Question

In: Finance

1. Find the price of a three year, 7% coupon bond that is yielding 6%. The...

1. Find the price of a three year, 7% coupon bond that is yielding 6%. The principal is 1000

2. Timco bonds are currently valued at 1015. They have 4 years until maturity and the coupon rate is 4%. What is the yield?

3. Last year Timco paid a 2 dividend. We think that next year they will pay a 2.26 dividend. What is Timco's capital gains yield?

Solutions

Expert Solution

1) Present Value = Future value/ ((1+r)^t)
where r is the interest rate that is 6% and t is the time period
Price of bond = sum of present values of future cash flows
Face value 1000
Coupon rate 7%
Annual Coupon 70
Year 1 2 3
cash flow 70 70 1070
present value 66.04 62.30 898.39
Sum of present values 1026.73
The price of the bond = $1026.73
2) Present Value = Future value/ ((1+r)^t)
where r is the yield and t is the time period
Price of bond = sum of present values of future cash flows
Price of bond = $1015
Face value 1000
Coupon rate 4%
Annual Coupon 40
Using excel find the yield so that the price of the bond equals 1015
Yield/r 0.0359
Year 1 2 3 4
cash flow 40 40 40 1040
present value 38.61 37.28 35.98 903.15
Sum of present values 1015
The yield is equal to 3.59%

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