## Answers

Let the bind with coupons be Bond A and the bond without coupons be bond B

**Bond Price = ∑(C _{n} / (1+YTM)^{n} )+ P / (1+i)^{n}**

Where

**n =**Period which takes values from 0 to the nth period till the cash flows ending period**C**Coupon payment in the nth period_{n}=**YTM =**interest rate or required yield**P =**Face Value of the bond

Therefore using this formula we get,

**Soln for A:**

Price of bond A when the interest is 3% = $159.71

Price of Bond B when the interest is 3% = $74.41

When interest is at 6%

Price of bond A = $129.44

Price of Bond B = $55.84

**Soln for B:**

When the interest rises from 3 to 6 %,

Price of Bond A falls by $30.27 which is 18.95% decrease (30.27/159.71*100)

whereas,

Price of bond B falls by $18.57 which is 24.95% decrease (18.57/74.41*100)

**Therefore the Price of bond B falls by a larger percentage than the price of bond A. This is because Bond A offers coupons of $10 every year. With this, the value of the bonds goes up at the end of every year. With the change in interest rate, though bond A decreases more in terms of value, in terms of percentage, Bond B falls by a larger percentage**