Arjay purchases a bond, newly issued by Amalgamated Corporation, for $$1,000.$ The bond pays $$30$ to its holder at the end of the first few years and pays $$1,030$ upon its maturity at the end of the $10$ years.

a$.$ What are the principal amount, the term, the coupon rate, and the coupon payment for Arjay's bond?

Instructions: Enter your responses as whole numbers.

Principal amount: $ $1,000$

Term: $10$ years

Coupon rate: $3\%$

Coupon payment: $ $30$

b$.$ After receiving the second coupon payment $($at the end of the second year$),$ Arjay decides to sell his bond in the bond market. What price can he expect for his bond if the one$-$year interest rate at that time is $1$ percent? $6$ percent? $8$ percent?

Instructions: Enter your responses as whole numbers.

Expected price for the bond at:

$1$ percent: $

$6$ percent: $

$8$ percent: $