A loan is redeemable at par at the end of 25 years. Interest is payable quarterly at a rate of 4% p.a. What price should be paid at issue by an investor who does not pay tax, to obtain an effective yield of 6% p.a.?
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Correct answer: P0=£75.57 (per £100 unit nominal) no tables, only formulas
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- A lender makes a loan of $100,000 at a 6% interest rate for 25 years with monthly payments. The lender will require an origination fee of $1,000 and will also discount the loan by some amount. Suppose the lender discounts the loan by the amount calculated in the last question. What is the annual percentage rate (APR) on this loan? a. 5.45% b. 6.00% c. 6.11% d.6.20% e. 6.65% Assume the borrower repays the loan after 8 years. What is the effective borrowing cost (EBC) on this loan? a. 6.10 b. 6.17 c. 6.33 d. 6.50 e. 6.84You borrow $1,000 from the bank and agree to repay the loan over the next year in 12 equal monthly payments of $90. However, the bank also charges you a loan initiation fee of $18, which is taken out of the initial proceeds of the loan. What is the effective annual interest rate on the loan, taking account of the impact of the initiation fee? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Use a financial calculator or Excel. Effective annual interest rate 1.49 %You've borrowed $6,903.71 and agreed to pay back the loan with monthly payments of $270. Assume the interest rate is 15% stated as an APR. a. How long will it take you to pay back the loan? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. Number of months b. What is the effective annual rate on the loan? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Effective annual rate %
- You plan to borrow $47.400 at a 7.5% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2? a. $3,623.01 b. $2,992.92 c. $2,835.40 Od. $2,520.35 e. $3,150.44A floating rate mortgage loan is made for $155,000 for a 30 -year perlod at an Initial rate of 12 percent interest. However, the borrower and lender have negotlated a monthly payment of $1,240. Required: a. What will be the loan balance at the end of year 1 ? b. If the interest rate increases to 13 percent at the end of year 2 , how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,240 ?Your company are offered a bank loan with an annual percentage ate (APR) of 5 percent with quarterly compounding. What is the effective annual rate (EAR) on this loan? (Answers are rounded to two decimals) a) 5.00 % b) 21.55 % c) 5.09 % d) 1.25 % e) 105.09 %
- A floating rate mortgage loan is made for $195,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,560. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,560? Complete this question by entering your answers in the tabs below. Required A Required B What will be the loan balance at the end of year 1? Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Loan balanceA floating rate mortgage loan is made for $185,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,480. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,480?You plan to borrow $37,200 at a 7.2% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2? O a. $2,678.40 O b. $2,370.79 O c. $2,404.40 O d. $6,950.78 Oe. $6,483.94
- A mortgage loan having a face value of \\( \\$ 265,000 \\) is arranged by a mortgage broker. From this face value, the broker deducted a fee of \\( \\$ 4,000 \\). The mortgage is written at a contract rate of \\( 3.2 \\% \\) compounded semiannually for a twenty-five year term, with monthly payments. What is the annual cost of borrowing, including the brokerage fee, expressed as an effective interest rate? \\( 3.00 \\% \\) \\( 3.37 \\% \\) \\( 3.73 \\% \\) \\( 4.15 \\% \\) \\( 4.09 \\% \\)You plan to borrow $40,100 at a 6.9% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2? O a. $2,446.20 O b. $2,479.22 O c. $2,766.90 O d. $6,936.17 O e. $7,414.76Royal Company holds a loan with an interest rate of 7.00% compounded semi-annually. Calculate the effective rate of the loan.