Exam FM (Financial Mathematics) Years Practice Questions
The free Exam FM (Financial Mathematics) questions that deal with years, with answers and explanations. The full bank and the timed practice test cover every topic the exam asks about.
Question #1
A company invests $10,000 at an interest rate of 5% compounded annually. What will be the total amount after 3 years?
Correct answer: A
Explanation
The formula for compound interest is A = P(1 + r/n)^(nt). Here, P = 10000, r = 0.05, n = 1, t = 3, so A = 10000(1 + 0.05/1)^(1*3) = $11,576.25.
Question #2
If a bond pays a coupon of $50 annually and has a yield to maturity of 5%, what is its price if it matures in 5 years?
Correct answer: C
Explanation
The price of a bond can be found using the present value of future cash flows, discounted at the yield to maturity. PV = C/(1+r)^t.
Question #5
If a financial asset costs $5,000 today and is expected to generate cash flows of $2,000 per year for 3 years, what is the net present value (NPV) if the discount rate is 8%?
Correct answer: C
Explanation
NPV = _ (Cash Flow / (1 + r)^t) - Initial Investment. Calculate NPV for each cash flow and sum them.
Question #7
You purchased an asset for $8,000, and you expect to sell it for $10,000 after 5 years. If the discount rate is 5%, what is the present value of the future selling price?
Correct answer: C
Explanation
PV = Future Value / (1 + r)^t. Here, FV = 10,000, r = 0.05, and t = 5. Calculate to find PV.
Question #8
An investment of $1,200 at a rate of 4% compounded semi-annually grows to what amount in 10 years?
Correct answer: C
Explanation
Use the formula A = P(1 + r/n)^(nt). Here, P = 1200, r = 0.04, n = 2, t = 10. Calculate A.
Question #10
You invest $1,000 in an interest-bearing account with a rate of 3% compounded quarterly. What will be the amount in the account after 5 years?
Correct answer: D
Explanation
Use A = P(1 + r/n)^(nt). P = 1000, r = 0.03, n = 4, t = 5. Calculate A.
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