In: Finance
Suppose you purchase a 9-year AAA-rated Swiss bond for par that is paying an annual coupon of 6 percent and has a face value of 1,400 Swiss francs (SF). The spot rate is U.S. $0.66667 for SF1. At the end of the year, the bond is downgraded to AA and the yield increases to 8 percent. In addition, the SF depreciates to U.S. $0.74074 for SF1. a. What is the loss or gain to a Swiss investor who holds this bond for a year? (Input the amount as a positive value. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) loss to Swiss investor %?
b. What is the loss or gain to a U.S. investor who holds this bond for a year? (Input the amount as a positive value. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) gain to U.S. investor %?
Cost for Swiss investor | 1400Sf | |||
Bond value after degrading is the present value of future cashflows | ||||
in Swss franc | ||||
1 year lapsed, so remaining period is 8 years the and the yeild increased to 8%, so discount rate will be 8% | ||||
year | cash flow | discount factor@8% | Present value | |
1 | 84.00 | 0.9259259259259260 | 77.77777777777780 | |
2 | 84.00 | 0.8573388203017830 | 72.01646090534980 | |
3 | 84.00 | 0.7938322410201690 | 66.68190824569420 | |
4 | 84.00 | 0.7350298527964530 | 61.74250763490210 | |
5 | 84.00 | 0.6805831970337530 | 57.16898855083520 | |
6 | 84.00 | 0.6301696268831050 | 52.93424865818080 | |
7 | 84.00 | 0.5834903952621340 | 49.01319320201920 | |
8 | 1484.00 | 0.5402688845019760 | 801.75902460093200 | |
Value of bond in Sf | 1239.09410957569000 | |||
1239.09411 | ||||
Profit = (coupon + sale value - purchase value) / purchase value | ||||
profit for Swiss investor = (84 + 1239.09410957569 - 1400) / 1400 = | -0.0549327788745071 | |||
profit = -5.49327788745071% | ||||
rounded to 2 decimal places = | -5.49% | |||
which means loss of 5.49% | ||||
Cast of US investor = 1400 X 0.66667 | $933.33800 | |||
sale value for investor = 1239.09410957569 X $0.74074 | $917.84657072709700 | |||
Profit = (coupon + sale value - purchase value) / purchase value | ||||
Coupon = 84 X $0.74074 | $62.22216000000000 | |||
profit=($62.22216+$917.846570727097-$933.338000)/$933.338000 | 0.0500683897228 | |||
profit = 0.0500683897227982 or 500683897227982% | ||||
profit Rounded to 2 decimal points | 5.01% | |||
Please rate the answer maximum if you get the answer and satisfied. If you remains any doubts on this answer, please leave a comment and it will be cleared.
thank you.....