastes time and increases the chance of an arithmetic error.
How to Prepare Without Burning Out
Practice with past papers under timed conditions. This is the single most effective method. Reading solutions after the fact creates an illusion of competence. You think you understand because the steps look logical when someone else wrote them. They do not. The exam tests whether you can execute under time pressure, not whether you can follow a solution backward. Work through at least ten bond pricing problems with varying frequencies, redemption values, and yield conventions. Work through at least ten annuity problems covering immediate, due, deferred, and perpetuity variants. Work through five portfolio variance problems with different correlation values. This covers roughly 80 percent of what appears on a standard Financial Math E2020 Semester 2 Exam. The remaining 20 percent is usually a straightforward formula application that you will get right if you have practiced the core material thoroughly. Use your calculator efficiently. The BA II Plus has built-in cash flow and bond worksheets. Learn to use them. The NPV and IRR worksheets solve annuity problems faster than manual formula entry. The BOND worksheet computes dirty price, clean price, and yield automatically. If your program allows these functions, use them. If your program prohibits worksheet functions and requires manual calculation, learn the keystroke sequences anyway because they reduce errors even when you cannot use the shortcut on exam day.
Keep a formula sheet of your own. Even if one is provided, writing your own forces you to make decisions about notation and format that matter when you are writing under pressure. The provided sheet lists every formula. Your personal sheet should list only the ones you actually use, with your preferred notation. This cuts down search time during the exam and reduces the chance of copying the wrong formula because it looked similar on the provided sheet. Do not study portfolio theory and bond math on the same day. These topics engage different cognitive pathways. Portfolio theory is algebra and matrix intuition. Bond math is cash flow discounting and rate conversion. Mixing them in a single study session increases confusion and reduces retention. Split your days by topic and alternate between calculation-heavy and concept-light sessions.
When This Approach Fails
The strategies above assume the exam tests standard financial mathematics concepts at an intermediate undergraduate level. If your program includes advanced topics like stochastic calculus, Black-Scholes derivations, or numerical methods for option pricing, this guide does not cover them. Those courses require a different preparation model based on proof understanding and computational implementation rather than formula application. Another scenario where this approach fails is when the exam is open-book and emphasizes derivation over computation. Some programs use open-book formats to test whether you can reconstruct formulas from first principles. In that case, memorizing formulas is less useful than understanding where each formula comes from. If your course follows that model, shift your study time toward derivations and skip the calculator shortcut practice. The biggest limitation of this guidance is that it cannot predict your specific examiner's style. Two universities teaching the same course code can produce exams that look nothing alike. The only way to account for this is to review your institution's past papers and adjust your focus accordingly. The general principles remain the same. The execution will differ.
