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1 years ago Sbitany has an issue of $1,000 par value bonds with a 14 percent annual coupon interest rate
1 years ago Sbitany has an issue of $1,000 par value bonds with a 14 percent annual coupon interest rate. The issue has ten years of maturity. Bonds of similar risk are currently selling to yield a 12 percent rate of return. The current value of each Sbitany's bond is Sbitany has an issue of $1,000 par value bonds with a 14 percent annual coupon interest rate. The issue has ten years remaining to the maturity date. Bonds of similar risk are currently selling to yield a 12 percent rate of return. The current value of each Sbitany's bond is Al Safa Inc. plans to issue new bonds to finance its new project. Al-Safa has identified a company of similar risk with an outstanding bond issue that has an 8 percent coupon rate paid semiannually having a maturity of ten years. This firm's bonds are currently selling for $1.091.96. If interest is paid annually for both bonds, what must the coupon rate of the new bonds be in order for the issue to sell at par?
Expert Solution
1
| K = N |
| Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k] + Par value/(1 + YTM)^N |
| k=1 |
| K =9 |
| Bond Price =∑ [(14*1000/100)/(1 + 12/100)^k] + 1000/(1 + 12/100)^9 |
| k=1 |
| Bond Price = 1106.6 |
| Using Calculator: press buttons "2ND"+"FV" then assign |
| PMT = Par value * coupon %=1000*14/(100) |
| I/Y =12 |
| N =9 |
| FV =1000 |
| CPT PV |
| Using Excel |
| =PV(rate,nper,pmt,FV,type) |
| =PV(12/(100),9,-14*1000/(100),-1000,) |
2
| K = N |
| Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k] + Par value/(1 + YTM)^N |
| k=1 |
| K =10 |
| Bond Price =∑ [(14*1000/100)/(1 + 12/100)^k] + 1000/(1 + 12/100)^10 |
| k=1 |
| Bond Price = 1113 |
| Using Calculator: press buttons "2ND"+"FV" then assign |
| PMT = Par value * coupon %=1000*14/(100) |
| I/Y =12 |
| N =10 |
| FV =1000 |
| CPT PV |
| Using Excel |
| =PV(rate,nper,pmt,FV,type) |
| =PV(12/(100),10,-14*1000/(100),-1000,) |
3
| K = N |
| Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k] + Par value/(1 + YTM)^N |
| k=1 |
| K =10 |
| 1091.96 =∑ [(8*1000/100)/(1 + YTM/100)^k] + 1000/(1 + YTM/100)^10 |
| k=1 |
| YTM% = 6.7 |
| Using Calculator: press buttons "2ND"+"FV" then assign |
| PV =-1091.96 |
| PMT = Par value * coupon %=1000*8/(100) |
| N =10 |
| FV =1000 |
| CPT I/Y |
| Using Excel |
| =RATE(nper,pmt,pv,fv,type,guess) |
| =RATE(10,-8*1000/(100),1091.96,-1000,,) |
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