Compounding, annuities and amortization

Compute the accumulated value of a principal $C=2400$ euros invested for $10$ months at the annual rate of $2.5\%$ under simple interest.

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Compute the accumulated value and the interest of a principal $C=3000$ euros invested for $6$ years at the annual rate of $4.5\%$ under compound interest.

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Compute the present value of $10000$ euros available in $7$ years, at the annual rate of $3\%$ under compound interest.

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A bill of exchange of $2000$ euros matures in $4$ months. Compute the present value and the discount with commercial discount at the annual rate $d=4.5\%$.

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Compute the monthly rate equivalent to the annual rate of $7\%$ under compound interest, and compare it with the proportional monthly rate $\frac{7\%}{12}$.

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A deposit account offers the nominal annual rate of $6\%$ convertible quarterly. Compute the effective annual rate.

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Compute the force of interest equivalent to the annual rate of $3\%$, and the accumulated value of $1000$ euros after $4$ years under continuous compounding with this force of interest.

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Determine after how long a principal of $4000$ euros, invested at $2\%$ per year under compound interest, reaches the accumulated value of $5000$ euros.

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Three debts of $1000$, $3000$ and $2000$ euros are due in $3$, $7$ and $12$ months. With commercial discount, determine the due date at which the sum of the three debts can be paid in a single amount.

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Compute the present value of an annuity immediate of $15$ annual payments of $1200$ euros at the rate of $3.5\%$.

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A mortgage of $60000$ euros is repaid by French amortization in $15$ annual installments in arrears at the rate of $4\%$. Compute the installment and the interest portion of the first installment.

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A loan of $24000$ euros is repaid by Italian amortization in $6$ annual installments at the rate of $5\%$. Compute the principal portion, the interest portion and the installment of the fourth year, and the outstanding balance after the payment of the fourth installment.

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Compute the present value of a perpetuity of $1800$ euros per year, paid at the beginning of each year, at the rate of $3\%$.

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An investment requires $1000$ euros today and returns $600$ euros in one year and $720$ euros in two years. Compute the NPV at the rate of $10\%$ and the IRR.

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