面對單筆負債的免疫條件

NO.PZ2018120301000036 问题如下 Chaopraya is investment aisor forhigh-net-worth invials. One of her clients, Schuylkill, plans to funhergranon’s college ecation anconsirs two options:Option 1 Contribute a lump sum of $300,000 in 10 years.Option 2 Contribute four level annupayments of $76,500 starting in 10 years.The granon will start college in 10years. Schuylkill seeks to immunize the contribution toy. For Option 1, Chaopraya calculates thepresent value of the $300,000 $234,535. To immunize the future single outfow,Chaopraya consirs three bonportfolios given thno zero- coupon governmentbon are available. The three portfolios consist of non-callable,fi­xerate, coupon-bearing government bon consirefree of fault risk.Chaopraya prepares a comparative analysis of the three portfolios, presenteinExhibit 1.Chaopraya evaluates the three bonortfolios anselects one to recommento Schuylkill.Recommenhe portfolio in Exhibit 1 thwoulbest achieve the immunization.Justify your response Justification:PortfolioA is the most appropriate portfolio because it is the only one thsatisfiesthe three criteria for immunizing a single future outflow (liability), givenththe cash flow yiel are sufficiently close in value: 1. Market Value: Portfolio A’s initimarketvalue of $235,727 excee the outflow’s present value of $234,535. Portfolio Bis not appropriate because its market value of $233,428 is less ththepresent value of the future outflow of $234,535. A bonportfolio structuretoimmunize a single liability must have initimarket value thequals or exceethe present value of the liability.2. Macaulration: Portfolio A’s Macaulayration of 9.998 closely matches the 10-yehorizon of the outflow. PortfolioC is not appropriate because its Macaulration of 9.503 is furthest awayfrom the investment horizon of 10 years. 3. Convexity: Although Portfolio C hthelowest convexity 108.091, its Macaulration es not closely mattheoutflow amount. Of the remaining two portfolios, Portfolio A hthe lowerconvexity 119.055; this lower convexity will minimize structurrisk.fault risk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero.faultrisk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero. portfolio A is best achieve the immunization.the requirements of immunization for single liability shoulmeet1、the present value of portfolio shoulexceeor equto the present value of liability2、the macaulration of portfolio equto the investment horizon of liability，whiis e te of liability3、minimize the convexity of portfolioportfolio B is not suitable e to its smaller present value 233428 th234,535；portfolio C is not suitable e to smaller macaulration th10 years

NO.PZ2018120301000036问题如下 Chaopraya is investment aisor forhigh-net-worth invials. One of her clients, Schuylkill, plans to funhergranon’s college ecation anconsirs two options:Option 1 Contribute a lump sum of $300,000 in 10 years.Option 2 Contribute four level annupayments of $76,500 starting in 10 years.The granon will start college in 10years. Schuylkill seeks to immunize the contribution toy. For Option 1, Chaopraya calculates thepresent value of the $300,000 $234,535. To immunize the future single outfow,Chaopraya consirs three bonportfolios given thno zero- coupon governmentbon are available. The three portfolios consist of non-callable,fi­xerate, coupon-bearing government bon consirefree of fault risk.Chaopraya prepares a comparative analysis of the three portfolios, presenteinExhibit 1.Chaopraya evaluates the three bonortfolios anselects one to recommento Schuylkill.Recommenhe portfolio in Exhibit 1 thwoulbest achieve the immunization.Justify your response Justification:PortfolioA is the most appropriate portfolio because it is the only one thsatisfiesthe three criteria for immunizing a single future outflow (liability), givenththe cash flow yiel are sufficiently close in value: 1. Market Value: Portfolio A’s initimarketvalue of $235,727 excee the outflow’s present value of $234,535. Portfolio Bis not appropriate because its market value of $233,428 is less ththepresent value of the future outflow of $234,535. A bonportfolio structuretoimmunize a single liability must have initimarket value thequals or exceethe present value of the liability.2. Macaulration: Portfolio A’s Macaulayration of 9.998 closely matches the 10-yehorizon of the outflow. PortfolioC is not appropriate because its Macaulration of 9.503 is furthest awayfrom the investment horizon of 10 years. 3. Convexity: Although Portfolio C hthelowest convexity 108.091, its Macaulration es not closely mattheoutflow amount. Of the remaining two portfolios, Portfolio A hthe lowerconvexity 119.055; this lower convexity will minimize structurrisk.fault risk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero.faultrisk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero. multiple的话，ration不作为判断条件，对不

