Question

You have just purchased a newly issued municipal bond for $1,000. The bond pays $50 to...

You have just purchased a newly issued municipal bond for $1,000. The bond pays $50 to its holder at the end of the the first, second, and third years and pays $1,050 upon its maturity at the end of the following year.

a. What are the principal amount, the term, the coupon rate, and the coupon payment for your bond?

Instructions: Enter your responses as whole numbers.

Principal amount: $   

Term: years

Coupon rate: %

Coupon payment: $   


b. If you decide to sell your bond at the end of 3 years (after receiving the third $50 payment), what price can you expect for your bond if the one-year interest rate at that time is 2 percent? 4 percent? 6 percent?

Instructions: Enter your responses as whole numbers.

Expected price for the bond at:

2 percent: $   

4 percent: $   

6 percent: $

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Answer #1

The following are the data inputs in spreadsheet:

Purchasing price of the Bond Bond pays annually At maturity Bond pays 1000 50 1050 4 Solution (a) Principal Amount, Term, Coupon rate, Coupon payment Principal amount 1000 The principal amount is the par value of the bond which is $1,000 Term in vears At the time of maturity Bond pays the principal amount plus the coupon payment. As it pays S50 for the first, second, third year and following year (fourth) $1,050 which includes S50 coupon payment and S1,000 par value. Hence term in years is 4 10 Coupon rate -50/1000 Coupon rate is the annual interest payment dividend by the par value 12 Coupon payment 50 As, the bond pays S50 per year for four years, this is the coupon payment. 13 14 Solution (b) Expected price Time to maturity is 4 years (term), after three years, only one year is left to maturity 15 16 17 18 19 20 21 Par Value Coupon payment 1000 50 FV PMT NPER PV PV PV Number of years left to atty 1 Price @ 2% rate Price @ 4% rate Price @ 6% rate --PV(2%,B19,B18,B17 --PV(4%,B 19,B18,B17 --PV(6%,B 19,B 18,B17

The following are the obtained results in spreadsheet:

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