Two best friends, Thelma and Louise, are making long-range plans for a road trip vacation to Mexico. They will embark on this adventure in five years and want to invest during the five-year period to earn money for the trip. They decide to purchase a $1,000 Grand Canyon Oil Company bond with an annual coupon rate of 10 percent with interest to be paid semiannually. The bond will mature in five years. The YTM of similar bonds is 8 percent. How much should they be willing to pay for the bond if they purchase it today

Bond Price​= $1,081.1

Explanation:

Giving the following formula:

Face value= $1,000

Number of periods= 5*2= 10 semesters

Coupon= (0.1/2)*1,000= $50

YTM= 0.08/2= 0.04

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 50*{[1 - (1.04^-10)] / 0.04} + [1,000 / (1.04^10)]

Bond Price​= 405.54 + 675.56

Bond Price​= $1,081.1

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of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.