NO.PZ2018120301000036 问题如下 Chaopraya is investment aisor forhigh-net-worth invials. One of her clients, Schuylkill, plans to funhergranon’s college ecation anconsirs two options:Option 1 Contribute a lump sum of $300,000 in 10 years.Option 2 Contribute four level annupayments of $76,500 starting in 10 years.The granon will start college in 10years. Schuylkill seeks to immunize the contribution toy. For Option 1, Chaopraya calculates thepresent value of the $300,000 $234,535. To immunize the future single outfow,Chaopraya consirs three bonportfolios given thno zero- coupon governmentbon are available. The three portfolios consist of non-callable,fi­xerate, coupon-bearing government bon consirefree of fault risk.Chaopraya prepares a comparative analysis of the three portfolios, presenteinExhibit 1.Chaopraya evaluates the three bonortfolios anselects one to recommento Schuylkill.Recommenhe portfolio in Exhibit 1 thwoulbest achieve the immunization.Justify your response Justification:PortfolioA is the most appropriate portfolio because it is the only one thsatisfiesthe three criteria for immunizing a single future outflow (liability), givenththe cash flow yiel are sufficiently close in value: 1. Market Value: Portfolio A’s initimarketvalue of $235,727 excee the outflow’s present value of $234,535. Portfolio Bis not appropriate because its market value of $233,428 is less ththepresent value of the future outflow of $234,535. A bonportfolio structuretoimmunize a single liability must have initimarket value thequals or exceethe present value of the liability.2. Macaulration: Portfolio A’s Macaulayration of 9.998 closely matches the 10-yehorizon of the outflow. PortfolioC is not appropriate because its Macaulration of 9.503 is furthest awayfrom the investment horizon of 10 years. 3. Convexity: Although Portfolio C hthelowest convexity 108.091, its Macaulration es not closely mattheoutflow amount. Of the remaining two portfolios, Portfolio A hthe lowerconvexity 119.055; this lower convexity will minimize structurrisk.fault risk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero.faultrisk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero. 在不同plans中，是convexity越大越好还是越小越好？伴随着什么特点？现金流的分散程度？

NO.PZ2018120301000036 问题如下 Chaopraya is investment aisor forhigh-net-worth invials. One of her clients, Schuylkill, plans to funhergranon’s college ecation anconsirs two options:Option 1 Contribute a lump sum of $300,000 in 10 years.Option 2 Contribute four level annupayments of $76,500 starting in 10 years.The granon will start college in 10years. Schuylkill seeks to immunize the contribution toy. For Option 1, Chaopraya calculates thepresent value of the $300,000 $234,535. To immunize the future single outfow,Chaopraya consirs three bonportfolios given thno zero- coupon governmentbon are available. The three portfolios consist of non-callable,fi­xerate, coupon-bearing government bon consirefree of fault risk.Chaopraya prepares a comparative analysis of the three portfolios, presenteinExhibit 1.Chaopraya evaluates the three bonortfolios anselects one to recommento Schuylkill.Recommenhe portfolio in Exhibit 1 thwoulbest achieve the immunization.Justify your response Justification:PortfolioA is the most appropriate portfolio because it is the only one thsatisfiesthe three criteria for immunizing a single future outflow (liability), givenththe cash flow yiel are sufficiently close in value: 1. Market Value: Portfolio A’s initimarketvalue of $235,727 excee the outflow’s present value of $234,535. Portfolio Bis not appropriate because its market value of $233,428 is less ththepresent value of the future outflow of $234,535. A bonportfolio structuretoimmunize a single liability must have initimarket value thequals or exceethe present value of the liability.2. Macaulration: Portfolio A’s Macaulayration of 9.998 closely matches the 10-yehorizon of the outflow. PortfolioC is not appropriate because its Macaulration of 9.503 is furthest awayfrom the investment horizon of 10 years. 3. Convexity: Although Portfolio C hthelowest convexity 108.091, its Macaulration es not closely mattheoutflow amount. Of the remaining two portfolios, Portfolio A hthe lowerconvexity 119.055; this lower convexity will minimize structurrisk.fault risk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero.faultrisk (cret risk) is not consirebecause the portfolios consist ofgovernment bon thpresumably have fault probabilities approaching zero. 这两个值（market value， ration或者BPV）一会大一点小一点没关系，一会大小一点就不行，考试的时候也会这么不精确吗？