3) Microform, Inc. issued bonds 10 years ago at $1,000 per bond. These bonds had a 15 year life when issues and the annual interest rate / coupon on the bonds was then 12%. This return was in line with the required returns by bondholders at that point as described next: Real Rate of Return = 4% Inflation Premium = 4% Risk Premium = 4% Total Return = 12% Assume that 10 years later the inflation premium is only 2% and the Risk Premium is now 8%. The Real Rate of Return remained at 4%. The new Total Return (yield) required rate remaining until maturity, would compute to what new price on the bond?
Par value | 1000 | ||||
Coupon rate | 12% | ||||
Years to maturity | (15-10 ) | 5 | |||
New Required Return = | 2+4+8 = | 14% | |||
Price of new bond = | PV of cash flows discounted at Required rate | ||||
Year | Cashflow | PV factor @ 14% | PV of cashflow | ||
1 | 120 | 0.877193 | 105.2632 | ||
2 | 120 | 0.769468 | 92.3361 | ||
3 | 120 | 0.674972 | 80.99658 | ||
4 | 120 | 0.59208 | 71.04963 | ||
5 | 1120 | 0.519369 | 581.6929 | ||
931.3384 | |||||
New price = | 931.3384 | ||||
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