Some bonds have irregular first coupons.

$$ A long first coupon is paid on the second anniversary date of the bond and starts

accruing on the issue date. So$,$ the first coupon value is greater than the normal

coupon rate.

$$ A long first coupon with regular value is paid on the second anniversary date of

the bond and starts accruing on the first anniversary date. So$,$ the first coupon

value is equal to the normal coupon rate.

$$ A short first coupon is paid on the first anniversary date of the bond and starts

accruing on the issue date. The first coupon value is smaller than the normal

coupon rate.

$$ A short first coupon with regular value is paid on the first anniversary date of

the bond and has a value equal to the normal coupon rate.

Consider the following four bonds with nominal value equal to Eur $1$ million and

annual coupon frequency:

$$ Bond $1$: issue date $05/21/96,$ coupon $5\%,$ maturity date $05/21/02,$ long first

coupon, redemption value $100\%$;

$$ Bond $2$: issue date $02/21/96,$ coupon $5\%,$ maturity date $02/21/02,$ long first

coupon with regular value, redemption value $99\%$;

$$ Bond $3$: issue date $11/21/95,$ coupon $3\%,$ maturity date $3$ years and $2$ months,

short first coupon, redemption value $100\%$;

$$ Bond $4$: issue date $08/21/95,$ coupon $4\mathrm{.}5\%,$ maturity date $08/21/00,$ short first

coupon with regular value, redemption value $100\%.$

Compute the future cash flows of each of these bonds.