(A bond forward) A certain 10-year bond is currently selling for $920 A friend of yours owns a forward contract on this bond that has a delivery date in 1 year and a delivery price of s 940. The bond pays coupons of $ 80 every 6 months, with one due 6 months from now and another just before maturity of the forward. The current interest rates for 6 months and 1 year (compounded semiannually) are 7% and 8%. respectively (annual rates compounded every 6 months). What is the current value of the forward contract? First solve for the current forward price Ft of the bond: Hint Ft d, M) に1 d(k, M) S=920 d(0, M)- d(2, M) c(k)- 80

-$100

Explanation:

Value of forward contract = Selling price - Forward price on bond

Forward price = Present value of cashflows + Present value of bond

Periodic rate = 7%/ 2 = 3.5% per semi annum

= 8% / 2 = 4%

3.5% will be used to discount the payment 6 months from now as that is the 6 month rate. The rest will be 4%.

= (80 / (1 + 3.5%) ) + ( 80 / ( 1 + 4%)²) + (940 / ( 1 +4%)²)

= $1,020.342

= $1,020

Value of forward contract = 920 - 1,020

= -$100

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.