Task $3.$ What is the difference between the first and last instalment of a mortgage of $350700$ PLN taken out for $35$ years

if the loan is repaid in monthly diminishing instalments and the interest rate is $8\%.$ For the last instalment, also provide

the interest and capital instalment.

Task $4.$ There is a "console" bond on the market $($i$.$e$.$ perpetual bond$)$ immediately after the payment of a coupon with a

nominal value of $10,000$ PLN bearing an interest rate of $6\%,$ paying coupons at the end of the month. The rate of return

$("$the yield to maturity"$)$ on this bond is $6\mathrm{.}65\%.$ Please calculate the nominal value of a ten$-$year zero$-$coupon bond, which

costs the same as the described perpetual bond and which return to maturity is $5,2146\%.($A perpetual bond is a bond that

is never bought back by the issuer, but it pays to the bond holder the fixed income for an unlimited time $/$ for ever$).$