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Mathematics Of Business And Finance 4th Edition Larry Daisley, Thambyrajah Kugathasan, Diane Huysmans - Solutions
Calculate the number of compounding periods per payment period,c, expressed as a fraction, wherever applicable, and the equivalent periodic interest rate per payment period (rounded to six decimal places, wherever applicable) that matches the payment period for each of the following:a. Interest
Kayla wanted to purchase a storage locker in her apartment building for $5000. She could either pay the entire amount or take a loan from the bank at 6.5% compounded monthly. She would have to pay $150 every month to settle the loan in four years. Which option should she choose and why?AppendixLO1
Rafael and Avni were wondering if they should pay $30,000 outright for a parking space in their condominium building or take a loan for that amount from the bank at 4% compounded monthly that requires making monthly payments of $460 for five years. Which option should they choose and why?AppendixLO1
How much would you have to pay now for a retirement annuity that would provide $3000 at the end of every three months at 5% compounded quarterly for the first ten years and $2500 at the end of each month at 6% compounded monthly for the following five years?AppendixLO1
How much should Wai Chun pay today for a retirement annuity that would provide him with $4000 at the end of every month for five years at 3.5% compounded monthly and $20,000 every six months for the next ten years at 4% compounded semi-annually?AppendixLO1
Falco Inc. paid $25,000 as a down payment for a machine. The balance was financed with a loan at 3.25% compounded semi-annually and required payments of $9000 to be made at the end of every six months for five years to settle the debt.a. What was the purchase price of the machine?b. What was the
Brandon purchased a computer-controlled machine for his machine shop by paying a down payment of $17,500. He financed the balance amount with a loan at 4.75% compounded semi-annually, which required a payment of $10,000 at the end of every six months for three years.a. What was the purchase price
Kamil received a loan from his bank at 7% compounded monthly so that he could purchase a car. He was required to pay the bank $300 at the end of every month for the next three years. What was the cash price of the car?AppendixLO1
What would be the purchase price of an annuity that provides $500 at the end of every month for five years and earns an interest rate of 4% compounded monthly?AppendixLO1
How much should Sankit have in a savings account that is earning 4% compounded semi-annually if he plans to withdraw $9000 from the account at the end of every six months for ten years?AppendixLO1
How much money should Eva deposit in an investment account that is growing at 6% compounded semi-annually to be able to withdraw $3300 at the end of every six months for four years?AppendixLO1
If $3000 is received at the end of every 3 months for 10.5 years, what will be the discounted value? Assume that money is worth 3% compounded quarterly.AppendixLO1
What is the discounted value of the following stream of payments: $1250 received at the end of every month for 3 years and 2 months? Assume that money is worth 2.75% compounded monthly.AppendixLO1
Claude invested $1500 at the end of every six months for four years and then $1750 at the end of every six months for the next two years. The investment earned 5% compounded semi-annually the first four years and 4.8% compounded semi-annually, thereafter. Calculate the accumulated value at the end
Payments of $1500 are made at the end of every three months for three years at 4.1% compounded quarterly followed by payments of $1750 at the end of every three months for the next two years at 4.25% compounded quarterly. Calculate the accumulated value of the annuity.AppendixLO1
Estelle contributed $900 at the end of every three months for seven years into an RRSP fund that earned 3.9% compounded quarterly for the first four years and 3.8 % compounded quarterly for the next three years. Calculate the accumulated value of her contributions for the seven-year period and the
An RESP fund, for a 12-year period, earned 3.75% compounded monthly for 7 years followed by 4.35% compounded monthly for the next 5 years. What will be the accumulated value of the fund and the interest earned if deposits of $125 were made at the end of every month?AppendixLO1
