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Yield to maturity

Subject:FinancePrice:2.87 Bought7

Yield to maturity. A firm's bonds have a maturity of 8 years with a 1000 face value, have an 11% semiannual coupon, are callable in 4 years at $1154, and currently sell at a price of $ 1283.09. What are their nominal yield to maturity and their nominal yield to Call? WHat return should investors expect to earn on these bonds?

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Answer:

1 Face value (FV) $                                  1,000.00
2 Coupon rate 11.00%
3 Number of compounding periods per year                                                     2
1*2/3 Interest per period (PMT) $                                        55.00
  Bond price (PV) $                                 -1,283.09
4 Number of years to maturity 8
5 = 4*3 Number of compounding periods till maturity (NPER)                                                   16
  Bond yield to maturity RATE(NPER,PMT,PV,FV)*2
     
  Bond yield to maturity 6.42%
1 Call price (Here it is FV) $                                        1,154
2 Coupon rate 11.00%
3 Number of compounding periods per year 2
1*2/3 Interest per period (PMT) $                                        55.00
  Bond price (PV) $                               (1,283.09)
4 Number of years to call 4
5 = 4*3 Number of compounding periods till call (NPER) 8
  Bond Yield to call RATE(NPER,PMT,PV,FV)*2
     
  Bond Yield to call 6.32%