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A firm borrows a $30,000 from the bank at 13% compounded annually to purchase so

ID: 2819252 • Letter: A

Question

A firm borrows a $30,000 from the bank at 13% compounded annually to purchase some new machinery. this loan is to be repaid in equal annual installments at the end of each year over the next 4 years. a). Evaluate how much each annual payment will be? b). set up an amortization schedule for a $30,000 loan to be repaid in equal installments at the end of each year, of the next 4 years. c) how much interest would be paid on this loan? ABZ corporation issued new 20 year bonds on January 1, 1990 the bonds sold at par (1000) and paid a 12% coupon annually. i) what was the bonds price and current yeild on January 1, 2000 assuming interest rates fell to 10%? ii) on January 1 2005 these bonds sold for K900 in the market. what was the YTM at that date?

Explanation / Answer

Principal = 30,000
PMT = Principal /(1 - ( 1+r)-n) /r = 30,000/(1-(1+13%)-4/13% = 10,085.83

Amortisation schedule

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Years Beginning Principal PMT Interest Part of PMT= beginning Principal * 13% Principal Part of PMT= PMT - Interest part of PMT Ending Principal= Beginning Principal - Principal Part of PMT 1 30000 $10,085.83 3900 $6,185.83 $23,814.17 2 $23,814.17 $10,085.83 3095.84263 $6,989.98 $16,824.19 3 $16,824.19 $10,085.83 2187.144802 $7,898.68 $8,925.51 4 $8,925.51 $10,085.83 1160.316257 $8,925.51 $0.00
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