What will be the accumulated value of an annuity if contributions of $500 are made at the end of every month for five years followed by contributions of $750 at the end of every month for the next four years? Assume that money is worth 4.2% compounded monthly.AppendixLO1
Ali invested $1000 at the end of every six months for six years followed by $1250 at the end of every six months for three more years. If his investment was earning 3.25% compounded semi-annually, what will be the accumualted amount at the end of the nine-year period?AppendixLO1
Talicia saves $600 at the end of every month in an RESP at 4.5% compounded monthly for 15 years for her child's education.a. How much will she have at the end of 15 years?b. If she leaves the accumulated money in the savings account for another two years, earning the same interest rate, how much
Bogdan makes deposits of $2000 at the end of every year for ten years in a savings account at 3.5% compounded annually.a. How much will he have at the end of ten years?b. If he plans to leave the accumulated amount in the account for another five years at the same interest rate, how much will he
Kimora saved $750 of her salary at the end of every month in an RRSP earning 4% compounded monthly for 20 years. How much more would she have earned if she had saved this amount in an RRSP that was earning 4.25% compounded monthly?AppendixLO1
Adrian invests $500 at the end of every three months in a savings account at 6% compounded quarterly for 7 years and 9 months. How much more would he have earned if he had saved it in a fund that was providing an interest rate of 6.5% compounded quarterly?AppendixLO1
Milla saved $600 at the end of every year in her savings account at 6% compounded annually for five years.a. What is the accumulated value of the money at the end of five years?b. What is the interest earned?AppendixLO1
Sharleen contributed $400 towards an RRSP at the end of every month for four years at 2.5% compounded monthly.a. What is the accumulated value of the money at the end of four years?b. What is the interest amount earned?AppendixLO1
Laila contributes $1000 at the beginning of every month into an RRSP (Registered Retirement Savings Plan) earning 4% compounded annually. After ten years, she converts the RRSP to a RRIF (Registered Retirement Income Fund) that earns 6.5% compounded semi-annually and withdraws $2850 at the end of
Rebecca deposits $1850 at the beginning of every month into an RRSP earning 3.5% compounded semi-annually. After five years, she converts the RRSP to an RRIF that earns 3.75% compounded quarterly and withdraws $3560 at the end of every month from this fund for the next three years.AppendixLO1
Daria receives $2400 from an investment at the beginning of every month for 5 years and 11 months at 5% compounded semi-annually.AppendixLO1
Eddie pays $280 for a lease at the beginning of every month for 3 years and 6 months at 7% compounded annually.AppendixLO1
Afsoon deposits $800 at the end of every month for 20 years in a retirement fund at 2.5% compounded semi-annually.AppendixLO1
Kapil receives $1500 at the end of every month for 15 years from a retirement fund at 4% compounded semi-annually.AppendixLO1
Lin Hu pays $246.50 for a car lease at the beginning of every month for four years at 0.90% compounded monthly.AppendixLO1
Melinda pays $1800 for a loan at the beginning of every quarter for two years at 7% compounded quarterly.AppendixLO1
Isabella receives $5000 at the end of every six months for 10 years and 6 months for money that she loaned to a friend at 7.50% compounded semi-annually.AppendixLO1
Aida pays $1000 at the end of every three months for 5 years and 9 months towards her student loan at 4% compounded quarterly.AppendixLO1
In Problem 9, by how much would her amortization period have decreased if she had increased her periodic payment by 15% from her 15th payment onwards, instead of making the lump-sum payment?AppendixLO1
Natalie received a sales commission of $15,000 and decided to use this amount as a lump-sum payment towards her mortgage of $250,000 which was for 25 years at 2.88% compounded semi-annually. If she made the lump-sum payment at the time of the 15th payment, in addition to the regular monthly
Martin received a loan to purchase a locker at his condominium for $4000. The loan was amortized over two years at 3.26% compounded semi-annually for the entire period.a. What is the size of the monthly payments if they are rounded up to the next $10?b. What is the size of the final payment (if the
