FIN401-Quantitative review

FIN401-Quantitative review - QUANTITATIVE REVIEW Time Value...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
QUANTITATIVE REVIEW Time Value of Money: Evaluating financial transactions requires valuing uncertain future cash flows. Determinants of future value: Present value Compounding periods Interest rate COMPOUND (FUTURE) VALUE: FV = Pv(1+i)^n Frequency of compounding: When interest is compounded more frequently than on an annual basis, adjust the interest rate and the compounding periods , accordingly. Continuous compounding : One can compound multiple periods per year (semiannually, quarterly, monthly, daily, hourly, etc.). The limiting case would be to compound every infinitesimal instant, which is commonly called continuous compounding. The compound factor uses the exponential function, e, the inverse of the natural logarithm. Continuous compounding = PV[e^(i)(n)] Example : Suppose you invest $5,000 in an account that earns 10% interest. How much more would you have after 20 years if interest is compounded continuously instead of compounded semi-annually? Semiannually: $35199.94 Continuously: $36945.28 Difference: $1745.34 PRESENT VALUE : Translating a value back in time (discounting) to determine what a future amount or cash flow is worth today. FV FV[ 1/(1+i)^n] PV = (1+i)^n or From the formula for the present value we know that: o as the number of discount periods, n, becomes smaller, the discount factor becomes smaller and the present value becomes larger, and o as the interest rate per period, i, becomes smaller, the discount factor becomes smaller and the present value becomes larger.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/10/2011 for the course FIN 401 taught by Professor Staff during the Spring '08 term at Miami University.

Page1 / 5

FIN401-Quantitative review - QUANTITATIVE REVIEW Time Value...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online