\[ V_{A}^{\prime \prime}\left(j_{0}\right)>V_{L}^{\prime \prime}\left(i_{0}\right) \] Question A fund must make payments of \( £ 50,000 \) at time 6 years and at time 8 vears. Interest rates are currently \( 7 \% \) pa effective at all durations. how that immunisation against small changes in the interest rate can be achieved by purchasing ppropriately chosen nominal amounts of a 5 -year zero-coupon bond and a 10-year zero-coupon ond.

If \( X=777 \times 7 \) and \( Y=77 \times 77 \) then which of the following is true?

\( P _ { 4 } = C _ { 3 } ^ { 7 } ( \frac { 3 a } { 2 } ) ^ { 7 - 4 + 1 } ( \frac { 2 } { 3 a } ) ^ { 4 - 1 } \)

2. Решить уравнение: \( y^{\prime \prime}-y=0, y(0)=3, y^{\prime}(0)=0 \)

The dry sand in the bunker needs to be dug ou new sand is needed to replace it. The following The density of dry sand is 144.2 Kg per r The truck hired to remove and deliver th per trip. Using this information, calculate the number o the sand dug out of the bunker and deliver the 1. Find the volume of sand needed to be 2. Find the Kg of sand needed. 3. Divide this by the amount per trip.

Evaluate \( \quad\left|\begin{array}{ll}-3 & 2 \\ -8 & 0\end{array}\right| \)