Question 1

A $5000 bond that pays 6% semi-annually is redeemable at par in 14 years. Calculate the purchase price if it is sold to yield 8% compounded semi-annually.

Accepted Answer

PMT =   = $150
PP = 5000(1 + 0.04)-28 + 150   PP = 1667.39 + 2499.46
PP = $4166.85
Programmed solution:   The purchase price is 1667.39 + 2499.46 = $4166.85

Question 2

A $200 000 bond is redeemable at 108 in 14 years. If interest on the bond is 5.5% payable semi-annually, what is the purchase price to yield 4% compounded semi-annually?

Accepted Answer

PP = 200000.00(1.08)(1.02)^-28 + 5500.00

Question 3

A $100 000.00, 7.2% bond with quarterly coupons redeemable at par is purchased 11 years before maturity to yield 6% compounded semi-annually. Determine the premium or discount.

Accepted Answer

FV = $100 000; P/Y = 4; C/Y = 2; c =   = 0.5; n = 11(4) = 44; p =   - 1 = .014889157
Since b > i adjusted, the bond sells at a premium
Premium=[100000(0.018) - 100000(0.014889157)]

Question 4

A $1000 bond, with interest at 8% payable semi-annually on January 1 and July 1, was purchased on October 8 at 104 plus accrued interest. What is the purchase payment for the bond?

Accepted Answer

Days of accrued interest = 99

Question 5

A $200 000.00, 6% bond with semi-annual coupons is redeemable at par. What is the purchase price of the bond six years before maturity to yield 8% compounded semi-annually?

Accepted Answer

FV = $200 000; P/Y = C/Y = 2;

Question 6

A 4.5% annuity bond of $50 000 with interest payable quarterly is to be redeemable at par in seven years with a yield 6% compounded quarterly. What is the gain or loss if the bond is sold six years after the date of purchase at 99.625?

Accepted Answer

A)  $535.20 Gain 
B)  $535.20 Loss 
C)  $4073.76 Gain 
D)  $4073.76 Loss 
E)  $916.87 Loss 
A)  $535.20 Gain 
B)  $535.20 Loss 
C)  $4073.76 Gain 
D)  $4073.76 Loss 
E)  $916.87 Loss

Question 7

A $1000, 6.5% bond redeemable at par in four years bears coupons payable annually. Compute the premium or discount and the purchase price if the yield, compounded annually, is 7.5%.

Accepted Answer

FV = $1000; P/Y = C/Y = 1; n =

Question 8

A $10 000, 7.2% bond with semi-annual coupons is purchased 3 years before maturity. Calculate the discount or premium if the bond is sold to yield 6% compounded semi-annually.

Accepted Answer

FV = $10 000; P/Y = 2; C/Y = 2; n = 3(2)

Question 9

A $25 000, 7% bond with semi-annual coupons redeemable at par in twenty-two years is purchased to yield 6% compounded semi-annually. Determine the gain or loss if the bond is sold seven years after the date of purchase at 98.25.

Accepted Answer

FV = $25 000; P/Y = C/Y = 2; b

Question 10

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. Calculate the shortage of the actual interest received compared to the required interest based on the yield rate.

Accepted Answer

A)  $337.50 
B)  $437.50 
C)  $100 
D)  $1350 
E)  $1750 
A)  $337.50 
B)  $437.50 
C)  $100 
D)  $1350 
E)  $1750

Question 11

Twenty $5 000 bonds redeemable at par bearing 6% coupons payable quarterly are sold eight years before maturity to yield 5.5% compounded annually. What is the purchase price of the bonds?

Accepted Answer

FV = 20(5 000) = $100 000; P/Y = 4; C/Y

Question 12

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. The bond was sold a year later at 102. What is the gain or loss on the sale of the bond?

Accepted Answer

A)  $740.51 gain 
B)  $740.51 loss 
C)  $1240.50 gain 
D)  $1240.50 loss 
E)  $500 gain 
A)  $740.51 gain 
B)  $740.51 loss 
C)  $1240.50 gain 
D)  $1240.50 loss 
E)  $500 gain

Question 13

A $250 000, 7% bond redeemable at par with interest payable semi-annually is bought 4 years before maturity. Determine the premium or discount and the purchase price if the bond is purchased to yield:
a) 6.5% compounded semi-annually
b) 8% compounded semi-annually

Accepted Answer

FV = $250 000; P/Y = 2; C/Y = 2; b = @#IMG-DLM& =

Question 14

A $50 000 bond bearing interest at 6.5% bond payable semi-annually matures in 10 years. If it is bought to yield 5.7% compounded semi-annually, what is the purchase price of the bond?

Accepted Answer

FV = $50 000; n = 10(2) = 20;

Question 15

Find the gain or loss on the sale without constructing a bond schedule for three $100 000, 5.5% bonds with quarterly coupons redeemable at par on September 1, 2017, bought on May 1, 2011, to yield 6% compounded quarterly. The bonds were sold on January 21, 2014, at 93.5.

