In: Finance
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?
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% |