Thema just qualified to receive a mortgage from her bank at 3.5% compounded semi-annually for a five-year term. She purchased an apartment worth $220,000 and paid 10% as a down payment. The amortization period for the mortgage was 25 years and she was required to make monthly payments to settle the
In Problem 1, construct a partial amortization schedule showing details of the first three payments, last three payments, total payment made, and total interest paid.AppendixLO1
An automobile financing company was offering loans of $20,000 at 1.2% compounded monthly to purchase a specific model of its cars. If Alana received this loan and purchased the car, how much would she have to pay every month to amortize the loan in ten years? Construct a partial amortization
Hair & Care, a salon in Edmonton, purchased chairs for $25,000. It paid 10% of this amount as a down payment and received a loan for the rest at 8.25% compounded semi-annually. Its loan was amortized over five years by making monthly payments. Calculate the size of the payments and the principal
If Talisha can pay only $350 a month towards her student loan of $18,400 that she received at 7.45% compounded quarterly, what would be the balance on the loan at the end of four years and what would be her final payment to settle the entire amount?AppendixLO1
Aisha and her husband were planning to purchase an apartment in British Columbia. They could afford to pay $800 every month towards mortgage payments. Their mortgage broker was offering them a variable, open interest rate of 3.75% compounded semi-annually amortized over 25 years. Calculate the
Nikita received a mortgage to purchase a town-house and paid $1200 every month as mortgage payments. The variable, open interest rate on the mortgage was 2.85% compounded semi-annually and it was amortized over 25 years. What was the mortgage amount received?AppendixLO1
A $25,000 mortgage was amortized over three years by monthly repayments. The interest rate on the mortgage was fixed at 3.28% compounded semi- annually.a. What is the size of the payments if they are rounded up to the next $100?b. What is the size of the final payment (if the rounded payments from
Chen obtained a mortgage to purchase a parking spot at his condominium for $40,000. The mortgage was amortized over four years at 4.5% compounded semi- annually for the entire period.a. What is the size of the monthly payments if they are rounded up to the next $100?b. What is the size of the final
Maada and his wife purchased a house for $447,000 in Edmonton. They made a down payment of 20% of the value of the house and received a mortgage at 3.85% compounded semi-annually for the balance for 20 years. The interest rate was fixed for a period of five years.a. What is the monthly payment
Grace recently graduated from college and purchased an apartment for $210,000 in London. She paid 10% of this amount as a down payment and received a mortgage for the rest of the amount for 25 years. The interest rate on the mortgage was fixed at 4.5% compounded semi-annually for the first five
For Problem 6, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and total interest paid.AppendixLO1
For Problem 5, construct a partial amortization schedule showing details of the first three payments, last three payments, total payment made, and total interest paid.AppendixLO1
Aiden received a loan of $17,500 at 5.25% compounded quarterly to purchase a printer for his office. If he made equal payments at the end of every three months to settle the loan, calculate the size of his periodic payments and the total interest paid if he settled the loan in three years.
Sturdy Metals Inc. received a loan of $800,000 from the Small Business Banking Association to purchase additional factory space. It received the loan at 7.75% compounded monthly and had to make equal month- end payments for 20 years to amortize the loan. What was the size of the periodic payment
In Problem 4, calculate the size of her final payment and the interest portion and principal portion of her 5th payment.AppendixLO1
In Problem 3, calculate the size of the final payment and the interest portion and principal portion of the 18th payment.AppendixLO1
For Problem 6, calculate the interest portion and principal portion of the 30th payment.AppendixLO1
For Problem 5, calculate the interest portion and principal portion of the 40th payment.AppendixLO1
If $500 was paid every month to amortize a $16,850 student loan that was issued at 4.45% compounded daily, calculate the balance on the loan at the end of 2 years and 7 months and the size of the final payment.AppendixLO1
