Question 1201752
you can use the bond price calculator at <a href = "https://exploringfinance.com/bond-price-calculator/" target = "_blank">https://exploringfinance.com/bond-price-calculator/</a> to solve this problem.
here are the results from using this calculator.


the results are shown below at 4% per year compounded semi-annually.
<img src = "http://theo.x10hosting.com/2023/050101.jpg">



the results are shown below at 3% per year compounded semi-annually.
<img src = "http://theo.x10hosting.com/2023/050102.jpg">


what you are doikng is taking the present value of the cash flows at the interest rate indicated for the remaining time periods of the loan.


i duplicated these results in excel as shown below:


<img src = "http://theo.x10hosting.com/2023/050104.jpg">


it the annual coupon rate is the same as the yield to maturity rate, then the present value of the bond will be equal to the face of the bond.
the bond is being sold at part


if the annual coupon rate is more than the yield to maturity rate, then the present value of the bond will be higher than the face of the bond.
the bond is being sold at a premium.


if the annual coupon rate is less than the yield to maturity rate, then the present value of the bond will be lower than the face of the bond.
the bond is being sold at a discount.


here's a reference on the bond priciing formula.
i checked their results against the bond pricing calculator i gave you above and they match.
<a href = "https://www.educba.com/bond-pricing-formula/" target = "_blank">https://www.educba.com/bond-pricing-formula/</a>


any questions, give me a shout.
theo