
Respuesta :
Answer:
the net present value of the refunding = $453,443
Explanation:
Given that:
Amount issued by  City of  Melrose = $3,000,000
Old rate of coupon = 8%
Period (years) = 20
Call premium = 6%
New rate coupon = 6%
Flotation cost = 2%
For the cost of refunding ; we have:
Call premium = 6% × $3,000,000
Call premium = 0.06  × $3,000,000
Call premium = $180000
Floatation cost = 2%  × $3,000,000
Floatation cost = 0.02 × $3,000,000
Floatation cost = $60000
The total investment outlay = Call premium + Flotation cost
The total investment outlay = $180000 Â + $60000
The total investment outlay = $240000
However, the interest on the old bond per  6 months = (old coupon/2 )  × Amount issued
the interest on the old bond per  6 months = (8%/2)  ×  $3000000
the interest on the old bond per  6 months = (0.08/2) ×  $3000000
the interest on the old bond per  6 months = 0.04 ×  $3000000
the interest on the old bond per  6 months = $120000
the interest on the new bond per  6 months = (new coupon/2 )  × Amount issued
the interest on the new bond per  6 months = (6%/2)  ×  $3000000
the interest on the new bond per  6 months = (0.06/2) ×  $3000000
the interest on the new bond per  6 months = 0.03  ×  $3000000
the interest on the new bond per  6 months = $90000
Amount savings per 6 months = $120000 - $90000
Amount savings per 6 months = $30000
Finally, the present value for the savings = 30000 × PVIFA(0.03,40)
the present value for the savings = $693,443
Thus;
the net present value of the refunding = the present value for the savings - Cost of refunding
the net present value of the refunding = $693,443 - $240000
the net present value of the refunding = $453,443