Asume that the present value of capital is $800$ and the future value at an interest rate of $5\%$ p$.$a$.$ corre potids to $996\mathrm{.}58.$ How long must the capital be deposited? For the calculation, consider compound interest.

a$.5$ yurs, $7$ months, $13$ days.

b$.4$ gars, $3$ muiths, $17$ davx.

c$.\mathrm{.}5$ years.

d$.8$ your, $4$ months

e$.5$ yours, $5$ months, $10$ days.

Thin fice balue of the bill due in $11$ months is $100,000.$ How long must the owner of the bill wait before he can sell it in the money market so that at a discount rate of $10\%$ p$.$a$.$ received $96,666\mathrm{.}67?$

a$.6$ months, $14$ dayx.

b$.3$ months, $25$ days.

c$.7$ montis

d$.4$ months. $8$ days.

c$.4$ months.

How much will be created on saving by a client who regularly save $5,000$ every three months for $11$ years. Consider an interest rate of $4,5\%$ p$.$a$.$ The bank calculates interest twice a year. For the calculation assume ordinary annuities.

a$.202,255\mathrm{.}3$

b$.28,149\mathrm{.}5$

c$.284,609\mathrm{.}2$

d$.282,653\mathrm{.}6$

e$.28,225\mathrm{.}53$

What will your quarterly perpetuity look like if you put $2,000,000$ into your pension fund? The pension fund guarantees $3\mathrm{.}7\%$ p$.$a$.$ with quarterly interest. Consider intermediate pension and ordinary annuities.

a$.18,330,4$

b$.18,500$

c$.18,246\mathrm{.}83$

d$.18,081\mathrm{.}86$

e$.18,350$

Consider a loan of $35,000.$ You will repay the debt in regular monthly instalments $($annuities$)$ over $4$ years. The bank requires $7\%$ p$.$a$..$ How much will be the amortization in the first instalment?

a$.204\mathrm{.}17$

b$.633\mathrm{.}95$

c$.729\mathrm{.}17$

d$.838\mathrm{.}12$

e$.271\mathrm{.}9$

Calculate the price of a bond with nominal value of $750,000.$ The coupon payments are $5\mathrm{.}5\%,$ the yield to maturity is $4\mathrm{.}8\%,$ and the maturity of the bond is $35$ years.

a$.838,178\mathrm{.}1$

b$.692,827\mathrm{.}6$

c$.669,199\mathrm{.}6$

d$.554,059\mathrm{.}9$

e$.807,967\mathrm{.}3$