Accepted Answer

FV = $3(100 000) = $300 000; P/Y = C/Y =

Question 16

A $25 000, 6% bond redeemable at par is purchased 11 years before maturity to yield 6.9% compounded semi-annually. If the bond interest is payable semi-annually, what is the purchase price of the bond?

Accepted Answer

FV = $5 000; n = 11(2) = 22; P

Question 17

A $50 000.00, 6% bond with semi-annual coupons redeemable at par in 14 years is purchased to yield 8% compounded semi-annually. What is the gain or loss if the bond is sold four years before maturity at 99.25?

Accepted Answer

FV = $50 000; P/Y = C/Y = 2; n

Question 18

A $125 000 bond, redeemable at par in three years with 7.5% coupons payable quarterly, is bought to yield 6% compounded quarterly.
(i) Compute the premium or discount and the purchase price.
(ii) Construct a schedule for amortization of premium.

Accepted Answer

FV = $125 000; P/Y = C/Y = 4, b = @#IMG-DLM& = 0.0

Question 19

A $50 000 bond bears interest at 4.5% payable semi-annually and is redeemable at par on November 4, 2022. The bond is sold on March 20, 2013, to yield 5.5% compounded semi-annually. What is the cash price?

Accepted Answer

FV = 50 000; PMT = 50000( @#IMG-DLM& ) = $1125.00;

Question 20

A $5000, 6.25% bond with interest payable annually redeemable at par in eight years is purchased to yield 7.5% compounded annually. Find the premium or discount and the purchase price and construct the appropriate bond schedule.

Accepted Answer

FV = $5000; P/Y = C/Y = 1; b =

A $5000 bond that pays 6% semi-annually is redeemable at par in 14 years. Calculate the purchase price if it is sold to yield 8% compounded semi-annually.

A $200 000 bond is redeemable at 108 in 14 years. If interest on the bond is 5.5% payable semi-annually, what is the purchase price to yield 4% compounded semi-annually?

A $100 000.00, 7.2% bond with quarterly coupons redeemable at par is purchased 11 years before maturity to yield 6% compounded semi-annually. Determine the premium or discount.

A $1000 bond, with interest at 8% payable semi-annually on January 1 and July 1, was purchased on October 8 at 104 plus accrued interest. What is the purchase payment for the bond?

A $200 000.00, 6% bond with semi-annual coupons is redeemable at par. What is the purchase price of the bond six years before maturity to yield 8% compounded semi-annually?

A 4.5% annuity bond of $50 000 with interest payable quarterly is to be redeemable at par in seven years with a yield 6% compounded quarterly. What is the gain or loss if the bond is sold six years after the date of purchase at 99.625?

A $1000, 6.5% bond redeemable at par in four years bears coupons payable annually. Compute the premium or discount and the purchase price if the yield, compounded annually, is 7.5%.

A $10 000, 7.2% bond with semi-annual coupons is purchased 3 years before maturity. Calculate the discount or premium if the bond is sold to yield 6% compounded semi-annually.

A $25 000, 7% bond with semi-annual coupons redeemable at par in twenty-two years is purchased to yield 6% compounded semi-annually. Determine the gain or loss if the bond is sold seven years after the date of purchase at 98.25.

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. Calculate the shortage of the actual interest received compared to the required interest based on the yield rate.

Twenty $5 000 bonds redeemable at par bearing 6% coupons payable quarterly are sold eight years before maturity to yield 5.5% compounded annually. What is the purchase price of the bonds?

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. The bond was sold a year later at 102. What is the gain or loss on the sale of the bond?

A $250 000, 7% bond redeemable at par with interest payable semi-annually is bought 4 years before maturity. Determine the premium or discount and the purchase price if the bond is purchased to yield: a) 6.5% compounded semi-annually b) 8% compounded semi-annually

A $50 000 bond bearing interest at 6.5% bond payable semi-annually matures in 10 years. If it is bought to yield 5.7% compounded semi-annually, what is the purchase price of the bond?

Find the gain or loss on the sale without constructing a bond schedule for three $100 000, 5.5% bonds with quarterly coupons redeemable at par on September 1, 2017, bought on May 1, 2011, to yield 6% compounded quarterly. The bonds were sold on January 21, 2014, at 93.5.

A $25 000, 6% bond redeemable at par is purchased 11 years before maturity to yield 6.9% compounded semi-annually. If the bond interest is payable semi-annually, what is the purchase price of the bond?

A $50 000.00, 6% bond with semi-annual coupons redeemable at par in 14 years is purchased to yield 8% compounded semi-annually. What is the gain or loss if the bond is sold four years before maturity at 99.25?

A $125 000 bond, redeemable at par in three years with 7.5% coupons payable quarterly, is bought to yield 6% compounded quarterly. (i) Compute the premium or discount and the purchase price. (ii) Construct a schedule for amortization of premium.

