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Theory of interest / Renterekening - 152

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A 13%, R496053 security, with interest payable on 28 February, 31 May, 31 August, and 30 November; is redeemable on 28 February 2024 at R100% and the investor wants to earn a yield of 4.38% per year. What is the periodic interest that is received from this security? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n 13%, R496053 sekuriteit, waarvan die rente betaalbaar is op 28 Februarie, 31 Mei, 31 Augustus, en 30 November; is aflosbaar op 28 Februarie 2024 teen R100% en die belegger wil 'n opbrengskoers van 4.38% per jaar verdien. Wat is die periodieke rente wat verdien word uit hierdie sekuriteit? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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A 13%, R41771 security, with interest payable on 28 February, 31 May, 31 August, and 30 November; is redeemable on 28 February 2023 at R99% and the investor wants to earn a yield of 5.69% per year. What is the redemption price of the security? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n 13%, R41771 sekuriteit, waarvan die rente betaalbaar is op 28 Februarie, 31 Mei, 31 Augustus, en 30 November; is aflosbaar op 28 Februarie 2023 teen R99% en die belegger wil 'n opbrengskoers van 5.69% per jaar verdien. Wat is die aflossingswaarde van die sekuriteit? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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A person decided to invest money at the end of each quarter. His initial investment amount is R1124 but thereafter, starting with the second quarter, he decreased the amount by R43 each time. The accumulated investment after 4 years if interest is compounded at i(4) = 18% p.a., is? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n Persoon besluit om aan die einde van elke kwartjaar 'n bedrag in 'n bank te belê. Sy eerste belegging is R1124 en daarna besluit hy om vanaf die volgende belegging, die tweede kwartaal, die bedrag met R43 te verminder. As die bank rente teen i(4) = 18% betaal, wat sal die slotwaarde van die belegging na 4 jaar wees? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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A merchant owes a bank R21465 on which he pays 19% interest p.a., compounded monthly. He will repay the debt by making a payment at the end of every month over 8 years. The first payment is RP and every subsequent payment increases by 2%. What is the value of his first payment, P? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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'n Winkelier skuld ʼn bank R21465 waarop hy rente teen 19% p.j., maandeliks saamgestel moet betaal. Hy gaan die skuld aflos deur vir 8 jaar lank aan die einde van elke maand 'n paaiement te betaal. Die eerste paaiement is RP en elke verdere paaiement word verhoog met 2%. Wat is die grootte wat sy eerste paaiement, P? (Gee jou antwoord afgerond tot en met 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Tammy borrowed money from a bank and she is repaying the loan by making quarterly payments of R5576 at the end of every quarter, each payment includes interest and repayment of the principle. The loan will be paid off in 18 years and interest is calculated at a rate of 5.11% per year, compounded quarterly. How much interest did Tammy pay during year 3 of the loan? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Tammy het geld geleen by 'n bank en hy betaal die lening af deur kwartjaarlikse paaiemente, wat rente en kapitaaldelging insluit, van R5576 te maak aan die einde van elke kwartjaar. Die lening sal afbetaal wees na 18 jaar en rente word bereken teen 'n koers van 5.11% per jaar, kwartjaarliks saamgestel. Hoeveel rente is in totaal deur Tammy betaal in jaar 3 van die lening? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Sam borrowed an amount of R38957 from a bank at a rate of 4.56% per year, that must be repaid after 9 years.

Sam will be using the sinking fund method to repay the loan. If Sam is going to invest an amount in an account at the end of every 3-month period, the first investment at the end of the first 3-month period, and if Sam earns interest on his investment at a rate of 12.288% per year, what does the loan cost Sam each year? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Sam het R38957 geleen by 'n bank teen 'n rentekoers van 4.56% per jaar, en moet die bedrag terug betaal na 9 jaar. 

Sam gaan die delgingsfondsmetode gebruik om die lening terug te betaal. Indien Sam 'n bedrag gaan belê aan die einde van elke 3-maand periode, die eerste belegging aan die einde van die eerste 3-maand periode, en indien Sam rente verdien op sy belegging teen 'n koers van 12.288% per jaar, wat sal Sam se jaarlikse koste van die lening wees? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Zandile borrowed money from a bank and she is repaying the loan by making monthly payments of R1901 at the end of every month, each payment includes interest and repayment of the principle. The loan will be paid off in 7 years and interest is calculated at a rate of 13.728% per year, compounded monthly. What is the interest component of the 4th payment of the 5th year? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Zandile het geld geleen by 'n bank en sy betaal die lening af deur maandelikse paaiemente, wat rente en kapitaaldelging insluit, van R1901 te maak aan die einde van elke maand. Die lening sal afbetaal wees na 7 jaar en rente word bereken teen 'n koers van 13.728% per jaar, maandeliks saamgestel. Wat is die rentekomponent van die 4de paaiement van die 5de jaar? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Sam borrowed an amount of R44539 from a bank at a rate of 4.56% per year, that must be repaid after 13 years.

Sam will be using the sinking fund method to repay the loan. If Sam is going to invest an amount in an account at the end of every 3-month period, the first investment at the end of the first 3-month period, and if Sam earns interest on his investment at a rate of 8.639% per year, what does the loan cost Sam each year? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Sam het R44539 geleen by 'n bank teen 'n rentekoers van 4.56% per jaar, en moet die bedrag terug betaal na 13 jaar. 

Sam gaan die delgingsfondsmetode gebruik om die lening terug te betaal. Indien Sam 'n bedrag gaan belê aan die einde van elke 3-maand periode, die eerste belegging aan die einde van die eerste 3-maand periode, en indien Sam rente verdien op sy belegging teen 'n koers van 8.639% per jaar, wat sal Sam se jaarlikse koste van die lening wees? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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Cindy borrowed money from a bank and she is repaying the loan by making monthly payments of R1752 at the beginning of every month, the first payment is on the day that she received the loan. The loan will be paid off after 7 payments and interest is calculated at a rate of 13.239% per year, compounded monthly. How much will Cindy still owe the bank immediately before making payment number 5? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Cindy het geld geleen by 'n bank en sy betaal die lening af deur maandelikse paaiemente van R1752 te maak aan die begin van elke maand, sy maak die eerste betaling op die dag wat sy die lening kry. Die lening sal afbetaal wees na 7 paaiemente en rente word bereken teen 'n koers van 13.239% per jaar, maandeliks saamgestel. Hoeveel sal Cindy nog die bank skuld onmiddelik voordat sy paaiement 5 betaal? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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What amount can be paid into a savings account at the beginning of each month, instead of R1706 and the beginning of every 7-month period, if interest is calculated at a rate of 2.014% per month? (Give your answer rounded to 2 decimal places. If you think the answer is R1012.3456, type in 1012.35)

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Watter bedrag kan aan die begin van elke maand in 'n spaarrekening inbetaal word, in plaas van R1706 aan die begin van elke 7-maand period, indien rente bereken word teen 'n koers van 2.014% per maand? (Gee jou antwoord afgerond tot 2 desimale syfers. As jy dink die antwoord is R1012.3456, tik in 1012.35)

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