Question
Exactly two years ago, a company took out a loan of $1,000,000 at a rate of 10% per annum. The repayments are annual, constant, and
Exactly two years ago, a company took out a loan of $1,000,000 at a rate of 10% per annum. The repayments are annual, constant, and spread over 10 years. a) Represent the loan schedule from the company's point of view, starting from its initial date. b) Indicate the type of flow found and calculate the amount of the payments. c) Calculate the principal remaining due as of today (after two payments). d) Considering the first two payments as a whole, what percentage of these payments covered the interest on the loan? e) Instead of the expected amount, the company made lower payments for the first two years. It still has 90% of the initial loan to repay and the loan is renegotiated today. The new loan maintains the maturity date originally scheduled for the previous loan, but the (constant) repayments are semi-annual and the rate is 14% effective annual. Calculate the new repayments. f) The company also considers issuing an 8-year bond with a par value of $900,000. The security will be issued today on the market at a price of $1,000,000, with semi-annual coupons of $25,000. Calculate the bond's ERR as a semi-annual capitalization APR.
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