Please help asap. Answer all parts. Correct answer to part $1$ already provided.

Please give answer with min amount of decimals.

Intro

As corporate treasurer, you have to pay $$23$ million in one year and again in two years. Bonds of all maturities currently yield $5\%.$

Part $1$

What is the duration of the liability?

The duration is $1\mathrm{.}488$ years.

Part $2$

If you buy zero$-$coupon bonds with a maturity equal to the duration calculated in the previous part, what should be their combined face value $($in $$)?$

$0+$ decimals

Attempt $1/10$ for $7$ pts$.$

Part $3$

If interest rates suddenly go up to $6\%,$ what is your immediate funding surplus $($positive number$)$ or shortfall $($negative number$)($in $$)?$ Use the exact duration, not the rounded one shown as solution to part $1.$

$0+$ decimals

Attempt $1/10$ for $7$ pts$.$

Part $4$

If interest rates suddenly go down to $4\%,$ what is your immediate funding surplus $($positive number$)$ or shortfall $($negative number$)($in $$)?$ Use the exact duration, not the rounded one shown as solution to part $1.$

$0+$ decimals