A $50 000 bond bears interest at 4.5% payable semi-annually and is redeemable at par on November 4, 2022. The bond is sold on March 20, 2013, to yield 5.5% compounded semi-annually. What is the cash price?

A $5000, 6.25% bond with interest payable annually redeemable at par in eight years is purchased to yield 7.5% compounded annually. Find the premium or discount and the purchase price and construct the appropriate bond schedule.

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Simple Interest

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Compound Interest - Future Value and Present Value

Compound Interest - Further Topics

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Exam 15: Bond Valuation

A $5000 bond that pays 6% semi-annually is redeemable at par in 14 years. Calculate the purchase price if it is sold to yield 8% compounded semi-annually.

A $200 000 bond is redeemable at 108 in 14 years. If interest on the bond is 5.5% payable semi-annually, what is the purchase price to yield 4% compounded semi-annually?

A $100 000.00, 7.2% bond with quarterly coupons redeemable at par is purchased 11 years before maturity to yield 6% compounded semi-annually. Determine the premium or discount.

A $1000 bond, with interest at 8% payable semi-annually on January 1 and July 1, was purchased on October 8 at 104 plus accrued interest. What is the purchase payment for the bond?

A $200 000.00, 6% bond with semi-annual coupons is redeemable at par. What is the purchase price of the bond six years before maturity to yield 8% compounded semi-annually?

A 4.5% annuity bond of $50 000 with interest payable quarterly is to be redeemable at par in seven years with a yield 6% compounded quarterly. What is the gain or loss if the bond is sold six years after the date of purchase at 99.625?

A $1000, 6.5% bond redeemable at par in four years bears coupons payable annually. Compute the premium or discount and the purchase price if the yield, compounded annually, is 7.5%.

A $10 000, 7.2% bond with semi-annual coupons is purchased 3 years before maturity. Calculate the discount or premium if the bond is sold to yield 6% compounded semi-annually.

A $25 000, 7% bond with semi-annual coupons redeemable at par in twenty-two years is purchased to yield 6% compounded semi-annually. Determine the gain or loss if the bond is sold seven years after the date of purchase at 98.25.

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. Calculate the shortage of the actual interest received compared to the required interest based on the yield rate.

Twenty $5 000 bonds redeemable at par bearing 6% coupons payable quarterly are sold eight years before maturity to yield 5.5% compounded annually. What is the purchase price of the bonds?

Nick buys a $25 000, 5.4% bond with quarterly interest coupons, 3 years before maturity, to yield 7% compounded quarterly. The bond was sold a year later at 102. What is the gain or loss on the sale of the bond?

A $250 000, 7% bond redeemable at par with interest payable semi-annually is bought 4 years before maturity. Determine the premium or discount and the purchase price if the bond is purchased to yield: a) 6.5% compounded semi-annually b) 8% compounded semi-annually

A $50 000 bond bearing interest at 6.5% bond payable semi-annually matures in 10 years. If it is bought to yield 5.7% compounded semi-annually, what is the purchase price of the bond?

Find the gain or loss on the sale without constructing a bond schedule for three $100 000, 5.5% bonds with quarterly coupons redeemable at par on September 1, 2017, bought on May 1, 2011, to yield 6% compounded quarterly. The bonds were sold on January 21, 2014, at 93.5.

A $25 000, 6% bond redeemable at par is purchased 11 years before maturity to yield 6.9% compounded semi-annually. If the bond interest is payable semi-annually, what is the purchase price of the bond?

A $50 000.00, 6% bond with semi-annual coupons redeemable at par in 14 years is purchased to yield 8% compounded semi-annually. What is the gain or loss if the bond is sold four years before maturity at 99.25?

A $125 000 bond, redeemable at par in three years with 7.5% coupons payable quarterly, is bought to yield 6% compounded quarterly. (i) Compute the premium or discount and the purchase price. (ii) Construct a schedule for amortization of premium.

A $50 000 bond bears interest at 4.5% payable semi-annually and is redeemable at par on November 4, 2022. The bond is sold on March 20, 2013, to yield 5.5% compounded semi-annually. What is the cash price?

A $5000, 6.25% bond with interest payable annually redeemable at par in eight years is purchased to yield 7.5% compounded annually. Find the premium or discount and the purchase price and construct the appropriate bond schedule.

Review of Arithmetic

Review of Basic Algebra

Ratio, Proportion, and Percent

Linear Systems

Cost-Volume-Profit Analysis and Break-Even

Trade Discounts, Cash Discounts, Markup, and Markdown

Simple Interest

Simple Interest Applications

Compound Interest - Future Value and Present Value

Compound Interest - Further Topics

Ordinary Simple Annuities

Ordinary General Annuities

Annuities Due, Deferred Annuities, and Perpetuities

Amortization of Loans, Residential Mortgages, and Sinking Funds

Investment Decision Applications

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