Financial Math | Learn Fundamentals of Financial Mathematics

Explore compound interest as interest on interest and learn the formulae for amount and compound interest under annual, half yearly, and quarterly compounding, including scenarios with varying yearly rates.

Calculate the compound interest on rupees 10,000 at 4% per annum over two years with half-yearly compounding using the formula P(1 + r/2/100)^4 - P, yielding 824.32 rupees.

Calculate the compound interest on rupees 16,000 at 20% per annum for nine months, compounded quarterly, using the formula CI = P(1 + r/4/100)^{4n} − P, yielding rupees 2522.

Compute the principal from a 1200 rupee simple interest at 5% for three years, then find compound interest on 8000 rupees for the same period at 5% per annum, ₹12,161.

Apply the compound interest formula to calculate the maturity amount on a fixed deposit of rupees 8000 at 5% per annum for two years, compounded annually, yielding 8820 rupees.

Compute the simple interest (400) and compound interest (464.10) on a sum of rupees 1000 at 10% per annum for four years, and find the difference (64.10).

Find the principal from a two-year, 510-rupee compound interest at 12.5%, then compute the simple interest for double the time at half the rate, giving 480 rupees.

Use the compound interest formula for a 12,000 principal that doubles in five years; hence the 20-year amount equals 192,000 rupees.

This lecture shows how a sum that triples in four years at a given rate becomes twenty-seven times in twelve years, using compound interest and exponent comparison.

Understand nominal vs effective interest rates through compound interest with semiannual compounding, and apply the formula Re = (1 + r/m)^m - 1 to compute the true yearly rate.

Compute the nominal rate for quarterly compounding from a 5% effective rate using Re = (1 + r/m)^m − 1. Set m = 4 to obtain r ≈ 4.908%.

Compute the future value of 6000 rupees over eight years at an 8% effective annual rate using the formula amount equals p(1+i)^n, yielding about 11105.58 rupees.

Explore the present value concept and its formula pv = a(1+i)^(-n), using the discount factor to determine the deposit today needed to reach a future amount.

Define annuity as equal payments at regular intervals, with future and present values. Explore types such as ordinary, annuity due, certain, contingent, and perpetual, and apply core formulas.

Compute the future value of an ordinary annuity of rupees 500 per quarter for ten years at 8% with quarterly compounding, using S = R[(1+i)^n-1]/i. It equals rupees 30,200.

Compute the annual deposit required to reach ₹20,000 with 10% annual interest, compounded yearly, using the standard annuity formula in financial math.

Compute the annual investment required to reach rupees three lakhs after ten years with ten percent annual compounding, using the formula s = r[(1+i)^n - 1]/i.