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10 years ago, the City of Melrose issued $3,000,000 of 8% coupon, 30-year, semia

ID: 2709225 • Letter: 1

Question

10 years ago, the City of Melrose issued $3,000,000 of 8% coupon, 30-year, semiannual payment, tax-exempt muni bonds. The bonds had 10 years of call protection, but now the bonds can be called if the city chooses to do so. The call premium would be 6% of the face amount. New 20-year, 6%, semiannual payment bonds can be sold at par, but flotation costs on this issue would be 2% of the amount of bonds sold. What is the net present value of the refunding? Note that cities pay no income taxes, hence taxes are not relevant.

$453,443

$476,115

$499,921

$524,917

$551,163

Explanation / Answer

a. $453,443

Cost of refunding:

PV of savings, 40 periods @ new rate/2 = $693,443

NPV of refunding = PV of savings – Cost of refunding = $453,443

Call premium: 6% Old rate: 8% Flotation %: 2% New rate: 6% Amount: $3,000,000 Years: 20
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