Followings are parts of today's spot interest rates (yes, they can be of a fraction of a year), quoted as eective annual rates.

maturity	Effective Annual Rate
1-month	1%
5-month	6%
18-month	10%

There is a bond which pays $10 in the end of the rst month, $50 in the end of the fth month, and $1000 in the end of the eighteenth month.

(a) What are the holding period returns and APR for each maturity.

(b) What is the price of the bond?