Henry could afford to pay only $1400 a month towards repayment of his student loan of $50,000 that he received at 8.55% compounded semi-annually. If he made these payments, what was the balance on his loan at the end of two years and what was his final payment to clear the loan?AppendixLO1
Abha purchased a new line of clothing for her designer boutique for $12,680. She paid 20% of this amount as a down payment and obtained a loan for the balance at 11% compounded monthly. If she amortized this loan over five years by making semi-annual payments, calculate the size of her payments and
Adapt Developers, a leading construction development company in Vancouver, purchased land for $1,000,000 in the city. It paid 35% of this amount as a down payment and received a loan for the balance at 10.45% compounded semi-annually. If its loan was amortized over ten years by making payments
A Calgary based mining company received a loan of $1,250,000 at 4.55% compounded semi-annually to purchase an industrial boiler. It paid off the loan in five years by making annual payments. Construct an amortization schedule providing details of its loan payments.AppendixLO1
Cranes Limited obtained a loan of $450,000 at 4% compounded monthly from its bank to train all its employees on new safety measures. If it made semi- annual payments to amortize the loan in four years, construct the amortization schedule for its loan.AppendixLO1
A $300,000 property mortgage is to be settled with monthly payments over a 15-year period. The rate for the mortgage is fixed at 3.65% compounded semi-annually.a. Determine the size of the monthly payments for the first term rounded to the next $100.b. In order to repay the mortgage faster the
A $285,000 property mortgage is to be settled with monthly payments over a 15-year period. The rate for the mortgage is fixed at 3.45% compounded semi-annually.a. Determine the size of the monthly payments for the first term rounded to the next $100.b. In order to repay the mortgage faster the
A $280,000 mortgage at 5.75% compounded semi-annually was settled with monthly payments of $1955.03.a. What is the amortization period?b. Instead of monthly payments, if accelerated bi-weekly payments of $977.50 were made, what will be the amortization period?c. How much interest will be saved if
A $420,000 mortgage at 4.75% compounded semi-annually was settled with monthly payments of $2435.73.a. What is the amortization period?b. Instead of monthly payments, if accelerated bi-weekly payments of $1217.50 were made, what will be the amortization period?c. How much interest will be saved if
Kim purchased a $250,000 condominium in Halifax with a down payment of 25% of the amount. She received a 20-year mortgage for the balance at a fixed interest rate of 4.75% compounded semi-annually for a three-year term. Payments were to be made at the end of every month.a. What is the size of the
A $300,000 apartment in Edmonton was purchased with a down payment of 20% of the amount. A 25-year mortgage was obtained for the balance. The negotiated fixed interest rate was 5.50% compounded semi-annually for a five-year term with repayments made at the end of every month.a. What is the size of
Earl purchased a house for $380,000 by paying 20% of the amount as a down payment and he received a 25-year mortgage for the balance. The interest rate was fixed at 4.5% compounded semi-annually for a term of five years and he was allowed to make prepayments of up to 20% of the original principal
Munroe purchased a house for $400,000. He paid 30% of the purchase price as a down payment and received a mortgage for the balance. The amortization period was for 25 years and he negotiated a fixed interest rate of 3.75% compounded semi-annually for a term of three years.a. What is the size of the
Ashi planned to obtain a mortgage to purchase a house but could only afford to pay a maximum amount of $1550 every month as mortgage payments. Assuming an average interest rate of 4.5% compounded semi-annually on mortgages amortized over 25 years, calculate the maximum amount of the
Aden and his fiance were planning to purchase an apartment in Calgary. They could afford to pay a maximum amount of $1000 every month as mortgage payments. Assuming an average interest rate of 2.5% compounded semi-annually on mortgages amortized over 20 years, calculate the maximum amount of the
William received a ten-year mortgage of $150,000 at an interest rate of 4.5% compounded semi-annually for the first five years.a. During the first five years, what was the size of the monthly payments, rounded up to the next $10?b. What was the balance on the mortgage at the end of 5 years?c.
