Question

On January 1, 2021, Water Wonderland issues $20 million of 7% bonds, due in six years, with interest payable semiannually on
3. If the market rate is 8%, will the bonds issue at face amount, a discount, or a premium? Calculate the issue price. (Round
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Answer #1
1.) Period Interest & Principal PV Factor @3% Present Value
1                    700,000 0.97087          679,609
2                    700,000 0.94260          659,820
3                    700,000 0.91514          640,598
4                    700,000 0.88849          621,943
5                    700,000 0.86261          603,827
6                    700,000 0.83748          586,236
7                    700,000 0.81309          569,163
8                    700,000 0.78941          552,587
9                    700,000 0.76642          536,494
10                    700,000 0.74409          520,863
11                    700,000 0.72242          505,694
12                    700,000 0.70138          490,966
12              20,000,000 0.70138    14,027,600
Total             28,400,000 20,995,400
Period Interest             700,000 =20000000*7%*1/2
The Bond is Issued at Premium and the issue price in $ 20,995,400.

2..) The Bond is issued at Face value and the issue price is $ 20,000,000 because

when the Contract rate & market rate are equal , bond will be issued at Face Value.

3.) Period Interest & Principal PV Factor @4% Present Value
1                    700,000 0.96154          673,078
2                    700,000 0.92456          647,192
3                    700,000 0.88900          622,300
4                    700,000 0.85480          598,360
5                    700,000 0.82193          575,351
6                    700,000 0.79031          553,217
7                    700,000 0.75992          531,944
8                    700,000 0.73069          511,483
9                    700,000 0.70259          491,813
10                    700,000 0.67556          472,892
11                    700,000 0.64958          454,706
12                    700,000 0.62460          437,220
12              20,000,000 0.62460    12,492,000
Total             28,400,000 19,061,556
The Bond is Issued at Discount and the issue price in $ 19,061,556.
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