A mortgage of $105,400 was to be amortized over seven years. The interest rate was a variable, closed rate of 2.35% compounded semi-annually. Three years after the mortgage was issued, the Bank of Canada increased its prime lending rate. Therefore, the variable interest rate on the mortgage
A mortgage for a condominium had a principal balance of $44,910 that had to be amortized over the remaining period of four years. The interest rate was fixed at 4.5% compounded semi-annually and payments were made monthly.a. Calculate the size of the monthly payments if they are rounded up to the
Bradley had five years left to clear the mortgage on his house. The balance on the mortgage was $12,545.50 and the interest rate was fixed at 3.45% compounded semi-annually for the remaining five years. He was settling the mortgage with monthly payments.a. Calculate the size of the monthly payments
Construct a partial mortgage schedule for Problem 10, showing the first two payments, last two payments, total payment made, and interest paid (assume that the rounded payments from (a) were made).AppendixLO1
Construct a partial mortgage schedule for Problem 9, showing the first two payments, last two payments, total payment made, and interest paid (assume that the rounded payments from (a) were made).AppendixLO1
A $100,000 mortgage was amortized over ten years by monthly payments. The interest rate on the mortgage was fixed at 5.5% compounded semi-annually for the entire period.a. Calculate the size of the payments if they are rounded up to the next $100.b. Calculate the size of the final payment (if the
Henry received a mortgage of $80,000 that was amortized over three years and fixed at an interest rate of 2.75% compounded semi-annually.a. What was the size of the monthly payments if they were rounded up to the next $500?b. What was the size of the final payment (if the rounded payments from (a)
Hector has qualified for a $450,000 mortgage. The mortgage is to be repaid with monthly payments over a 25-year period.a. What is the minimum down payment he will be required to provide in Canada?b. If Hector makes the minimum required down payment, how large will his monthly payments be given the
Liam has qualified for a $400,000 mortgage to buy a new home in the outskirts of the city. The mortgage is to be repaid with monthly payments over a 25-year period.a. What is the minimum down payment he will be required to provide in Canada?b. If Liam makes the minimum required down payment, how
Kiana and Peter would like to purchase a $675,000 four-bedroom home with an attached garage. The bank has qualified them for a mortgage at a fixed rate of 3.35% compounded semi-annually over a 25-year amortization period.a. What is the minimum down payment they will be required to provide in
Sumnit is a first-time home buyer. After viewing many homes, he has decided on a $339,000 two-bedroom house in an established suburb.a. What is the minimum down payment he will be required to provide in Canada?b. If Sumnit makes the minimum required down payment, how large will his monthly payments
Kamryn purchased a $284,000 home in a quiet neighbourhood. She financed 85% of the purchase price at a variable interest rate over 25 years.a. Although her rate was variable it remained unchanged for the first two years of the amortization period at 2.25% compounded semi-annually. What was the size
The Chui family purchased a condominium for $229,000. They financed 75% of the purchase price through their local bank at a variable interest rate over 20 years.a. Although their rate was variable it remained unchanged for the first 21 months of the amortization period at 3.25% compounded
Amanda purchased a townhouse for $320,000. She made a down payment of 10% of the value of the house and received a mortgage for the rest of the amount at 3.5% compounded semi-annually for 25 years. The interest rate was fixed for a five-year period.a. Calculate the monthly payment amount.b.
The Drew family purchased a villa on the outskirts of the city for $1,250,000. They made a down payment of 20% of the value and received a mortgage for the balance for a period of 25 years. The interest rate was fixed at 4.25% compounded semi-annually for a three-year period.a. Calculate the
For Problem 22, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and total interest paid.AppendixLO1
For Problem 21, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and total interest paid.AppendixLO1
For Problem 20, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and interest paid.AppendixLO1
For Problem 19, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and interest paid.AppendixLO1
For Problem 18, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and interest paid.AppendixLO1
For Problem 17, construct a partial amortization schedule showing details of the first two payments, last two payments, total payment made, and interest paid.AppendixLO1
Davis purchased a machine with a loan of $75,000 at 8.75% compounded daily. He settled the loan by making payments of $1300 at the end of every month.a. What was the reduction in the loan amount during the 13th to the 21st payments, both inclusive?b. What was the interest amount paid during the
Ming received a $15,000 loan at 7.75% compounded semi-annually that was to be repaid by payments of $550 at the end of every month. Upon completing the first 7 payments, he lost his job. However, his father helped him pay the 8th to the 12th payments.a. What was the reduction in the loan amount
Hank was paying $550 at the end of every month to settle a loan of $18,750 at 5.45% compounded quarterly.a. What was the total principal repaid in the 2nd y year?b. What was the total interest paid in the 2nd year?AppendixLO1
Darren Associates borrowed $200,500 at 7.85% compounded semi-annually. It repaid this loan by making payments of $4000 at the end of every month.a. What was the total principal repaid in the 4th year?b. What was the total interest paid in the 4th year?AppendixLO1
A loan of $100,000 at 5% compounded daily was amortized over ten years with payments made at the end of every month.a. What was the principal portion of the 24th payment?b. What was the interest portion of the 24th payment?c. What was the balance on the loan at the end of two years?AppendixLO1
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